2026 Cambridge IAL Accounting (9706) 模擬試題連答案詳解

Initial position:
Debits exceeded credits by $1 840, so the suspense account had an initial credit balance of $1 840.

Adjustment for Error 1:
Credit purchase of $620 posted to supplier's debit as $260.
To correct: Credit supplier with $260 (to remove debit) + $620 (for correct credit) = $880 credit.
Corresponding entry to suspense account: Debit suspense with $880.

Adjustment for Error 2:
Discount received of $350 posted to discount allowed (debit) instead of discount received (credit).
To correct: Credit discount allowed with $350 and credit discount received with $350 (total credit $700).
Corresponding entry to suspense account: Debit suspense with $700.

Adjustment for Error 3:
Complete omission does not affect the trial balance agreement and requires no entry in the suspense account.

Remaining suspense account balance:
Credit $1 840 - Debit $880 - Debit $700 = $260 Credit.

B is correct [1 mark].
Initial balance on suspense = $1 840 (Cr).
Correction 1: Debit suspense $880 ($620 + $260).
Correction 2: Debit suspense $700 (2 × $350).
Correction 3: No entry in suspense (omission).
Remaining balance = $1 840 - $880 - $700 = $260 (Cr).

Initial total equity at 1 January 2025:
$$\text{Total equity} = \$400\,000 + \$90\,000 + \$60\,000 + \$130\,000 = \$680\,000$$

1. Rights issue:
Number of shares at start = $\frac{$400\,000}{$0.50} = 800\,000$ shares.
Rights issue: $\frac{800\,000}{4} = 200\,000$ shares at $0.80 each.
Cash received / increase in equity = $200\,000 \times $0.80 = $160\,000$.
(Share capital increases by $200\,000 \times $0.50 = $100\,000$; Share premium increases by $200\,000 \times $0.30 = $60\,000$).

2. Bonus issue:
A bonus issue capitalises existing reserves and does not change total equity.

3. Profit and dividends:
Profit for the year increases equity by $75 000.
Dividends paid decrease equity by $20 000.

Total equity at 31 December 2025:
$$\text{Total equity} = \$680\,000 + \$160\,000 + \$75\,000 - \$20\,000 = \$895\,000$$

C is correct [1 mark].
Initial equity = $680 000.
Rights issue proceeds = 200 000 shares × $0.80 = +$160 000.
Bonus issue = $0 net impact on total equity.
Profit for the year = +$75 000.
Dividend paid = -$20 000.
Closing equity = $680 000 + $160 000 + $75 000 - $20 000 = $895 000.

1. Calculate contribution per unit:
Product Alpha:
$$\text{Variable cost} = \$12 + \$15 + \$5 = \$32$$
$$\text{Contribution} = \$48 - \$32 = \$16$$

Product Beta:
$$\text{Variable cost} = \$20 + \$10 + \$7 = \$37$$
$$\text{Contribution} = \$65 - \$37 = \$28$$

2. Material required per unit (at $4 per kg):
Product Alpha: $\frac{$12}{$4} = 3\text{ kg}$
Product Beta: $\frac{$20}{$4} = 5\text{ kg}$

3. Contribution per kg of limiting factor:
Product Alpha: $\frac{$16}{3\text{ kg}} = $5.33\text{ per kg}$
Product Beta: $\frac{$28}{5\text{ kg}} = $5.60\text{ per kg}$

Ranking: 1st Beta, 2nd Alpha.

4. Production plan with 7 500 kg limit:
Produce 1 000 units of Beta: $1\,000 \times 5\text{ kg} = 5\,000\text{ kg}$.
Remaining material: $7\,500 - 5\,000 = 2\,500\text{ kg}$.
Produce Alpha units: $\frac{2\,500\text{ kg}}{3\text{ kg}} = 833.33\text{ units} \implies 833\text{ units}$ (or $833\frac{1}{3}$ units).

Total contribution:
From Beta: $1\,000 \times $28 = $28\,000$
From Alpha: $833.33 \times $16 = $13\,333.33$
$$\text{Total contribution} = \$28\,000 + \$13\,333 = \$41\,333$$

D is correct [1 mark].
Contribution per unit: Alpha = $16; Beta = $28.
Direct material per unit: Alpha = 3 kg; Beta = 5 kg.
Contribution per kg: Alpha = $5.33; Beta = $5.60. Priority = Beta first, then Alpha.
Produce Beta: 1 000 units using 5 000 kg (Contribution = $28 000).
Produce Alpha: 2 500 kg / 3 kg = 833.33 units (Contribution = $13 333).
Total contribution = $41 333.

Depreciation policy:
Full year in year of acquisition (2023), full year in 2024, no depreciation in year of disposal (2025).

Carrying amount at date of disposal:
Cost (1 Jan 2023) = $45 000
Depreciation for 2023: $20\% \times $45\,000 = $9\,000$
Carrying amount at 31 Dec 2023 = $$45\,000 - \$9\,000 = \$36\,000\$
Depreciation for 2024: \$20\% \times \$36\,000 = \$7\,200\$
Carrying amount at 31 Dec 2024 / disposal date = $$36\,000 - $7\,200 = $28\,800$

Disposal calculation:
$$\text{Disposal proceeds (part-exchange value)} = \$26\,000$$
$$\text{Profit/(Loss) on disposal} = \$26\,000 - \$28\,800 = -\$2\,800\text{ (Loss of } \$2\,800\text{)}$$

A is correct [1 mark].
Cost = $45 000.
Year 1 depreciation = $9 000; NBV = $36 000.
Year 2 depreciation = $7 200; NBV at disposal = $28 800.
Part-exchange value = $26 000.
Loss on disposal = $28 800 - $26 000 = $2 800.

1. Calculate Cost of Sales:
$$\text{Gross profit margin} = 25\%$$
$$\text{Gross profit} = 25\% \times \$360\,000 = \$90\,000$$
$$\text{Cost of sales} = \$360\,000 - \$90\,000 = \$270\,000$$

2. Calculate Rate of Inventory Turnover (times):
$$\text{Average inventory} = \frac{\$28\,000 + \$36\,000}{2} = \$32\,000$$
$$\text{Rate of inventory turnover} = \frac{\text{Cost of sales}}{\text{Average inventory}} = \frac{\$270\,000}{\$32\,000} = 8.44\text{ times}$$

3. Calculate Trade Receivables Turnover (days):
$$\text{Trade receivables turnover} = \frac{\text{Trade receivables}}{\text{Credit sales}} \times 365 = \frac{\$44\,000}{\$360\,000} \times 365 = 44.61 \approx 45\text{ days}$$

B is correct [1 mark].
Cost of sales = $360 000 × 75% = $270 000.
Average inventory = ($28 000 + $36 000) / 2 = $32 000.
Rate of inventory turnover = $270 000 / $32 000 = 8.44 times.
Trade receivables turnover = ($44 000 / $360 000) × 365 = 44.61 days (45 days).

Periodic AVCO calculates one weighted average cost for the entire period across all goods available for sale.

1. Calculate total units and total cost of goods available for sale:
Opening inventory: $200 \times $14.00 = $2\,800$
Purchase 8 March: $300 \times $15.00 = $4\,500$
Purchase 21 March: $500 \times $16.20 = $8\,100$
$$\text{Total available units} = 200 + 300 + 500 = 1\,000\text{ units}$$
$$\text{Total cost} = \$2\,800 + \$4\,500 + \$8\,100 = \$15\,400$$

2. Calculate periodic weighted average cost per unit:
$$\text{Weighted average cost per unit} = \frac{\$15\,400}{1\,000} = \$15.40$$

3. Calculate closing inventory units:
$$\text{Closing inventory} = 1\,000 - 350 - 400 = 250\text{ units}$$

4. Calculate closing inventory value:
$$\text{Closing inventory value} = 250 \times \$15.40 = \$3\,850$$

B is correct [1 mark].
Total units available = 1 000.
Total cost available = $2 800 + $4 500 + $8 100 = $15 400.
Periodic AVCO unit cost = $15 400 / 1 000 = $15.40.
Closing inventory units = 200 + 300 - 350 + 500 - 400 = 250 units.
Closing inventory value = 250 × $15.40 = $3 850.

1. Add interest on drawings to profit:
Lara: $5\% \times $16\,000 = $800$
Mateo: $5\% \times $10\,000 = $500$
$$\text{Total profit available} = \$68\,000 + \$800 + \$500 = \$69\,300$$

2. Deduct interest on capital:
Lara: $6\% \times $80\,000 = $4\,800$
Mateo: $6\% \times $50\,000 = $3\,000$
$$\text{Total interest on capital} = \$7\,800$$

3. Deduct partner salary:
$$\text{Mateo's salary} = \$12\,000$$

4. Calculate residual profit:
$$\text{Residual profit} = \$69\,300 - \$7\,800 - \$12\,000 = \$49\,500$$

5. Lara's share of residual profit (3/5):
$$\text{Lara's share} = \frac{3}{5} \times \$49\,500 = \$29\,700$$

C is correct [1 mark].
Net profit = $68 000.
+ Interest on drawings = $800 + $500 = $1 300.
- Interest on capital = $4 800 + $3 000 = $7 800.
- Partner salary = $12 000.
Residual profit = $68 000 + $1 300 - $7 800 - $12 000 = $49 500.
Lara's share = 3/5 × $49 500 = $29 700.

1. Predetermined Overhead Absorption Rate (OAR):
$$\text{OAR} = \frac{\text{Budgeted overheads}}{\text{Budgeted direct labour hours}} = \frac{\$432\,000}{72\,000\text{ hours}} = \$6.00\text{ per direct labour hour}$$

2. Overheads absorbed during the year:
$$\text{Overheads absorbed} = \text{Actual hours worked} \times \text{OAR} = 76\,000 \times \$6.00 = \$456\,000$$

3. Over/under absorption calculation:
$$\text{Overheads absorbed} - \text{Actual overheads incurred} = \$456\,000 - \$445\,000 = +\$11\,000$$
Because absorbed overheads exceed actual overheads incurred, overheads were over-absorbed by $11 000.

A is correct [1 mark].
OAR = $432 000 / 72 000 hours = $6.00 per direct labour hour.
Absorbed overheads = 76 000 hours × $6.00 = $456 000.
Actual overheads = $445 000.
Over-absorbed = $456 000 - $445 000 = $11 000.

To find the corrected sales ledger control account balance:

- Original balance: $48 200 (debit)
- Sales returns journal overcast by $350: The credit total posted to the control account was too high, so the control account must be debited by $350 (+$350).
- Irrecoverable debt omitted from control account: It must be credited to the control account (-$620).
- Credit sale understated in sales journal: The total debit posted to the control account was understated by $840 - $480 = $360, so the control account must be debited by $360 (+$360).

Correct balance = $48 200 + $350 - $620 + $360 = $48 290.

[1 mark] for the correct option B ($48 290).

1. Existing number of ordinary shares = $400 000 / $0.50 = 800 000 shares.
2. Rights issue: 800 000 / 4 = 200 000 shares at $0.80.
- Nominal value = 200 000 \times $0.50 = $100 000
- Premium = 200 000 \times ($0.80 - $0.50) = $60 000
- Share premium balance after rights issue = $120 000 + $60 000 = $180 000.
3. Total shares after rights issue = 800 000 + 200 000 = 1 000 000 shares.
4. Bonus issue: 1 000 000 / 5 = 200 000 bonus shares.
- Total nominal value of bonus shares = 200 000 \times $0.50 = $100 000.
- Funded from the share premium account: $180 000 - $100 000 = $80 000.

[1 mark] for the correct option B ($80 000).

1. Available capacity = 10 000 - 8 000 = 2 000 units. The special order of 1 500 units can be produced without sacrificing existing sales.
2. Unit variable cost = Direct materials ($14) + Direct labour ($16) + Variable overheads ($6) = $36.
3. Unit contribution from special order = $42 - $36 = $6 per unit.
4. Total contribution from 1 500 units = 1 500 \times $6 = $9 000.
5. Additional fixed tooling cost = $3 000.
6. Net increase in annual profit = $9 000 - $3 000 = $6 000.

[1 mark] for the correct option B (Increase by $6 000).

1. Predetermined overhead absorption rate (OAR) = Budgeted overheads / Budgeted direct labour hours = $280 000 / 70 000 hours = $4.00 per direct labour hour.
2. Overheads absorbed = Actual direct labour hours \times OAR = 72 000 hours \times $4.00 = $288 000.
3. Over/under absorption = Absorbed overheads - Actual overheads = $288 000 - $294 000 = -$6 000 (i.e. $6 000 under-absorbed).

[1 mark] for the correct option B ($6 000 under-absorbed).

1. Cost on 1 January 2023 = $60 000.
2. Depreciation for year ended 31 December 2023: 20% \times $60 000 = $12 000. Carrying amount = $48 000.
3. Depreciation for year ended 31 December 2024: 20% \times $48 000 = $9 600. Carrying amount = $38 400.
4. Depreciation for year ended 31 December 2025: $0 (no depreciation charged in year of disposal).
5. Carrying amount at disposal = $38 400.
6. Disposal proceeds (part-exchange allowance) = $35 000.
7. Loss on disposal = Carrying amount - Disposal proceeds = $38 400 - $35 000 = $3 400 loss.

[1 mark] for the correct option A (Loss of $3 400).

1. Interest on drawings:
- Priya: 5% \times $24 000 = $1 200
- Quinton: 5% \times $18 000 = $900
- Total = $2 100
2. Total available profit = $85 000 + $2 100 = $87 100
3. Interest on capital:
- Priya: 6% \times $80 000 = $4 800
- Quinton: 6% \times $60 000 = $3 600
- Total = $8 400
4. Salaries: Priya $15 000 + Quinton $10 000 = $25 000
5. Residual profit = $87 100 - $8 400 - $25 000 = $53 700
- Quinton's share (2/5) = 2/5 \times $53 700 = $21 480
6. Quinton's Current Account:
- Opening debit balance: ($1 800)
- Salary credit: +$10 000
- Interest on capital credit: +$3 600
- Profit share credit: +$21 480
- Drawings debit: -$18 000
- Interest on drawings debit: -$900
- Closing balance = -$1 800 + $10 000 + $3 600 + $21 480 - $18 000 - $900 = $14 380 credit.

[1 mark] for the correct option B ($14 380 credit).

1. Average inventory = ($65 000 + $75 000) / 2 = $70 000.
2. Rate of inventory turnover = Cost of sales / Average inventory = $420 000 / $70 000 = 6.0 times.
3. Trade payables turnover = (Trade payables / Credit purchases) \times 365 days = ($54 000 / $360 000) \times 365 = 0.15 \times 365 = 54.75 days (rounded to 55 days).

[1 mark] for the correct option C (6.0 times; 55 days).

The matching (accruals) concept requires that income and expenses are recognised in the period to which they relate, rather than when the cash is paid or received. Only 1 month (December 2024 = $1 200) relates to the current accounting period, so the remaining 11 months ($13 200) is carried forward as a prepayment to match against the future accounting period.

[1 mark] for the correct option B (Matching (accruals)).

1. Initial number of ordinary shares = $\frac{$400\,000}{$0.50} = 800\,000\text{ shares}$.

2. Bonus issue (1 for 4):
- Bonus shares issued = $\frac{800\,000}{4} = 200\,000\text{ shares}$.
- Nominal value of bonus issue = $200\,000 \times $0.50 = $100\,000$.
- Funded from share premium to the maximum: $$60\,000\$ utilized from share premium (reducing share premium to $$0$), and remaining $$40\,000\$ utilized from retained earnings.
- Total number of shares after bonus issue = \$800\,000 + 200\,000 = 1\,000\,000\text{ shares}\$.

3. Rights issue (1 for 5):
- Rights shares issued = \$\frac{1\,000\,000}{5} = 200\,000\text{ shares}\$.
- Issue price per share = $$0.80$, representing a premium of $$0.80 - \$0.50 = \$0.30\$ per share.
- Premium received from rights issue = \$200\,000 \times \$0.30 = \$60\,000\$.

4. Final share premium balance:
- Balance = $$0 + $60\,000 = $60\,000$.

B is correct [1 mark].
Calculation of bonus shares: 800 000 / 4 = 200 000 shares ($100 000). Share premium reduced by $60 000 to nil.
Calculation of rights shares: 1 000 000 / 5 = 200 000 shares at $0.30 premium = $60 000.
Ending share premium = $60 000.

1. Calculate contribution per unit:
- Alpha: $$60 - (\$16 + \$20 + \$6) = \$60 - \$42 = \$18\$
- Beta: $$85 - ($28 + $15 + $12) = $85 - $55 = $30$

2. Calculate material requirement per unit (limiting factor):
- Direct material cost per kg = $$4\$
- Alpha: \$\frac{\$16}{\$4} = 4\text{ kg per unit}\$
- Beta: \$\frac{\$28}{\$4} = 7\text{ kg per unit}\$

3. Calculate contribution per kg of limiting factor:
- Alpha: \$\frac{\$18}{4\text{ kg}} = \$4.50\text{ per kg}\$
- Beta: \$\frac{\$30}{7\text{ kg}} = \$4.29\text{ per kg}\$

4. Ranking:
- Rank 1: Alpha ($$4.50 > $4.29$)
- Rank 2: Beta

5. Optimal production plan:
- Produce maximum demand of Alpha: $1\,200\text{ units} \times 4\text{ kg} = 4\,800\text{ kg}$
- Remaining material for Beta: $12\,600\text{ kg} - 4\,800\text{ kg} = 7\,800\text{ kg}$
- Units of Beta produced: $\frac{7\,800\text{ kg}}{7\text{ kg per unit}} = 1\,114.28$, but demand is $1\,000\text{ units}$, which uses $1\,000 \times 7\text{ kg} = 7\,000\text{ kg}$.
- Since remaining material ($7\,800\text{ kg}$) exceeds the material needed for Beta demand ($7\,000\text{ kg}$), the business can produce the full demand of both Alpha ($1\,200\text{ units}$) and Beta ($1\,000\text{ units}$), using $4\,800 + 7\,000 = 11\,800\text{ kg}$.

C is correct [1 mark].
Contribution: Alpha = $18 ($4.50/kg), Beta = $30 ($4.29/kg).
Total kg required for full demand = (1 200 × 4) + (1 000 × 7) = 4 800 + 7 000 = 11 800 kg.
Since 11 800 kg < 12 600 kg available, maximum demand of both products can be met: 1 200 Alpha and 1 000 Beta.

1. Draft profit = $$63\,400\$.

2. Adjustment for Error 1 (Sales returns journal overcast by $$750$):
- Overcasting sales returns overstates expenses / deductions from revenue, which understates profit.
- Correction: Add $$750\$.

3. Adjustment for Error 2 (Discounts allowed credited to discount received):
- Discount received was incorrectly credited by $$320$ (overstating income by $$320\$).
- Discount allowed was omitted as an expense of $$320$ (understating expenses by $$320\$).
- Correction: Deduct \$2 \times \$320 = \$640\$.

4. Adjustment for Error 3 (Vehicle repairs capitalized):
- Motor repairs of $$1\,800$ should be recognized as an expense $\rightarrow$ Deduct $$1\,800\$.
- Depreciation of \$20\% \times \$1\,800 = \$360\$ was incorrectly charged \$\rightarrow\$ Add back $$360$.
- Net adjustment: Deduct $$1\,800 - \$360 = \$1\,440\$.

5. Corrected profit:
$$\text{Profit} = \$63\,400 + \$750 - \$640 - \$1\,440 = \$62\,070$$

A is correct [1 mark].
Calculation: $63 400 + $750 (sales returns correction) - $640 (discount correction) - $1 440 (net repair expense correction) = $62 070.

1. Depreciation calculation:
- Year ended 30 September 2022: $15\% \times $80\,000 = $12\,000$. Carrying amount = $$80\,000 - \$12\,000 = \$68\,000\$.
- Year ended 30 September 2023: \$15\% \times \$68\,000 = \$10\,200\$. Carrying amount = $$68\,000 - $10\,200 = $57\,800$.
- Year ended 30 September 2024 (year of disposal): No depreciation charged according to the policy.

2. Total accumulated depreciation up to disposal = $$12\,000 + \$10\,200 = \$22\,200\$.

3. Carrying amount at date of disposal = $$80\,000 - $22\,200 = $57\,800$.

4. Profit or loss on disposal:
$$\text{Disposal proceeds (part-exchange allowance)} - \text{Carrying amount} = \$46\,000 - \$57\,800 = -\$11\,800$$
Therefore, there is a loss on disposal of $$11\,800$.

D is correct [1 mark].
Carrying amount at disposal = $80 000 × 0.85 × 0.85 = $57 800.
Loss on disposal = Carrying amount ($57 800) - Part-exchange allowance ($46 000) = $11 800 loss.

1. Calculate interest on capital:
- Priya: $6\% \times $120\,000 = $7\,200$
- Qadir: $6\% \times $80\,000 = $4\,800$
- Total interest on capital = $$12\,000\$

2. Total interest on drawings = $$1\,000 + $720 = $1\,720$

3. Calculate residual profit for appropriation:
$$\text{Residual profit} = \text{Profit for year} + \text{Interest on drawings} - \text{Interest on capital} - \text{Partner's salary}$$
$$\text{Residual profit} = \$98\,280 + \$1\,720 - \$12\,000 - \$14\,000 = \$74\,000$$

4. Share of residual profit:
- Priya ($3/5$): $\frac{3}{5} \times $74\,000 = $44\,400$
- Qadir ($2/5$): $\frac{2}{5} \times $74\,000 = $29\,600$

5. Priya's total profit credited to current account:
$$\text{Salary} + \text{Interest on capital} + \text{Share of residual profit} = \$14\,000 + \$7\,200 + \$44\,400 = \$65\,600$$
(Note: Interest on drawings is a debit to current account, not a profit share credited).

B is correct [1 mark].
Residual profit = $98 280 + $1 720 - $12 000 - $14 000 = $74 000.
Priya's share of residual profit = $74 000 × 3/5 = $44 400.
Total credited to Priya's current account = $14 000 (salary) + $7 200 (interest on capital) + $44 400 (profit share) = $65 600.

1. The matching/accruals concept requires that expenses incurred in earning revenue in an accounting period are matched against the revenues of that same period.
2. Depreciating non-current assets allocates the cost of the asset over the accounting periods that benefit from its use.
3. Creating an allowance for irrecoverable debts ensures that the anticipated expense of unpaid debts is matched against the revenue generated from those credit sales in the period the sales were made.
4. Therefore, both practices are applications of the matching/accruals concept.

C is correct [1 mark].
Both practices ensure that expenses (cost of using assets and losses from credit sales) are matched against the revenues generated in that period (Matching / Accruals).

1. Calculate total units and total cost of available goods:
- 1 May: $400\text{ units} \times $12.00 = $4\,800$
- 8 May: $600\text{ units} \times $13.50 = $8\,100$
- 22 May: $500\text{ units} \times $15.00 = $7\,500$
- Total units available = $400 + 600 + 500 = 1\,500\text{ units}$
- Total cost = $$4\,800 + \$8\,100 + \$7\,500 = \$20\,400\$

2. Calculate periodic weighted average cost per unit:
$$\text{Weighted average cost per unit} = \frac{\$20\,400}{1\,500\text{ units}} = \$13.60\text{ per unit}$$

3. Calculate units in closing inventory:
- Total units available = \$1\,500\$
- Units sold = \$700 + 350 = 1\,050\$
- Closing inventory units = \$1\,500 - 1\,050 = 450\text{ units}\$

4. Value of closing inventory:
$$\text{Value} = 450\text{ units} \times \$13.60 = \$6\,120$$

A is correct [1 mark].
Total cost of goods available = (400 × $12) + (600 × $13.50) + (500 × $15) = $4 800 + $8 100 + $7 500 = $20 400.
Periodic AVCO per unit = $20 400 / 1 500 = $13.60.
Closing inventory = (1 500 - 1 050) × $13.60 = 450 × $13.60 = $6 120.

1. Calculate Predetermined Overhead Absorption Rate (OAR):
$$\text{OAR} = \frac{\text{Budgeted overheads}}{\text{Budgeted direct labour hours}} = \frac{\$192\,000}{24\,000\text{ hours}} = \$8.00\text{ per direct labour hour}$$

2. Calculate overhead absorbed:
$$\text{Overhead absorbed} = \text{Actual hours worked} \times \text{OAR} = 25\,000\text{ hours} \times \$8.00 = \$200\,000$$

3. Calculate under/over absorption:
$$\text{Under/Over absorption} = \text{Overhead absorbed} - \text{Actual overhead incurred}$$
$$\text{Under/Over absorption} = \$200\,000 - \$205\,000 = -\$5\,000$$
Since actual overhead incurred exceeds absorbed overhead, overheads were under-absorbed by $$5\,000$.

D is correct [1 mark].
OAR = $192 000 / 24 000 = $8 per direct labour hour.
Absorbed overhead = 25 000 hours × $8 = $200 000.
Actual overhead = $205 000.
Difference = $200 000 - $205 000 = $5 000 under-absorbed.

1. Initial number of shares = $\frac{$300\,000}{$0.50} = 600\,000$ shares.

2. Rights issue (1 for 4):
- Number of rights shares issued = $\frac{600\,000}{4} = 150\,000$ shares.
- Share premium created = $150\,000 \times ($0.80 - $0.50) = 150\,000 \times $0.30 = $45\,000$.
- Share premium after rights issue = $$80\,000 + \$45\,000 = \$125\,000\$.

3. Total shares held after rights issue = \$600\,000 + 150\,000 = 750\,000\$ shares.

4. Bonus issue (1 for 5):
- Number of bonus shares = \$\frac{750\,000}{5} = 150\,000\$ shares.
- Nominal value of bonus shares = \$150\,000 \times \$0.50 = \$75\,000\$.
- To preserve revenue reserves, the bonus issue is financed from share premium (a capital reserve).
- Share premium utilised = $$75\,000$.

5. Final balance on share premium account at 31 December 2025 = $$125\,000 - $75\,000 = $50\,000$.

[1 mark] for the correct option A ($50 000).

Calculation of corrected sales ledger control account balance:

- Draft balance = $$48\,600\$ (debit)
- Error 1 (Over-credited by $$1\,520 - $1\,250 = $270$): Debit SLCA by $$270\$
- Error 2 (Sales returns omitted from journal, thus omitted from SLCA): Credit SLCA by $$340$
- Error 3 (Irrecoverable debt omitted from general ledger): Credit SLCA by $$650\$
- Error 4 (Dishonoured cheque credited instead of debited): Debit SLCA by \$2 \times \$420 = \$840\$

Corrected balance = $$48\,600 + $270 - $340 - $650 + $840 = $48\,720$ (debit).

[1 mark] for the correct option C ($48 720).

1. Calculate contribution per unit and contribution per machine hour:
- Product X:
- Variable overhead = $4\text{ hours} \times $2 = $8$
- Total variable cost = $$18 + \$14 + \$8 = \$40\$
- Unit contribution = $$60 - $40 = $20$
- Contribution per machine hour = $\frac{$20}{4} = $5.00$ (Rank 2)

- Product Y:
- Variable overhead = $6\text{ hours} \times $2 = $12$
- Total variable cost = $$26 + \$18 + \$12 = \$56\$
- Unit contribution = $$80 - $56 = $24$
- Contribution per machine hour = $\frac{$24}{6} = $4.00$ (Rank 3)

- Product Z:
- Variable overhead = $2.5\text{ hours} \times $2 = $5$
- Total variable cost = $$15 + \$10 + \$5 = \$30\$
- Unit contribution = $$50 - $30 = $20$
- Contribution per machine hour = $\frac{$20}{2.5} = $8.00$ (Rank 1)

2. Optimum production schedule (4 200 hours available):
- Produce 600 units of Z: $600 \times 2.5\text{ hours} = 1\,500\text{ hours}$; Contribution = $600 \times $20 = $12\,000$
- Produce 500 units of X: $500 \times 4.0\text{ hours} = 2\,000\text{ hours}$; Contribution = $500 \times $20 = $10\,000$
- Remaining hours = $4\,200 - (1\,500 + 2\,000) = 700\text{ hours}$
- Use remaining 700 hours on Y: Contribution = $700\text{ hours} \times $4.00 = $2\,800$

3. Total contribution = $$12\,000 + \$10\,000 + \$2\,800 = \$24\,800\$
4. Maximum profit = Total contribution - Fixed overheads = $$24\,800 - $12\,000 = $12\,800$.

[1 mark] for the correct option A ($12 800).

1. Depreciation calculation:
- Cost (1 January 2022) = $$36\,000\$
- Year 2022 depreciation = \$25\% \times \$36\,000 = \$9\,000\$
- Carrying amount at 31 December 2022 = $$36\,000 - $9\,000 = $27\,000$
- Year 2023 depreciation = $25\% \times $27\,000 = $6\,750$
- Carrying amount at 31 December 2023 = $$27\,000 - \$6\,750 = \$20\,250\$
- Year 2024 depreciation = $$0$ (none in year of disposal)
- Carrying amount at disposal = $$20\,250\$

2. Part-exchange allowance:
- Part-exchange allowance = Cost of new van - Bank payment = $$42\,000 - $14\,500 = $27\,500$

3. Profit on disposal:
- Profit on disposal = Part-exchange allowance - Carrying amount = $$27\,500 - $20\,250 = $7\,250$ profit.

[1 mark] for the correct option B ($7 250 profit).

1. Predetermined overhead absorption rate (OAR) = $\frac{\text{Budgeted overheads}}{\text{Budgeted direct labour hours}} = \frac{$384\,000}{48\,000} = $8.00\text{ per direct labour hour}$.

2. Overheads absorbed = Actual direct labour hours $\times$ OAR = $52\,500\text{ hours} \times $8.00 = $420\,000$.

3. Overheads incurred = $$410\,000\$.

4. Over-absorption = Overheads absorbed - Overheads incurred = $$420\,000 - $410\,000 = $10\,000\text{ over-absorbed}$.

[1 mark] for the correct option A ($10 000 over-absorbed).

1. Corrected trade receivables at 30 September 2025:
- Opening trade receivables = $$184\,000\$
- Add credit sales = $$620\,000$
- Less cash received = $$590\,000\$
- Less irrecoverable debts written off = $$7\,600$
- Add back recovered debt erroneously credited to receivables = $$1\,400\$
- Corrected trade receivables = $$184\,000 + $620\,000 - $590\,000 - $7\,600 + $1\,400 = $207\,800$

2. Required allowance for irrecoverable debts at 30 September 2025 = $5\% \times $207\,800 = $10\,390$.
- Increase in allowance = $$10\,390 - \$9\,200 = \$1\,190\$.

3. Total net charge to the statement of profit or loss:
- Irrecoverable debts written off = $$7\,600$ (expense)
- Increase in allowance = $$1\,190\$ (expense)
- Irrecoverable debt recovered = $$1\,400$ (income/credit)
- Total net charge = $$7\,600 + $1\,190 - $1\,400 = $7\,390$.

[1 mark] for the correct option A ($7 390).

### (a) Statement of Profit or Loss for the year ended 31 December 2024

$$\begin{array}{lrr}
\hline
\textbf{Vandell Ltd} & & \\
\textbf{Statement of Profit or Loss for the year ended 31 December 2024} & & \\
\hline
& \$ & \$ \\
\text{Revenue } (740\,000 - 8\,000) & & 732\,000 \\
\text{Cost of sales:} & & \\
\quad \text{Opening inventory} & 54\,000 & \\
\quad \text{Purchases} & 385\,000 & \\
\quad \text{Carriage inwards} & 4\,500 & \\
\quad \text{Depreciation of plant and machinery } [20\% \times (160\,000 - 64\,000)] & 19\,200 & \\
& 462\,700 & \\
\quad \text{Less: Closing inventory } [61\,200 - (4\,800 - 2\,600)] & (59\,000) & (403\,700) \\
\hline
\textbf{Gross profit} & & \mathbf{328\,300} \\
\text{Operating expenses:} & & \\
\quad \text{Administrative expenses } (\text{W1}) & 101\,600 & \\
\quad \text{Distribution costs } (\text{W2}) & 72\,800 & (174\,400) \\
\hline
\textbf{Profit from operations} & & \mathbf{153\,900} \\
\text{Finance costs: Debenture interest } (6\% \times 80\,000) & & (4\,800) \\
\hline
\textbf{Profit for the year} & & \mathbf{149\,100} \\
\hline
\end{array}$$

Workings:
- W1: Administrative expenses
$$\text{Per trial balance} = \$98\,400$$
$$\text{Less prepayment} = (\$3\,600)$$
$$\text{Add irrecoverable debt} = \$3\,000$$
$$\text{Less decrease in allowance for irrecoverable debts } [3\,200 - (4\% \times 75\,000)] = (\$200)$$
$$\text{Add depreciation of buildings } [2\% \times (350\,000 - 150\,000)] = \$4\,000$$
$$\text{Total} = 98\,400 - 3\,600 + 3\,000 - 200 + 4\,000 = \$101\,600$$

- W2: Distribution costs
$$\text{Per trial balance} = \$62\,100$$
$$\text{Add carriage outwards} = \$6\,200$$
$$\text{Add accrued distribution costs} = \$4\,500$$
$$\text{Total} = 62\,100 + 6\,200 + 4\,500 = \$72\,800$$

---

### (b) Statement of Changes in Equity for the year ended 31 December 2024

$$\begin{array}{lrrrrr}
\hline
& \text{Share} & \text{Share} & \text{General} & \text{Retained} & \\
& \text{Capital} & \text{Premium} & \text{Reserve} & \text{Earnings} & \text{Total} \\
& \$ & \$ & \$ & \$ & \$ \\
\hline
\text{Balance at 1 January 2024} & 200\,000 & 30\,000 & 25\,000 & 92\,500 & 347\,500 \\
\text{Profit for the year} & - & - & - & 149\,100 & 149\,100 \\
\text{Bonus issue } (\text{W3}) & 50\,000 & (30\,000) & (20\,000) & - & - \\
\text{Transfer to general reserve} & - & - & 10\,000 & (10\,000) & - \\
\hline
\textbf{Balance at 31 December 2024} & \mathbf{250\,000} & \mathbf{0} & \mathbf{15\,000} & \mathbf{231\,600} & \mathbf{496\,600} \\
\hline
\end{array}$$

Note on proposed dividend: In accordance with IAS 10, the proposed dividend of $0.02 per share ($500\,000 \text{ shares} \times $0.02 = $10\,000$) is not recognised as a liability or deducted from equity at the year-end because it was not approved before the reporting date.

**W3: Bonus issue**
- Number of shares before bonus $= $200\,000 / $0.50 = 400\,000\text{ shares}$.
- Bonus issue $= 400\,000 / 4 = 100\,000\text{ shares} \times $0.50 = $50\,000$.
- Funded by Share premium $($30\,000)$ and General reserve $($20\,000)$.

---

### (c) Differences between Capital and Revenue Reserves
1. **Origin/Creation:** Capital reserves arise from non-trading/capital transactions (e.g. share premium or upward revaluation of non-current assets), whereas revenue reserves arise from undistributed realised trading profits from operations.
2. **Distributability:** Capital reserves cannot be distributed as cash dividends to shareholders (non-distributable), whereas revenue reserves can be distributed as dividends (distributable).

---

### (d) Evaluation and Advice

**Option 1: Rights Issue ($200\,000 \text{ shares} \times $0.60 = $120\,000$)**
- *Advantages:*
- No mandatory annual interest payments or scheduled principal repayments, protecting cash flow.
- Reduces gearing and financial risk, improving solvency.
- Does not require any asset security/collateral.
- *Disadvantages:*
- May dilute voting rights if existing shareholders do not take up their rights.
- Increases total number of shares, which may dilute future Earnings Per Share (EPS).

**Option 2: Issue $120\,000 of 7% Debentures**
- Advantages:
- Debenture interest ($8\,400 per annum) is tax-deductible, lowering net financing cost.
- Existing shareholders retain full voting control and equity ownership.
- Debenture holders do not share in future profits/dividends.
- *Disadvantages:*
- Commits the company to mandatory interest payments of $8\,400 p.a. regardless of profitability.
- Increases financial gearing, elevating bankruptcy risk in economic downturns.
- May require a fixed or floating charge over company assets.

Recommendation:
Given Vandell Ltd's strong profitability (Profit for the year of $149\,100) and healthy cash flow, issuing debentures (Option 2) avoids dilution of ownership. However, if the directors prioritise financial stability and low gearing, the rights issue (Option 1) is preferable. (A clear, justified decision must be provided.)

### (a) Statement of Profit or Loss [11 marks]
- Revenue: $732 000 [1]
- Opening inventory + purchases + carriage inwards ($54\,000 + 385\,000 + 4\,500$) [1]
- Plant & machinery depreciation: $19 200 [1]
- Closing inventory: $59 000 ($61\,200 - 2\,200$) [1]
- Gross profit: $328 300 [1 OF]
- Administrative expenses: $101 600 [2] (1 mark for basic expenses with prepayment/accrual, 1 mark for bad debts/allowance adjustment + buildings depreciation)
- Distribution costs: $72 800 ($62\,100 + 6\,200 + 4\,500$) [1]
- Profit from operations: $153 900 [1 OF]
- Finance costs: $4 800 [1]
- Profit for the year: $149 100 [1 OF]

### (b) Statement of Changes in Equity [7 marks]
- Opening balances correct across all columns [1]
- Profit for the year in retained earnings: $149 100 [1 OF]
- Bonus issue: $50 000 in share capital [1], ($30 000) in share premium [1], ($20 000) in general reserve [1]
- Transfer to general reserve: +$10 000 general reserve, ($10 000) retained earnings [1]
- Closing balances correct: Share Capital $250 000, Share Premium $0, General Reserve $15 000, Retained Earnings $231 600, Total $496 600 [1 OF]
(Note: deduct 1 mark if proposed dividend is deducted in SOCE)

### (c) Differences [4 marks]
- 2 marks per fully explained difference (1 mark for brief/partial explanation) up to max 4 marks:
- Capital reserves from capital transactions / non-trading vs Revenue reserves from trading profit [2]
- Capital reserves cannot be distributed as dividends vs Revenue reserves are distributable [2]

### (d) Advice / Evaluation [8 marks]
- Arguments for/against Option 1 (Rights issue) [max 3 marks]
- Arguments for/against Option 2 (Debentures) [max 3 marks]
- Justified recommendation / decision [2 marks]

(a) Reasons for preparing a bank reconciliation statement regularly:

1. To identify errors: It assists in identifying errors made either in the business's own cash book (e.g. transposition errors, omitted entries) or by the bank (e.g. incorrect postings, wrong amounts).
2. To detect and deter fraud: Regular reconciliation reduces the likelihood of fraud, misappropriation of funds, or unauthorised payments going unnoticed.
3. To ascertain the correct bank balance: It ensures that the true and up-to-date cash and bank balance is reported in the statement of financial position for accurate financial reporting.
4. To identify timing differences: It identifies unpresented cheques and uncredited deposits so management knows the true available liquidity position.

(Accept any two valid reasons with explanation, 2 marks each)

---

(b) Updated Cash Book (Bank columns only):

$$\begin{array}{llr|llr}
\textbf{Date} & \textbf{Details} & \textbf{\$} & \textbf{Date} & \textbf{Details} & \textbf{\$} \hline
2025 & & & 2025 & & \\
\text{Apr 30} & \text{Balance b/d} & 3\,410 & \text{Apr 30} & \text{Insurance (standing order)} & 260 \\
\text{Apr 30} & \text{Dividends} & 380 & \text{Apr 30} & \text{Electricity (direct debit)} & 145 \\
\text{Apr 30} & \text{H. Patel (credit transfer)} & 530 & \text{Apr 30} & \text{Bank charges} & 75 \\
\text{Apr 30} & \text{S. Khan (correction of error)} & 90 & \text{Apr 30} & \text{D. Miller (dishonoured cheque)} & 180 \\
& & & \text{Apr 30} & \text{Balance c/d} & 3\,750 \\
\hline
& & 4\,410 & & & 4\,410 \\
\hline
2025 & & & & & \\
\text{May 1} & \text{Balance b/d} & 3\,750 & & & \\
\end{array}$$

Note on S. Khan error: Cash book payment was overstated by $540 - $450 = $90, so the cash book is debited by $90 to correct the overpayment entry.

---

(c) Bank Reconciliation Statement as at 30 April 2025:

$$\begin{array}{lrr}
\textbf{Bank Reconciliation Statement as at 30 April 2025} & \textbf{\$} & \textbf{\$} \\
\hline
\text{Balance as per bank statement (Credit)} & & 4\,520 \\
\text{Add: Uncredited deposits} & & 1\,120 \\
\hline
& & 5\,640 \\
\text{Less: Unpresented cheques} & & (1\,890) \\
\hline
\textbf{Balance as per updated cash book} & & \mathbf{3\,750} \\
\hline
\end{array}$$

Alternative format starting with updated cash book balance:
$$\begin{array}{lrr}
\text{Balance as per updated cash book} & & 3\,750 \\
\text{Add: Unpresented cheques} & & 1\,890 \\
\hline
& & 5\,640 \\
\text{Less: Uncredited deposits} & & (1\,120) \\
\hline
\textbf{Balance as per bank statement} & & \mathbf{4\,520} \\
\hline
\end{array}$$

(a) [Max 4 marks]
- 1 mark for identifying each valid reason (max 2 reasons).
- 1 mark for each development/explanation.
- Reasons include: error detection, fraud prevention/detection, determining true bank balance for financial statements, tracking timing differences/liquidity management.

(b) [6 marks]
- 1 mark: Opening balance $3 410 on debit side.
- 1 mark: Dividends $380 and H. Patel $530 on debit side.
- 1 mark: Correction of error (S. Khan) $90 on debit side.
- 1 mark: Insurance $260 and Electricity $145 on credit side.
- 1 mark: Bank charges $75 and D. Miller (dishonoured cheque) $180 on credit side.
- 1 mark: Correct closing balance $3 750 (c/d on credit and b/d on debit on 1 May 2025) (OF applies if arithmetically derived from candidate's entries).

**(c) [5 marks]**
- 1 mark: Correct starting figure ($4 520 bank statement balance / $3 750 cash book balance).
- 1 mark: Uncredited deposits $1 120 (correct treatment).
- 1 mark: Unpresented cheques $1 890 (correct treatment).
- 1 mark: Correct ending balance ($3 750 / $4 520) matching updated cash book (OF applies).
- 1 mark: Clear headings, correct layout, and labels.

(a) General Journal

| Item | Details | Debit ($) | Credit ($) |
|---|---|---|---|
| 1 | Suspense | 420 | |
| | Sales returns | | 420 |
| 2 | Office equipment repairs | 1 750 | |
| | Office equipment | | 1 750 |
| | Accumulated depreciation: Office equipment | 350 | |
| | Depreciation expense / Income statement | | 350 |
| 3 | Trade receivables / Jamal | 180 | |
| | Suspense | | 180 |
| 4 | Insurance | 360 | |
| | Suspense | | 360 |
| 5 | Sales | 900 | |
| | Purchases | | 900 |

Note on depreciation: \(20\% \times \$1\,750 = \$350\).

---

(b) Suspense Account

| Date | Details | $ | Date | Details | $ |
|---|---|---|---|---|---|
| 2025 Dec 31 | Difference per trial balance (bal. fig.) | 120 | 2025 Dec 31 | Trade receivables (Jamal) | 180 |
| Dec 31 | Sales returns | 420 | Dec 31 | Insurance | 360 |
| | Total | 540 | | Total | 540 |

---

(c) Statement of Corrected Profit for the year ended 31 December 2025

| Details | $ | $ |
|---|---|---|
| Draft profit for the year | | 48 600 |
| Add: | | |
| Error 1: Overcast of sales returns | 420 | |
| Error 2: Overcharge of depreciation | 350 | 770 |
| | | 49 370 |
| Less: | | |
| Error 2: Unrecorded office repairs | (1 750) | |
| Error 4: Understatement of insurance expense | (360) | (2 110) |
| Error 5: Goods taken for drawings (no effect: \(-\$900 + \$900\)) | 0 | |
| Corrected profit for the year | | 47 260 |

(a) Journal entries [6 marks]:
- 1 mark: Dr Suspense $420, Cr Sales returns $420
- 1 mark: Dr Repairs $1 750, Cr Office equipment $1 750
- 1 mark: Dr Accumulated depreciation $350, Cr Depreciation / Income statement $350
- 1 mark: Dr Trade receivables (Jamal) $180, Cr Suspense $180
- 1 mark: Dr Insurance $360, Cr Suspense $360
- 1 mark: Dr Sales $900, Cr Purchases $900

(b) Suspense account [4 marks]:
- 1 mark: Opening balance / difference on debit side $120 (balancing figure)
- 1 mark: Sales returns $420 on debit side
- 1 mark: Trade receivables / Jamal $180 on credit side
- 1 mark: Insurance $360 on credit side

(c) Statement of corrected profit [5 marks]:
- 1 mark: +$420 for sales returns overcast
- 1 mark: -$1 750 for repairs expense
- 1 mark: +$350 for depreciation adjustment
- 1 mark: -$360 for insurance expense adjustment
- 1 mark (OF): Correct final profit $47 260 (own figure dependent on prior adjustments)

(a)
* Definition: A limiting factor (or key factor) is any resource or operational constraint that prevents an organisation from expanding its activities or output beyond a certain level. (1 mark)
* Examples (any two):
* Shortage of raw materials (1 mark)
* Machine capacity / machine hours availability (1 mark)
* Sales demand / market demand limit (1 mark)
* Storage / warehouse space (1 mark)
* Working capital / cash availability (1 mark)
(Max 2 marks for examples)

(b)(i) Calculation of Contribution per Unit and per Direct Labour Hour:

* Direct labour hours per unit:
* Model X: $\frac{$20}{$10} = 2\text{ hours}$
* Model Y: $\frac{$40}{$10} = 4\text{ hours}$
* Model Z: $\frac{$30}{$10} = 3\text{ hours}$

* Variable cost per unit:
* Model X: $$20 + \$20 + \$15 = \$55\$
* Model Y: $$24 + $40 + $16 = $80$
* Model Z: $$32 + \$30 + \$18 = \$80\$

* **Unit contribution:**
* Model X: $$85 - $55 = $30$ (1 mark)
* Model Y: $$120 - \$80 = \$40\$ (1 mark)
* Model Z: $$150 - $80 = $70$ (1 mark)

* **Contribution per direct labour hour & Ranking:**
* Model X: $\frac{$30}{2\text{ hrs}} = $15.00\text{ per hour}$ (Rank 2)
* Model Y: $\frac{$40}{4\text{ hrs}} = $10.00\text{ per hour}$ (Rank 3)
* Model Z: $\frac{$70}{3\text{ hrs}} = $23.33\text{ per hour}$ (Rank 1) (1 mark for all three correct rates and ranking)

**(b)(ii) Optimal Production Schedule and Total Maximum Profit:**

* Total hours required: $(1\,200 \times 2) + (1\,500 \times 4) + (800 \times 3) = 2\,400 + 6\,000 + 2\,400 = 10\,800\text{ hours}$.
* Available hours = $7\,200\text{ hours}$.

* **Allocation of hours according to ranking:**
1. **Model Z (Rank 1):** $800\text{ units} \times 3\text{ hrs} = 2\,400\text{ hours}$ (1 mark)
* Remaining hours: $7\,200 - 2\,400 = 4\,800\text{ hours}$
2. **Model X (Rank 2):** $1\,200\text{ units} \times 2\text{ hrs} = 2\,400\text{ hours}$ (1 mark)
* Remaining hours: $4\,800 - 2\,400 = 2\,400\text{ hours}$
3. **Model Y (Rank 3):** $\frac{2\,400\text{ hrs}}{4\text{ hrs/unit}} = 600\text{ units}$ (1 mark)

* **Total Maximum Profit:**
$$\begin{array}{lrr}
\text{Model Z: } 800\text{ units} \times \$70 & = & \$56\,000 \\
\text{Model X: } 1\,200\text{ units} \times \$30 & = & \$36\,000 \\
\text{Model Y: } 600\text{ units} \times \$40 & = & \$24\,000 \\
\hline
\text{Total Contribution} & = & \$116\,000 \text{ (1 mark)} \\
\text{Less: Fixed costs} & = & (\$75\,000) \text{ (1 mark)} \\
\hline
\textbf{Maximum Profit} & = & \mathbf{\$41\,000} \text{ (1 mark OF)} \\
\hline
\end{array}$$

**(c)(i) Financial Effect of Subcontracting 900 units of Model Y:**
* Unmet demand for Model Y = $1\,500 - 600 = 900\text{ units}$.
* Revenue per bought-in unit = $$120\$
* Purchase cost per unit = $$95$
* Contribution per bought-in unit = $$120 - \$95 = \$25\$ (2 marks)
* Total additional contribution = \$900\text{ units} \times \$25 = \$22\,500\$ (1 mark)
* Fixed costs remain unchanged, so **monthly profit increases by $$22\,500$** (from $$41\,000\$ to $$63\,500$). (1 mark)

**(c)(ii) Maximum Price per Unit Vancefield Ltd is Willing to Pay:**
* To avoid making a loss on subcontracted units, the purchase price must not exceed the selling price.
* Maximum price = Selling price per unit = **$120** (3 marks)
*(Alternative acceptable explanation: at any price up to $$120\$, the contribution is non-negative).*

**(d)(i) Break-even point for Model X:**
$$\text{Break-even point in units} = \frac{\text{Fixed Costs}}{\text{Contribution per unit}} = \frac{\$24\,000}{\$30} = 800\text{ units} \text{ (2 marks)}$$

**(d)(ii) Margin of Safety for Model X:**
* \$\text{Margin of safety in units} = \text{Budgeted sales} - \text{Break-even sales} = 1\,200 - 800 = 400\text{ units}\$ (1 mark)
* \$\text{Margin of safety (\%)} = \frac{400}{1\,200} \times 100 = 33.33\%\$ (2 marks)

**(e) Advice and Evaluation:**

* **Arguments for accepting the offer (Financial & Non-financial):**
* Increases total monthly profit by $$22\,500$ ($900 \times $25$).
* Allows the company to satisfy 100% of customer demand (1 500 units), protecting customer goodwill and market reputation.
* Prevents customers from switching to competitors to source control panels.

* Arguments against accepting the offer (Risks & Non-financial):
* Quality control risks: the external supplier's products may not meet Vancefield Ltd's quality standards, risking warranty claims or damage to reputation.
* Delivery reliability: potential delays could disrupt deliveries to customers.
* Loss of competitive edge or confidential product knowledge/designs to a third party.
* Risk of price increases by the supplier once Vancefield Ltd becomes reliant on them.

* Recommendation:
* A clear, justified conclusion advising either acceptance or rejection (e.g. Accept provided quality inspections and strict service level agreements are established). (1 mark)

Part (a): [3 marks]
- 1 mark for correct definition of limiting factor.
- 1 mark each for two valid examples (max 2).

Part (b)(i): [4 marks]
- 1 mark each for correct contribution per unit of Model X ($30), Model Y ($40), Model Z ($70) [3 marks].
- 1 mark for calculating contribution per DL hour ($15.00, $10.00, $23.33) and correct ranking (Z = 1st, X = 2nd, Y = 3rd) [1 mark].

Part (b)(ii): [6 marks]
- 1 mark for Model Z = 800 units (2 400 hrs).
- 1 mark for Model X = 1 200 units (2 400 hrs).
- 1 mark for Model Y = 600 units (2 400 hrs).
- 1 mark for total contribution = $116 000 (OF).
- 1 mark for deducting fixed overheads = $75 000.
- 1 mark for net profit = $41 000 (OF).

**Part (c)(i): [4 marks]**
- 2 marks for unit contribution of bought-in units ($120 - $95 = $25).
- 1 mark for calculation of total additional contribution ($22 500).
- 1 mark for stating that profit increases by $22 500 (or new profit is $63 500).

**Part (c)(ii): [3 marks]**
- 3 marks for stating $120 (full marks for correct answer with reasoning that contribution = $0 at $120; 1 mark for showing comparison with internal variable cost of $80).

Part (d)(i): [2 marks]
- 1 mark for method: Fixed cost / Unit contribution.
- 1 mark for correct answer: 800 units.

Part (d)(ii): [3 marks]
- 1 mark for margin of safety in units: 400 units.
- 2 marks for percentage: 33.33% (1 mark for method (400/1200)*100, 1 mark for 33.33%).

Part (e): [5 marks]
- Max 2 marks for valid points in favour of subcontracting.
- Max 2 marks for valid points against / risks of subcontracting.
- 1 mark for a clear, justified recommendation based on arguments presented.

### (a) Reasons for adding factory profit
1. To evaluate the factory as an independent profit centre and assess managerial performance.
2. To compare the internal cost of manufacturing with the market price of purchasing finished goods from external suppliers.
3. To ensure that the manufacturing department is credited for value added rather than showing profit solely in the retail/trading division.

(Any 2 valid points)

---

### (b) Manufacturing Account

$$\begin{array}{lrr}
\multicolumn{3}{c}{\textbf{VeloCraft Ltd}} \\
\multicolumn{3}{c}{\textbf{Manufacturing Account for the year ended 31 December 2025}} \\
\hline
& \$ & \$ \\
\text{Opening inventory of raw materials} & 28\,400 & \\
\text{Add: Purchases of raw materials} & 164\,200 & \\
\text{Add: Carriage inwards} & 4\,800 & \\
\hline
& 197\,400 & \\
\text{Less: Closing inventory of raw materials} & (31\,600) & \\
\hline
\textbf{Cost of raw materials consumed} & & 165\,800 \\
\text{Direct factory wages } (132\,500 + 5\,500) & & 138\,000 \\
\hline
\textbf{Prime Cost} & & \mathbf{303\,800} \\
\hline
\textbf{Factory Overheads:} & & \\
\quad \text{Indirect factory wages} & 41\,300 & \\
\quad \text{Factory power and lighting} & 24\,600 & \\
\quad \text{Factory insurance } (16\,000 - 2\,000) & 14\,000 & \\
\quad \text{Depreciation: plant and machinery } [20\% \times (220\,000 - 80\,000)] & 28\,000 & 107\,900 \\
\hline
& & 411\,700 \\
\text{Add: Opening work in progress} & & 19\,600 \\
\text{Less: Closing work in progress} & & (22\,400) \\
\hline
\textbf{Cost of production} & & \mathbf{408\,900} \\
\text{Factory profit } (15\% \times 408\,900) & & 61\,335 \\
\hline
\textbf{Transfer value of finished goods} & & \mathbf{470\,235} \\
\hline
\end{array}$$

---

### (c) Statement of Profit or Loss

Workings for Provision for Unrealised Profit (PUP):
* Opening PUP in finished goods: $$57\,500 \times \frac{15}{115} = \$7\,500\$
* Closing PUP in finished goods: $$69\,000 \times \frac{15}{115} = $9\,000$
* Increase in provision for unrealised profit: $$9\,000 - \$7\,500 = \$1\,500\$

$$\begin{array}{lrr}
\multicolumn{3}{c}{\textbf{VeloCraft Ltd}} \\
\multicolumn{3}{c}{\textbf{Statement of Profit or Loss for the year ended 31 December 2025}} \\
\hline
& \$ & \$ \\
\text{Revenue} & & 620\,000 \\
\textbf{Cost of Sales:} & & \\
\quad \text{Opening inventory of finished goods} & 57\,500 & \\
\quad \text{Transfer value of finished goods from factory} & 470\,235 & \\
\hline
& 527\,735 & \\
\quad \text{Less: Closing inventory of finished goods} & (69\,000) & (458\,735) \\
\hline
\textbf{Gross Profit on trading} & & \mathbf{161\,265} \\
\text{Add: Factory profit} & 61\,335 & \\
\text{Less: Increase in provision for unrealised profit} & (1\,500) & 59\,835 \\
\hline
\textbf{Total Profit} & & \mathbf{221\,100} \\
\textbf{Expenses:} & & \\
\quad \text{General administrative expenses} & 74\,200 & \\
\quad \text{Distribution and selling costs} & 53\,800 & \\
\quad \text{Depreciation of office equipment } (10\% \times 60\,000) & 6\,000 & (134\,000) \\
\hline
\textbf{Profit for the year} & & \mathbf{87\,100} \\
\hline
\end{array}$$

---

### **(d) Evaluation and Advice**

**Financial Analysis:**
* Internal cost of production of current output = $$408\,900$ (excluding factory profit, which is an internal transfer).
* Relevant cost of continuing production (avoidable costs):
* Prime costs + indirect cash overheads = $$408\,900 - \$28\,000\text{ (unavoidable depreciation)} = \$380\,900\$.
* Total cost if buying externally:
* Purchase price from supplier: $$420\,000$
* Additional administrative/handling costs: $$8\,000\$
* Continuing unavoidable depreciation: $$28\,000$
* Total cost to business: $$456\,000\$
* Net financial disadvantage of buying externally = $$456\,000 - $408\,900 = $47\,100$ increase in annual total costs.

**Non-Financial / Strategic Considerations:**
* **Quality & Reliability:** VeloCraft Ltd loses direct quality control over helmet manufacturing; defective helmets could damage brand reputation and safety certification.
* **Supplier Dependence:** Reliance on an external supplier creates delivery lead-time risks and potential future price increases.
* **Labour & Redundancies:** Closing the factory requires dismissing factory workers, leading to redundancy payouts, staff demotivation, and loss of skilled technical expertise.
* **Factory Space:** The vacated factory could potentially be rented out or used for other lucrative projects (opportunity cost).

**Advice:**
The directors should **not** close the factory. Continuing internal manufacturing saves $$47\,100$ per year and ensures stringent quality control over safety-critical cycling products.

(a) Reasons for factory profit [Max 2 marks]
* 1 mark for each valid point (max 2):
* To treat the factory as a separate profit centre / measure manufacturing efficiency.
* To compare internal manufacturing cost with the external market purchase price.
* To show realistic profit earned by the production division.

(b) Manufacturing Account [10 marks]
* Cost of raw materials consumed ($\{$Opening $$28\,400\$ + Purchases $$164\,200$ + Carriage $$4\,800\$ - Closing $$31\,600$\}$ = $165\,800$) [2]
* Direct factory wages ($\{$132\,500 + 5\,500\}$ = $$138\,000\$) [1]
* Prime cost ($$303\,800$) [1 OF]
* Factory overheads:
* Indirect wages ($$41\,300\$) + Power & lighting ($$24\,600$) [1 for both]
* Factory insurance ($\{$16\,000 - 2\,000\}$ = $$14\,000\$) [1]
* Depreciation of plant & machinery (\$20\% \times 140\,000 = \$28\,000\$) [1]
* WIP adjustment (\$\{\$+19\,600 - 22\,400\}\$) and Cost of Production ($$408\,900$) [1 OF]
* Factory profit calculation ($15\% \times 408\,900 = $61\,335$) [1 OF]
* Transfer value of finished goods ($$470\,235\$) [1 OF]

**(c) Statement of Profit or Loss [8 marks]**
* Revenue ($$620\,000$) [1]
* Cost of sales ($\{$Opening FG $$57\,500\$ + Transfer $$470\,235$ - Closing FG $$69\,000\$\}\$ = $$458\,735$) [2 or 1 for partial]
* Gross profit on trading ($$161\,265\$) [1 OF]
* Factory profit adjustment (Factory profit $$61\,335$ less increase in PUP $$1\,500\$ = $$59\,835$) [2] *(1 mark for factory profit, 1 mark for correct PUP adjustment)*
* Administrative and distribution expenses ($\{$74\,200 + 53\,800 + 6\,000\}$ = $$134\,000\$) [1]
* Profit for the year ($$87\,100$) [1 OF]

**(d) Evaluation and Advice [5 marks]**
* Up to 2 marks for financial calculations / cost comparison (e.g. buying cost $$420\,000 + \$8\,000 = \$428\,000\$ vs avoidable manufacturing cost $$380\,900$, representing an extra cost of $$47\,100$). [2]
* Up to 2 marks for relevant non-financial / qualitative factors (e.g. product safety/quality control, supplier reliance, redundancy costs/reputation). [2]
* 1 mark for clear, justified recommendation based on arguments presented. [1]

### (a) Ratio Calculations for 2025

(i) Return on capital employed (ROCE)
$$\text{Capital Employed} = \text{Total Equity} + \text{Non-current Liabilities} = \$1\,020\,000 + \$300\,000 = \$1\,320\,000$$
$$\text{ROCE} = \frac{\text{Profit from operations}}{\text{Capital employed}} \times 100 = \frac{\$270\,000}{\$1\,320\,000} \times 100 = \mathbf{20.45\%}$$

(ii) Net working assets to revenue (%)
$$\text{Net Working Assets} = \text{Inventories} + \text{Trade Receivables} - \text{Trade Payables}$$
$$\text{Net Working Assets} = \$140\,000 + \$160\,000 - \$110\,000 = \$190\,000$$
$$\text{Net working assets to revenue} = \frac{\$190\,000}{\$1\,800\,000} \times 100 = \mathbf{10.56\%}$$

(iii) Interest cover
$$\text{Interest Cover} = \frac{\text{Profit from operations}}{\text{Finance costs}} = \frac{\$270\,000}{\$30\,000} = \mathbf{9.00\text{ times}}$$

(iv) Gearing ratio (%)
$$\text{Gearing} = \frac{\text{Non-current liabilities}}{\text{Capital employed}} \times 100 = \frac{\$300\,000}{\$1\,320\,000} \times 100 = \mathbf{22.73\%}$$

(v) Price/earnings (P/E) ratio
$$\text{Number of ordinary shares} = \frac{\$600\,000}{\$1.00} = 600\,000\text{ shares}$$
$$\text{EPS} = \frac{\text{Profit for the year}}{\text{Number of issued ordinary shares}} = \frac{\$192\,000}{600\,000} = \$0.32$$
$$\text{P/E Ratio} = \frac{\text{Market price per share}}{\text{EPS}} = \frac{\$3.20}{\$0.32} = \mathbf{10.00}$$

(vi) Dividend cover
$$\text{Annual ordinary dividend} = \$36\,000 + \$24\,000 = \$60\,000$$
$$\text{Dividend Cover} = \frac{\text{Profit for the year}}{\text{Annual ordinary dividend}} = \frac{\$192\,000}{\$60\,000} = \mathbf{3.20\text{ times}}$$

---

### (b) Limitations of Ratio Analysis for Inter-company Comparisons

1. Differences in Accounting Policies: Two businesses may adopt different but permissible accounting policies (e.g. straight-line vs reducing balance depreciation, FIFO vs AVCO inventory valuation, cost model vs revaluation model for property). These differences alter asset values, costs, and reported profits without reflecting genuine operational performance differences.
2. Historical Cost and Price Level Changes: Assets acquired at different dates under historical cost accounting will show different carrying values and depreciation charges due to inflation. Older firms appear to have higher ROCE simply because asset book values are artificially low.
3. Different Year-end Dates / Seasonality: If companies operate on different financial year-ends, seasonal peaks and troughs in working capital balances (inventories, receivables, cash) distort liquidity and efficiency comparisons.

---

### (c) Evaluation of Financing Options and Recommendation

**Option 1: Issue $400 000 8% Debentures**
* *Advantages for existing shareholders:*
- No dilution of voting power or control since debenture holders have no voting rights.
- Interest payable ($32 000 per year) is tax-deductible, reducing the net cost of borrowing.
- If the new machinery yields a return higher than 8%, the surplus profit directly enhances earnings per share (favourable financial leverage).
* Disadvantages for existing shareholders:
- Fixed annual interest commitment of $32 000 must be met regardless of profit levels, increasing overall financial risk.
- Non-current liabilities increase to $700 000, raising gearing to \( \frac{\$700\,000}{\$1\,720\,000} \times 100 = 40.70\% \), which significantly increases financial risk and may deter future investors.
- Interest cover will fall substantially from 9.00 times, heightening default risk during downturns.
- Debentures usually require collateral/charge on non-current assets.

**Option 2: Issue 200 000 Ordinary Shares at $2.00 each**
* *Advantages for existing shareholders:*
- No fixed annual cash drain or mandatory interest payments; dividends are discretionary.
- Financial risk is reduced as equity base expands (share capital +$200 000, share premium +$200 000), lowering gearing to \( \frac{\$300\,000}{\$1\,720\,000} \times 100 = 17.44\% \).
- Strengthens the statement of financial position and enhances future borrowing capacity.
- No security/charge required over company assets.
* *Disadvantages for existing shareholders:*
- If shares are issued to external parties, existing shareholders' voting rights and control are diluted (shares increase from 600 000 to 800 000, a 25% dilution).
- Dividends are not tax-deductible.
- Future earnings per share (EPS) may be diluted if the incremental profit generated by the new machinery does not match existing earnings per share.

**Decision / Recommendation:**
Kelson plc currently has a relatively low gearing level of 22.73% and a healthy interest cover of 9.00 times. However, if the directors wish to avoid the dilution of ownership and control, Option 1 (debentures) is recommended, provided projected operating profit from the automation covers the extra $32 000 interest charge comfortably. Alternatively, if risk minimisation is paramount or if the shares can be offered via a rights issue to prevent control dilution, Option 2 is preferable.

(a) Calculations (10 marks total)
* (i) ROCE [2 marks]:
- 1 mark for correct formula / working: \( 270\,000 / (1\,020\,000 + 300\,000) \times 100 \)
- 1 mark for correct answer: 20.45% (accept 20.5%)
* (ii) Net working assets to revenue [2 marks]:
- 1 mark for correct net working assets: \( 140\,000 + 160\,000 - 110\,000 = 190\,000 \)
- 1 mark for correct ratio: 10.56% (accept 10.6%)
* (iii) Interest cover [1 mark]:
- 1 mark for \( 270\,000 / 30\,000 = \mathbf{9.00\text{ times}} \) (or 9 times)
* (iv) Gearing ratio [2 marks]:
- 1 mark for working: \( 300\,000 / 1\,320\,000 \times 100 \)
- 1 mark for correct answer: 22.73% (accept 22.7%)
* (v) P/E ratio [2 marks]:
- 1 mark for EPS = \( \$192\,000 / 600\,000 = \$0.32 \)
- 1 mark for P/E = \( \$3.20 / 0.32 = \mathbf{10.00} \) (or 10 times)
* (vi) Dividend cover [1 mark]:
- 1 mark for \( \$192\,000 / \$60\,000 = \mathbf{3.20\text{ times}} \)

(Note: Apply Own Figure (OF) throughout part (a) where applicable.)

---

(b) Limitations of Ratio Analysis (4 marks)
* Award 1 mark for identifying a valid limitation and 1 mark for development/explanation (max 2 marks per limitation, max 2 limitations):
- Differences in accounting policies (e.g. depreciation, inventory valuation methods) make comparative figures misleading [1] as differences reflect accounting choices rather than operational performance [1].
- Historical cost accounting / inflation distortions [1]: assets bought at different times have uncomparable carrying amounts [1].
- Different year-end dates / seasonal variations [1]: snapshot of current assets/liabilities varies significantly across seasonal cycles [1].
- Different business structures, scale, or product mix [1]: prevents direct like-for-like comparison [1].

---

(c) Evaluation and Recommendation (11 marks)
* Option 1 (Debentures) (max 5 marks):
- 1 mark per valid point (positive/negative), e.g.:
- No dilution of voting control/ownership for existing shareholders [1]
- Debenture interest is tax deductible / lowers cost of capital [1]
- Increases financial risk / fixed interest commitment of $32 000 p.a. must be paid [1]
- Gearing rises to 40.70% / interest cover falls [1]
- May require fixed/floating charge over non-current assets [1]
* Option 2 (Ordinary shares) (max 5 marks):
- 1 mark per valid point (positive/negative), e.g.:
- No mandatory interest burden / dividends are discretionary [1]
- Gearing drops to 17.44% / reduces overall financial risk [1]
- Improves statement of financial position strength / borrowing capacity [1]
- Dilution of ownership and voting control for existing shareholders (if issued externally) [1]
- Risk of EPS dilution / dividends are not tax-deductible [1]
* Recommendation [1 mark]:
- 1 mark for clear, justified advice based on candidate's analysis.

(a) Explanations under International Accounting Standards

(i) IAS 36 Impairment of Assets (Specialised Plant):
- Under IAS 36, an asset is impaired if its carrying amount exceeds its recoverable amount.
- The recoverable amount is defined as the higher of fair value less costs of disposal ($58 000) and value in use ($62 000). Therefore, the recoverable amount is $62 000.
- The carrying amount ($75 000) exceeds the recoverable amount ($62 000) by $13 000.
- An impairment loss of $13 000 must be recognised as an expense in the statement of profit or loss, and the carrying amount of plant reduced to $62 000 in the statement of financial position.

(ii) IAS 37 Provisions, Contingent Liabilities and Contingent Assets (Legal Claim):
- Under IAS 37, a provision must be recognised when: (1) an entity has a present legal/constructive obligation as a result of a past event; (2) it is probable (more likely than not, >50%) that an outflow of economic resources will be required; and (3) a reliable estimate can be made.
- The past event is the alleged breach/employment dispute in November 2025.
- The outflow is probable (80% probability) and reliably measurable at $40 000.
- Therefore, a provision of $40 000 must be recognised as an operating expense in profit or loss and presented as a liability (provision) in the statement of financial position.

---

(b) Statement of revised profit for the year ended 31 December 2025

$$\begin{array}{lrr}
\text{Draft profit for the year} & & 184\,000 \\
\text{Less: Impairment loss on plant } (\$75\,000 - \$62\,000) & (13\,000) & \\
\text{Less: Research expenditure expensed (IAS 38)} & (15\,000) & \\
\text{Less: Amortisation of development costs } (\$30\,000 / 5 \times 6/12) & (3\,000) & \\
\text{Less: Provision for legal claim (IAS 37)} & (40\,000) & \\
\text{Less: Irrecoverable debt / bankruptcy (IAS 10)} & (22\,000) & (93\,000) \\
\hline
\textbf{Revised profit for the year} & & \mathbf{91\,000} \\
\hline
\end{array}$$

---

(c) Extract from Statement of Financial Position as at 31 December 2025

$$\begin{array}{lrr}
\textbf{Non-current assets} & \$ & \$ \\
\text{Property, plant and equipment } (\$520\,000 + \$62\,000) & 582\,000 & \\
\text{Intangible assets (development costs) } (\$30\,000 - \$3\,000) & 27\,000 & \\
\hline
\textbf{Total non-current assets} & & \mathbf{609\,000} \\
\hline
\\
\textbf{Current liabilities} & & \\
\text{Trade and other payables} & 115\,000 & \\
\text{Provision for legal claim} & 40\,000 & \\
\hline
\textbf{Total current liabilities} & & \mathbf{155\,000} \\
\hline
\end{array}$$

---

(d) Evaluation and advice on Proposed Dividend (IAS 10)

- Analysis of IAS 10 rules: Under IAS 10 Events after the Reporting Period, dividends declared/proposed after the reporting period do not meet the definition of a present obligation at the reporting date (31 December 2025).
- Nature of event: The proposal of a dividend after the reporting date is a non-adjusting event.
- Accounting treatment: It cannot be recognised as a liability or deducted from retained earnings in the financial statements for the year ended 31 December 2025.
- Disclosure requirement: It must be disclosed in the notes to the financial statements, stating the amount of the dividend proposed.
- Advice / Conclusion: The directors' proposed treatment of recognising a $25 000 liability in the 2025 Statement of Financial Position is incorrect. They should remove the liability and disclose the proposed dividend in the notes to the accounts.

(a)(i) IAS 36 - Specialised Plant [Max 4 marks]
- 1 mark: Identifies recoverable amount as higher of fair value less costs of disposal and value in use.
- 1 mark: Calculates recoverable amount as $62 000 (higher of $58 000 and $62 000).
- 1 mark: Calculates impairment loss of $13 000 ($75 000 - $62 000).
- 1 mark: States impairment loss charged to profit or loss and reduces carrying value of asset.

(a)(ii) IAS 37 - Legal Claim [Max 4 marks]
- 1 mark: States criteria for provision (present obligation from past event, probable outflow, reliable estimate).
- 1 mark: Identifies that the obligation arose before year end (Nov 2025) and outflow is probable (80% > 50%).
- 1 mark: Identifies reliable estimate is $40 000.
- 1 mark: States provision of $40 000 must be recognised as an expense in profit or loss and as a liability/provision.

(b) Revised Profit Statement [8 marks]
- 1 mark: Starting draft profit $184 000.
- 1 mark: Deduct impairment loss $13 000 [1 OF].
- 1 mark: Deduct research costs $15 000 (IAS 38).
- 2 marks: Deduct amortisation $3 000 [1 mark for formula $30 000 / 5, 1 mark for 6/12 pro-rata].
- 1 mark: Deduct legal claim provision $40 000 (IAS 37).
- 1 mark: Deduct irrecoverable debt $22 000 (IAS 10 adjusting event).
- 1 mark: Correct final revised profit $91 000 [OF].

(c) Statement of Financial Position Extract [4 marks]
- 1 mark: Property, plant and equipment = $582 000 ($520 000 + $62 000 OF).
- 1 mark: Intangible assets = $27 000 ($30 000 - $3 000 OF).
- 1 mark: Total non-current assets = $609 000 [OF].
- 1 mark: Current liabilities: Payables $115 000 + Provision $40 000 = $155 000.

(d) Proposed Dividend Treatment [Max 5 marks]
- 1 mark: Explains that no present obligation exists at 31 December 2025.
- 1 mark: States that dividends proposed after the reporting date are non-adjusting events under IAS 10.
- 1 mark: States that no liability can be recognised in the Statement of Financial Position.
- 1 mark: States that disclosure in the notes to the financial statements is required.
- 1 mark: Clear advice/conclusion that the directors' proposed treatment is incorrect.

(a)
- Definition of cost driver: Any factor or activity that causes a change in the cost of an activity or cost pool.
- Reason for cost distortion: Modern manufacturing involves higher overheads that are driven by complexity and diversity of operations (e.g. batches, setups, inspections) rather than direct labour volume. Using direct labour hours arbitrarily over-absorbs overheads into high-volume, standard products (Product Alpha) and under-absorbs overheads into low-volume, complex products (Product Beta), leading to cross-subsidisation.

(b) Traditional Absorption Costing

1. Total Direct Labour Hours:
- Product Alpha: \(10\,000 \text{ units} \times 2.0 \text{ hours} = 20\,000 \text{ hours}\)
- Product Beta: \(4\,000 \text{ units} \times 2.5 \text{ hours} = 10\,000 \text{ hours}\)
- Total Direct Labour Hours = \(30\,000 \text{ hours}\)

2. Overhead Absorption Rate (OAR):
\[ \text{OAR} = \frac{\$450\,000}{30\,000 \text{ hours}} = \$15.00 \text{ per direct labour hour} \]

3. Unit Cost & Selling Price:
- Product Alpha:
- Direct materials: $40.00
- Direct labour (\(2 \text{ hrs} \times \$15\)): $30.00
- Prime cost: $70.00
- Overhead absorbed (\(2 \text{ hrs} \times \$15\)): $30.00
- **Total unit cost = $100.00**
- Mark-up (25% on cost): \(\$100.00 \times 0.25 = \$25.00\)
- **Selling price = $125.00**

- **Product Beta:**
- Direct materials: $65.00
- Direct labour (\(2.5 \text{ hrs} \times \$15\)): $37.50
- Prime cost: $102.50
- Overhead absorbed (\(2.5 \text{ hrs} \times \$15\)): $37.50
- **Total unit cost = $140.00**
- Mark-up (25% on cost): \(\$140.00 \times 0.25 = \$35.00\)
- **Selling price = $175.00**

**(c) Cost Driver Rates**

1. **Machine set-ups:**
\[ \frac{\$160\,000}{80 \text{ set-ups}} = \$2\,000 \text{ per set-up} \]
2. **Quality inspections:**
\[ \frac{\$150\,000}{600 \text{ inspection hours}} = \$250 \text{ per inspection hour} \]
3. **Material handling and dispatch:**
\[ \frac{\$140\,000}{700 \text{ orders}} = \$200 \text{ per customer order} \]

**(d) Activity Based Costing (ABC)**

1. **Overhead Allocation:**
- **Product Alpha:**
- Set-ups: \(30 \times \$2\,000 = \$60\,000\)
- Quality inspection: \(200 \times \$250 = \$50\,000\)
- Material handling/dispatch: \(250 \times \$200 = \$50\,000\)
- Total overhead = \(\$160\,000\)
- Overhead per unit = \(\frac{\$160\,000}{10\,000 \text{ units}} = \$16.00\)

- Product Beta:
- Set-ups: \(50 \times \$2\,000 = \$100\,000\)
- Quality inspection: \(400 \times \$250 = \$100\,000\)
- Material handling/dispatch: \(450 \times \$200 = \$90\,000\)
- Total overhead = \(\$290\,000\)
- Overhead per unit = \(\frac{\$290\,000}{4\,000 \text{ units}} = \$72.50\)

2. Total Cost and Selling Price per Unit:
- Product Alpha:
- Prime cost: $70.00
- Overhead per unit: $16.00
- **Total unit cost = $86.00**
- Mark-up (25% on cost): \(\$86.00 \times 0.25 = \$21.50\)
- **Selling price = $107.50**

- Product Beta:
- Prime cost: $102.50
- Overhead per unit: $72.50
- **Total unit cost = $175.00**
- Mark-up (25% on cost): \(\$175.00 \times 0.25 = \$43.75\)
- **Selling price = $218.75**

(e) Evaluation and Advice
- Arguments in favour of adopting ABC:
- Under traditional absorption costing, Product Alpha was over-costed ($100 vs $86) and over-priced ($125 vs $107.50), explaining why it was uncompetitive and losing market share. Adopting ABC allows the price to be reduced to $107.50 while still achieving the target 25% margin.
- Product Beta was severely under-costed ($140 vs $175) and under-priced ($175 vs $218.75). It was consuming a disproportionate share of activities (e.g. 62.5% of setups, 66.7% of inspections) and was being cross-subsidised by Alpha, selling at a true economic loss when overheads are accurately traced.
- Improves cost control by highlighting the true drivers of overhead expenditure.

- **Arguments against / Limitations of ABC:**
- ABC is complex, time-consuming, and expensive to set up and administer.
- Increasing the price of Product Beta to $218.75 (a 25% increase) may lead to customer resistance and a significant fall in demand.
- Some overheads still require subjective allocation.

- Advice/Conclusion:
- Kestrel Dynamics Ltd should switch to ABC. The current costing system produces misleading cost information that jeopardises competitive pricing for Alpha and obscures the true costs of producing Beta. Management can lower Alpha's price to regain market share and adjust Beta's price upwards or streamline its batch/inspection activities to restore profitability.

(a) [3 marks]
- 1 mark for defining cost driver (factor/activity causing costs to change).
- 1 mark for stating that traditional absorption assumes overheads are volume/labour driven.
- 1 mark for explaining product cross-subsidisation / over-costing high volume and under-costing low volume.

(b) [6 marks]
- 1 mark for calculating total labour hours (30 000 hours).
- 1 mark for traditional OAR ($15.00 per hour).
- 1 mark for Product Alpha total unit cost ($100.00).
- 1 mark for Product Alpha selling price ($125.00).
- 1 mark for Product Beta total unit cost ($140.00).
- 1 mark for Product Beta selling price ($175.00).
*(Apply OF for arithmetic errors)*

**(c) [3 marks]**
- 1 mark for Set-up rate ($2 000 per set-up).
- 1 mark for Inspection rate ($250 per hour).
- 1 mark for Dispatch/handling rate ($200 per order).

(d) [7 marks]
- 1 mark for Product Alpha total overhead ($160 000).
- 1 mark for Product Alpha overhead per unit ($16.00).
- 1 mark for Product Alpha total cost ($86.00) and 1 mark for selling price ($107.50).
- 1 mark for Product Beta total overhead ($290 000).
- 1 mark for Product Beta overhead per unit ($72.50).
- 1 mark for Product Beta total cost ($175.00) and selling price ($218.75).
(Apply OF where appropriate)

(e) [6 marks]
- Max 2 marks for benefits of ABC in pricing decisions (identifies cross-subsidisation; Alpha was over-costed/overpriced, Beta was under-costed/underpriced).
- Max 2 marks for limitations/challenges (high implementation cost; market/customer reaction to Beta price rise; non-traceable general overheads).
- 1 mark for reference to comparative figures calculated in (b) and (d).
- 1 mark for a clear, justified final decision/recommendation.

(a) Advantages and disadvantages of the payback period method:
Advantages (any two, 1 mark each):
- Simple and quick to calculate and easy for management to understand.
- Focuses on liquidity and speed of cash recovery, which is vital for cash-constrained businesses.
- Minimises risk and uncertainty by placing greater emphasis on earlier cash receipts.

Disadvantages (any two, 1 mark each):
- Ignores the time value of money (treats cash received in Year 4 the same as cash received in Year 1).
- Completely ignores all cash flows occurring after the payback cutoff point.
- Focuses on capital recovery rather than overall project profitability.

---

(b)(i) Payback Period:
$$\begin{array}{|l|r|r|}
\hline
\text{Year} & \text{Net Cash Flow (\$)} & \text{Cumulative Cash Flow (\$)} \\
\hline
0 & (300\,000) & (300\,000) \\
1 & 100\,000 & (200\,000) \\
2 & 120\,000 & (80\,000) \\
3 & 110\,000 & 30\,000 \\
\hline
\end{array}$$

At the end of Year 2, $80 000 is still required to recover the initial investment.
$$\text{Fraction of Year 3} = \frac{\$80\,000}{\$110\,000} = 0.7273 \text{ years}$$
$$\text{Months} = 0.7273 \times 12 = 8.73 \text{ months (or 2.73 years / 2 years 9 months)}$$
$$\text{Payback Period} = 2 \text{ years } 8.73 \text{ months}$$ (Accept 2 years 9 months or 2.73 years)

---

**(b)(ii) Accounting Rate of Return (ARR):**
1. Total net cash inflows over 4 years = $100 000 + $120 000 + $110 000 + $90 000 = $420 000
2. Total depreciation = $300 000 ($75 000 per year)
3. Total accounting profit over 4 years = $420 000 - $300 000 = $120 000
4. Average annual accounting profit = \frac{$120\,000}{4} = $30 000
5. Average investment = \frac{\text{Initial Outlay} + \text{Residual Value}}{2} = \frac{$300\,000 + 0}{2} = $150 000

$$\text{ARR} = \left( \frac{\text{Average annual profit}}{\text{Average investment}} \right) \times 100 = \left( \frac{\$30\,000}{\$150\,000} \right) \times 100 = 20.00\%$$
*(Note: If initial investment base is used: \frac{$30\,000}{$300\,000} \times 100 = 10.00\%)*

---

**(b)(iii) Net Present Value (NPV) at 10%:**
$$\begin{array}{|l|r|c|r|}
\hline
\text{Year} & \text{Net Cash Flow (\$)} & \text{Discount Factor (10\%)} & \text{Present Value (\$)} \\
\hline
0 & (300\,000) & 1.000 & (300\,000) \\
1 & 100\,000 & 0.909 & 90\,900 \\
2 & 120\,000 & 0.826 & 99\,120 \\
3 & 110\,000 & 0.751 & 82\,610 \\
4 & 90\,000 & 0.683 & 61\,470 \\
\hline
\text{Total PV of inflows} & & & 334\,100 \\
\text{Initial outlay} & & & (300\,000) \\
\hline
\text{Net Present Value (NPV)} & & & +34\,100 \\
\hline
\end{array}$$

---

**(b)(iv) Internal Rate of Return (IRR):**
1. Calculate NPV at 16%:
$$\begin{array}{|l|r|c|r|}
\hline
\text{Year} & \text{Net Cash Flow (\$)} & \text{Discount Factor (16\%)} & \text{Present Value (\$)} \\
\hline
0 & (300\,000) & 1.000 & (300\,000) \\
1 & 100\,000 & 0.862 & 86\,200 \\
2 & 120\,000 & 0.743 & 89\,160 \\
3 & 110\,000 & 0.641 & 70\,510 \\
4 & 90\,000 & 0.552 & 49\,680 \\
\hline
\text{Total PV of inflows} & & & 295\,550 \\
\text{Initial outlay} & & & (300\,000) \\
\hline
\text{Net Present Value at 16\%} & & & (4\,450) \\
\hline
\end{array}$$

2. Linear interpolation formula:
$$\text{IRR} = r_1 + \left[ \frac{\text{NPV}_1}{\text{NPV}_1 - \text{NPV}_2} \right] \times (r_2 - r_1)$$
$$\text{IRR} = 10\% + \left[ \frac{34\,100}{34\,100 - (-4\,450)} \right] \times (16\% - 10\%)$$
$$\text{IRR} = 10\% + \left[ \frac{34\,100}{38\,550} \right] \times 6\% = 10\% + (0.88456 \times 6\%) = 10\% + 5.31\% = 15.31\%$$

---

**(c) Advice to Directors:**
*Arguments in favour of the project:*
- NPV is positive at +$34 100, which adds value to shareholder wealth.
- IRR is 15.31%, which comfortably exceeds the company's 10% cost of capital (providing a safety margin of 5.31 percentage points).
- ARR is 20.00%, which exceeds the corporate target of 18%.
- Automation enhances production consistency, reduces unit manufacturing costs, and improves competitive capability.

Arguments against / Risks:
- Payback is approximately 2.73 years (2 years 9 months), failing the target payback period of 2.5 years by roughly 4 months.
- Technological risk: Automated equipment might suffer breakdown or obsolescence.
- Potential redundancy or staff retraining costs.

Decision / Conclusion:
- Recommend accepting the investment project. The positive NPV and superior ARR/IRR over the cost of capital outweigh the small delay beyond the target payback period.

(a) [4 marks total]
- 1 mark for each valid advantage (max 2 marks).
- 1 mark for each valid disadvantage (max 2 marks).

(b)(i) [3 marks total]
- 1 mark for calculating cumulative cash flows for Years 1 and 2 ($(80 000) remaining).
- 1 mark for correct fraction/months calculation (80 000 / 110 000).
- 1 mark for final payback period: 2 years 8.73 months or 2 years 9 months or 2.73 years (OF).

(b)(ii) [5 marks total]
- 1 mark for total profit calculation ($420 000 - $300 000 = $120 000).
- 1 mark for annual average profit ($30 000).
- 1 mark for average investment ($150 000) [Allow $300 000 if initial investment formula stated].
- 1 mark for applying ARR formula correctly.
- 1 mark for final ARR = 20.00% (or 10.00% if based on initial investment) (OF).

(b)(iii) [5 marks total]
- 1 mark for calculating PVs of Year 1 and Year 2 ($90 900 and $99 120).
- 1 mark for calculating PVs of Year 3 and Year 4 ($82 610 and $61 470).
- 1 mark for total present value of inflows ($334 100).
- 1 mark for deducting initial outlay ($300 000).
- 1 mark for final NPV = +$34 100 (OF).

(b)(iv) [4 marks total]
- 1 mark for PVs and total PV at 16% ($295 550).
- 1 mark for NPV at 16% = -$4 450.
- 1 mark for correct interpolation formula structure.
- 1 mark for final IRR = 15.31% (accept range 15.25% to 15.35%) (OF).

(c) [4 marks total]
- Max 2 marks for financial evaluation points referencing results from (b) (NPV positive, ARR > 18%, IRR > 10%, payback > 2.5 years).
- 1 mark for relevant non-financial / qualitative consideration (e.g., automated efficiency, retraining, maintenance/breakdown risk).
- 1 mark for a clear, justified final recommendation.