2024 Cambridge IAS-Level Accounting (9706) Practice Paper with Answers

To find B's share of the residual profit:

1. Calculate total profit available after adding interest on drawings:
\[
\text{Adjusted Profit} = \$65,500 + \text{Interest on Drawings (A: \$1,500 + B: \$1,000)} = \$65,500 + \$2,500 = \$68,000
\]

2. Deduct interest on capital:
- A: $100,000 \times 5\% = $5,000
- B: $80,000 \times 5\% = $4,000
\[
\text{Total Interest on Capital} = \$9,000
\]

3. Deduct salary to B:
\[
\text{Salary} = \$12,000
\]

4. Calculate residual profit:
\[
\text{Residual Profit} = \$68,000 - \$9,000 - \$12,000 = \$47,000
\]

5. Calculate B's share (2/5 of residual profit):
\[
\text{B's share} = \$47,000 \times \frac{2}{5} = \$18,800
\]

1 mark for correct calculation of B's share of residual profit ($18,800).

1. Calculate Cost of Sales:
\[
\text{Cost of Sales} = \text{Revenue} - \text{Gross Profit} = \$240,000 - \$96,000 = \$144,000
\]

2. Calculate Average Inventory:
\[
\text{Average Inventory} = \frac{\text{Opening Inventory} + \text{Closing Inventory}}{2} = \frac{\$18,000 + \$22,000}{2} = \$20,000
\]

3. Calculate Inventory Turnover:
\[
\text{Inventory Turnover} = \frac{\text{Cost of Sales}}{\text{Average Inventory}} = \frac{\$144,000}{\$20,000} = 7.2 \text{ times}
\]

1 mark for the correct calculation of inventory turnover (7.2 times).

1. Calculate the cost of sales using the mark-up percentage:
\[
\text{Cost of Sales} = \frac{\text{Sales}}{1 + \text{Mark-up}} = \frac{\$210,000}{1.25} = \$168,000
\]

2. Calculate the expected closing inventory if there were no fire:
\[
\text{Expected Closing Inventory} = \text{Opening Inventory} + \text{Purchases} - \text{Cost of Sales}
\]
\[
\text{Expected Closing Inventory} = \$34,000 + \$195,000 - \$168,000 = \$61,000
\]

3. Find the cost of destroyed inventory by subtracting actual undamaged inventory from the expected closing inventory:
\[
\text{Destroyed Inventory} = \$61,000 - \$22,000 = \$39,000
\]

1 mark for the correct calculation of the destroyed inventory cost ($39,000).

1. Calculate the contribution per unit for each product:
- Product X: $50 - $30 = $20
- Product Y: $70 - $42 = $28

2. Calculate the contribution per labor hour (limiting factor):
- Product X: $\frac{20}{2 \text{ hours}} = $10 per hour
- Product Y: $\frac{28}{4 \text{ hours}} = $7 per hour

3. Since Product X has a higher contribution per hour ($10 > $7), we prioritize the production of Product X.

4. Allocate hours to satisfy the maximum demand of Product X:
\[
500 \text{ units of X} \times 2 \text{ hours/unit} = 1,000 \text{ hours}
\]

5. Allocate the remaining hours to Product Y:
\[
\text{Remaining hours} = 1,200 - 1,000 = 200 \text{ hours}
\]
\[
\text{Units of Y produced} = \frac{200 \text{ hours}}{4 \text{ hours/unit}} = 50 \text{ units}
\]

1 mark for identifying the optimum quantity of Product Y to be produced (50 units).

1. Calculate the predetermined overhead absorption rate (OAR):
\[
\text{OAR} = \frac{\text{Budgeted Overheads}}{\text{Budgeted Direct Labor Hours}} = \frac{\$180,000}{45,000} = \$4.00 \text{ per direct labor hour}
\]

2. Calculate overheads absorbed based on actual hours worked:
\[
\text{Overheads Absorbed} = 46,200 \text{ hours} \times \$4.00 = \$184,800
\]

3. Compare with actual overheads incurred:
\[
\text{Actual Overheads} = \$192,000
\]
\[
\text{Difference} = \$192,000 - \$184,800 = \$7,200
\]
Since absorbed overheads ($184,800) are less than actual overheads incurred ($192,000), overheads are under-absorbed by $7,200.

1 mark for calculating $7,200 under-absorbed.

1. Find the initial number of shares:
\[
\frac{\$200,000}{\$0.50} = 400,000 \text{ shares}
\]

2. Calculate the rights issue details:
- Rights shares issued: \(400,000 \times \frac{1}{4} = 100,000\) shares.
- Issue price is $0.80, which is a premium of $0.30 per share ($0.80 - $0.50).
- Increase in share premium: \(100,000 \times \$0.30 = \$30,000\).
- New share premium balance: \(\$60,000 + \$30,000 = \$90,000\).
- Total shares now in issue: \(400,000 + 100,000 = 500,000\) shares.

3. Calculate the bonus issue details:
- Bonus shares issued: \(500,000 \times \frac{1}{10} = 50,000\) shares.
- Nominal value of bonus shares (funded from share premium): \(50,000 \times \$0.50 = \$25,000\).
- Decrease in share premium balance: \(\$25,000\).

4. Final share premium balance:
\[
\$90,000 - \$25,000 = \$65,000
\]

1 mark for calculating the correct ending share premium balance of $65,000.

1. Identify the credit purchases:
\[
\text{Credit Purchases} = \text{Total Purchases} - \text{Cash Purchases} = \$38,000 - \$3,200 = \$34,800
\]

2. Calculate the closing credit balance using the control account ledger movements:
\[
\text{Closing Balance} = \text{Opening Balance} + \text{Credit Purchases} - \text{Returns Outward} - \text{Payments} - \text{Discounts Received} - \text{Contra Entry}
\]
\[
\text{Closing Balance} = \$24,500 + \$34,800 - \$1,450 - \$31,000 - \$850 - \$1,200
\]
\[
\text{Closing Balance} = \$59,300 - \$34,500 = \$24,800
\]

1 mark for the correct calculation of the closing credit balance ($24,800).

1. Adjust for draft profit: $84,600

2. Adjustment 1 (Rent prepaid):
Rent expense must be reduced by $1,800, which increases profit by $1,800.

3. Adjustment 2 (Office equipment error):
- Non-current asset purchase was incorrectly debited to Purchases (expense). Correcting this decreases purchases (and thus increases profit) by $4,000.
- Depreciation on the equipment must be recorded from 1 October to 31 December (3 months):
\[
\text{Depreciation} = \$4,000 \times 20\% \times \frac{3}{12} = \$200
\]
Depreciation is an expense, which reduces profit by $200.
- Net effect of Adjustment 2: \(+\$4,000 - \$200 = +\$3,800\).

4. Calculate corrected profit:
\[
\text{Corrected Profit} = \$84,600 + \$1,800 + \$3,800 = \$90,200
\]

1 mark for the correct calculation of corrected profit ($90,200).

1. **Calculate the new selling price:**
\(\text{New Selling Price} = \$24.00 \times 1.10 = \$26.40\)

2. **Calculate the new variable costs per unit:**
* New Direct Materials = \(\$6.00 \times 1.20 = \$7.20\)
* Direct Labor = \(\$5.00\)
* Variable Overheads = \(\$3.00\)
* \(\text{Total New Variable Cost} = \$7.20 + \$5.00 + \$3.00 = \$15.20\)

3. **Calculate the new contribution per unit:**
\(\text{New Contribution} = \$26.40 - \$15.20 = \$11.20\)

4. **Calculate the new break-even point:**
\(\text{Break-even Point} = \frac{\text{New Fixed Costs}}{\text{New Contribution}} = \frac{\$85,000}{\$11.20} \approx 7,589.28\) units, which rounds to **7,589** units.

1 mark for the correct answer C.
Method of calculation:
- Calculate revised Selling Price ($26.40)
- Calculate revised variable costs ($15.20)
- Calculate revised contribution ($11.20)
- Divide revised fixed costs by revised contribution (7,589 units)

1. **Determine the correct valuation of the damaged goods:**
According to IAS 2, inventory is valued at the lower of cost and Net Realisable Value (NRV).
* Cost = \(\$2,400\)
* NRV = Estimated Selling Price \(-\) Estimated Repair Costs = \(\$1,500 - \$300 = \$1,200\)
Since NRV ($1,200) is lower than cost ($2,400), the damaged goods must be written down by \(\$1,200\) ($2,400 \(-\) $1,200).

2. **Calculate the correct closing inventory:**
\(\text{Correct Closing Inventory} = \$16,800 - \$1,200 = \$15,600\)

3. **Calculate the Cost of Sales:**
\(\text{Cost of Sales} = \text{Opening Inventory} + \text{Purchases} - \text{Correct Closing Inventory}\)
\(\text{Cost of Sales} = \$14,200 + \$85,600 - \$15,600 = \$84,200\)

4. **Calculate Gross Profit:**
\(\text{Gross Profit} = \text{Revenue} - \text{Cost of Sales} = \$112,000 - \$84,200 = \$27,800\)

1 mark for the correct answer A.
- Deduct write-down of $1,200 from closing inventory (Correct valuation = $15,600).
- Calculate Cost of Sales ($84,200).
- Subtract Cost of Sales from Revenue to get Gross Profit of $27,800.

1. **Calculate the current collection period:**
\(\text{Collection Period} = \frac{\text{Closing Trade Receivables}}{\text{Credit Sales}} \times 365\)
\(\text{Collection Period} = \frac{\$54,000}{\$438,000} \times 365 = 45\) days

2. **Determine the target collection period:**
\(\text{Target Period} = 45\) days \(- 10\) days \(= 35\) days

3. **Calculate the required closing trade receivables:**
\(\text{Required Receivables} = \frac{\text{Target Period}}{365} \times \text{Credit Sales}\)
\(\text{Required Receivables} = \frac{35}{365} \times \$438,000 = \$42,000\)

1 mark for the correct answer B.
- Calculate current collection period as 45 days.
- Subtract 10 days to get target collection period of 35 days.
- Calculate the corresponding closing receivables as $42,000.

1. **Original status:**
* Number of shares = \(\frac{\$200,000}{\$0.50} = 400,000\) shares.
* Share Capital = \(\$200,000\), Share Premium = \(\$70,000\).

2. **Rights Issue (1 for 4):**
* Number of rights shares = \(400,000 \div 4 = 100,000\) shares.
* Nominal value of rights shares = \(100,000 \times \$0.50 = \$50,000\).
* Premium on rights shares = \(100,000 \times (\$0.80 - \$0.50) = \$30,000\).
* Post-rights Share Capital = \(\$200,000 + \$50,000 = \$250,000\).
* Post-rights Share Premium = \(\$70,000 + \$30,000 = \$100,000\).
* Total shares in issue = \(400,000 + 100,000 = 500,000\) shares.

3. **Bonus Issue (1 for 5):**
* Number of bonus shares = \(500,000 \div 5 = 100,000\) shares.
* Value of bonus shares (at nominal value) = \(100,000 \times \$0.50 = \$50,000\).
* Funded from Share Premium:
* Share Premium decreases by \(\$50,000\) (remaining balance = \(\$100,000 - \$50,000 = \$50,000\)).
* Share Capital increases by \(\$50,000\) (new balance = \(\$250,000 + \$50,000 = \$300,000\)).

1 mark for the correct answer A.
- Correct post-rights balances: Share Capital $250,000, Share Premium $100,000.
- Correct bonus shares: 100,000 shares worth $50,000.
- Correct final balances: Share Capital $300,000, Share Premium $50,000.

1. **Raise goodwill in the old ratio (3:2):**
* X's share of Goodwill = \(\$40,000 \times \frac{3}{5} = \$24,000\) (credited)

2. **Write off goodwill in the new ratio (5:3:2):**
* Total parts = \(5 + 3 + 2 = 10\)
* X's share of Goodwill write-off = \(\$40,000 \times \frac{5}{10} = \$20,000\) (debited)

3. **Calculate X's final capital account balance:**
* \(\text{Opening balance} + \text{Goodwill credited} - \text{Goodwill debited}\)
* \(\$80,000 + \$24,000 - \$20,000 = \$84,000\)

1 mark for the correct answer C.
- Calculate goodwill share under old ratio (+$24,000 to X).
- Calculate goodwill share under new ratio (-$20,000 to X).
- Net adjustment is +$4,000, leading to a balance of $84,000.

1. **Correct Error 1 (Capital vs Revenue Expenditure & Depreciation):**
* Motor repairs should have been debited to repairs expense (reducing profit by \(\$1,200\)).
* Because it was capitalised, excessive depreciation was charged.
Excess depreciation = \(\$1,200 \times 20\% = \$240\).
This must be reversed (increasing profit by \(\$240\)).
* Net impact of Error 1 = \(-\$1,200 + \$240 = -\$960\).

2. **Correct Error 2 (Accrued Electricity):**
* Accrued electricity was understated by \(\$350\), which means the electricity expense was understated and needs to be increased.
* This reduces profit by \(\$350\).

3. **Calculate corrected profit:**
* \(\text{Draft Profit} = \$64,500\)
* \(\text{Adjustment 1} = -\$960\)
* \(\text{Adjustment 2} = -\$350\)
* \(\text{Corrected Profit} = \$64,500 - \$960 - \$350 = \$63,190\)

1 mark for the correct answer C.
- Adjust for repairs expense (-$1,200).
- Adjust for incorrect depreciation (+$240).
- Adjust for understated accrual (-$350).
- Corrected profit = $63,190.

1. **Reconcile from Bank Statement to Adjusted Cash Book:**
* Bank Statement Balance (Credit/Positive) = \(+\$1,840\)
* Add: Receipts not yet credited (lodgements) = \(+\$940\)
* Less: Unpresented checks = \(-\$620\)
* \(\text{Adjusted Cash Book Balance} = \$1,840 + \$940 - \$620 = \$2,160\) (Debit/Positive balance)

2. **Revert back to Unadjusted Cash Book Balance:**
* The adjusted balance includes the bank service charge of \(\$80\) already deducted.
* Therefore, \(\text{Unadjusted Balance} = \text{Adjusted Balance} + \text{Service Charge}\)
* \(\text{Unadjusted Balance} = \$2,160 + \$80 = \$2,240\)

1 mark for the correct answer C.
- Calculate the adjusted cash book balance of $2,160.
- Add back the unrecorded bank service charges of $80 to find the original unadjusted cash book balance of $2,240.

When a buyer pays a credit supplier and receives a cash discount:
1. The **Supplier (Trade Payables)** account is debited with the total invoice amount to clear the liability.
2. The **Bank** account is credited with the cash actually paid.
3. The **Discount Received** account is credited with the value of the cash discount allowed by the supplier.

1 mark for the correct answer A.
- Debit: Supplier (clears total invoice value)
- Credit: Bank (actual cash outflow)
- Credit: Discount received (gain / reduction in expenditure)

Let's calculate the current and new margins of safety:

**1. Current Margin of Safety:**
* Current Contribution per unit = $25 - $15 = $10
* Current Breakeven Point (BEP) = $60,000 / $10 = 6,000 units
* Current Margin of Safety = Expected Sales - BEP = 9,000 - 6,000 = 3,000 units

**2. Proposed Margin of Safety:**
* New Variable Cost per unit = $15 \times (1 - 0.20) = $12
* New Contribution per unit = $25 - $12 = $13
* New Fixed Costs = $60,000 + $18,000 = $78,000
* New BEP = $78,000 / $13 = 6,000 units
* New Expected Sales = 9,000 + 1,000 = 10,000 units
* New Margin of Safety = 10,000 - 6,000 = 4,000 units

**3. Change in Margin of Safety:**
* Change = 4,000 - 3,000 = 1,000 units (Increase)

Award 1 mark for the correct option (B).

* If candidate calculated current MoS as 3,000 units (1 mark equivalent)
* If candidate calculated new MoS as 4,000 units (1 mark equivalent)
* Difference = 1,000 units increase.

When a limiting factor (skilled labour hours) exists, products must be ranked and manufactured according to their contribution per unit of limiting factor.

**1. Contribution per unit:**
* Product P: $30 - $18 = $12
* Product Q: $45 - $25 = $20
* Product R: $50 - $36 = $14

**2. Contribution per labor hour:**
* Product P: $12 / 2 hours = $6.00 per hour
* Product Q: $20 / 4 hours = $5.00 per hour
* Product R: $14 / 2 hours = $7.00 per hour

**3. Priority Ranking:**
* 1st priority: Product R ($7.00/hour)
* 2nd priority: Product P ($6.00/hour)
* 3rd priority: Product Q ($5.00/hour)

Therefore, the correct manufacturing priority is R, then P, then Q.

Award 1 mark for the correct ranking order option (C).

* Product R contribution per hour = $7.00
* Product P contribution per hour = $6.00
* Product Q contribution per hour = $5.00

Let's compute the value of the inventory that should have been available before the fire, and then find the cost of the destroyed inventory:

**1. Cost of Sales:**
* Gross Profit Margin = 25%
* Cost of Sales Ratio = 100% - 25% = 75%
* Cost of Sales = $240,000 \times 75% = $180,000

**2. Closing Inventory (before fire):**
* Cost of Sales = Opening Inventory + Purchases - Closing Inventory
* $180,000 = $34,000 + $180,000 - Closing Inventory
* Closing Inventory (before fire) = $214,000 - $180,000 = $34,000

**3. Destroyed Inventory:**
* Cost of Destroyed Inventory = Closing Inventory (before fire) - Undamaged Inventory
* Cost of Destroyed Inventory = $34,000 - $8,000 = $26,000

Award 1 mark for the correct answer (C).

* If candidate used 25% mark-up instead of margin, they would calculate Cost of Sales = $192,000, leading to $14,000 (A).
* If candidate failed to subtract undamaged inventory, they would get $34,000 (D).

Let's calculate the rent expense and prepayment step-by-step:

**1. Rent Expense for the year (Jan - Dec):**
* **January:** Covered by the payment on 1 November of the previous year (which was at the quarterly rate of $2,400, or $800 per month). Expense for Jan = $800.
* **February, March, April:** Covered by the payment on 1 February (3 months at $800 per month). Expense = $2,400.
* **May, June, July:** Covered by the payment on 1 May (at the new quarterly rate of $2,700, or $900 per month). Expense for May, June, July = $2,700.
* **August, September, October:** Covered by the payment on 1 August (3 months at $900 per month). Expense = $2,700.
* **November, December:** Covered by the payment on 1 November (only Nov and Dec fall within this financial year, which is 2 months at $900 per month). Expense = $1,800.

Total Rent Expense = $800 + $2,400 + $2,700 + $2,700 + $1,800 = $10,400.

**2. Rent Prepayment as at 31 December:**
* The payment on 1 November covers November, December, and January of the following year.
* Since January belongs to the next financial year, 1 month of rent is prepaid.
* Prepayment = $2,700 / 3 months = $900.

Award 1 mark for the correct row (A).

* Rent expense calculation of $10,400 (Method/Accuracy)
* Rent prepayment calculation of $900 (Method/Accuracy)

Let's analyze the effects of this transaction mathematically:

* The settling of trade payables of $1,000 means Current Liabilities (CL) decrease by $1,000.
* With a 2% discount, the cash paid is $1,000 \times 0.98 = $980. Current Assets (CA) and Liquid Assets (LA) both decrease by $980.

**1. Current Ratio Effect (Initial Ratio = 1.5):**
* Assume initial CA = $15,000 and CL = $10,000.
* New CA = $15,000 - $980 = $14,020
* New CL = $10,000 - $1,000 = $9,000
* New Current Ratio = $14,020 / $9,000 = 1.558 : 1. (Increase)

**2. Liquid Ratio Effect (Initial Ratio = 0.8):**
* Assume initial LA = $8,000 and CL = $10,000.
* New LA = $8,000 - $980 = $7,020
* New CL = $10,000 - $1,000 = $9,000
* New Liquid Ratio = $7,020 / $9,000 = 0.78 : 1. (Decrease)

Thus, the current ratio increases and the liquid ratio decreases.

Award 1 mark for the correct row (C).

* Current ratio increases because the proportional reduction in liabilities is greater than the proportional reduction in current assets.
* Liquid ratio decreases because the starting ratio is less than 1.0, and the cash reduction reduces the liquid assets by a greater proportion than current liabilities.

Let's perform the partnership appropriation account calculations:

**1. Interest on Capital:**
* A: 5% of $80,000 = $4,000
* B: 5% of $60,000 = $3,000
* Total = $7,000

**2. Interest on Drawings:**
* A: 10% of $15,000 = $1,500
* B: 10% of $10,000 = $1,000
* Total = $2,500

**3. Residual Profit:**
* Profit for year + Interest on Drawings - Interest on Capital - Salary
* $64,500 + $2,500 - $7,000 - $12,000 = $48,000

**4. B's share of residual profit:**
* B's share = 2/5 \times $48,000 = $19,200

**5. Net credits to B's Current Account:**
* Interest on capital (Credit): $3,000
* Salary (Credit): $12,000
* Residual Profit Share (Credit): $19,200
* Interest on drawings (Debit): ($1,000)
* Total net credit = $3,000 + $12,000 + $19,200 - $1,000 = $33,200

Award 1 mark for the correct answer (C).

* If candidate calculated B's share of residual profit as $19,200 (Option A).
* If candidate failed to subtract B's interest on drawings from B's credits, they get $34,200 (Option D).

Let's adjust the draft profit for the errors:

* **Draft Profit:** $85,000
* **Error 1 (Repairs treated as capital expenditure):**
* The repairs of $1,200 should have been debited as an expense. Therefore, decrease profit by $1,200.
* Because it was debited to the asset account, 20% depreciation was incorrectly charged on it (20% of $1,200 = $240). We must reverse this incorrect depreciation. Therefore, increase profit by $240.
* Net effect of Error 1 = -$1,200 + $240 = -$960.
* **Error 2 (Closing inventory overvalued):**
* Overvalued closing inventory increases profit. To correct this, we must decrease profit by $3,500.

**Corrected Profit:**
$85,000 - $960 - $3,500 = $80,540

Award 1 mark for the correct answer (B).

* If candidate failed to reverse the depreciation of $240, they get $80,300 (Option A).
* If candidate added the inventory correction instead of subtracting, they get $87,540 (Option D).

Let's perform the reconciliation backward:

**1. Find the Corrected Cash Book Balance:**
* Corrected Cash Book Balance = Balance per Bank Statement + Uncredited Deposits - Unpresented Cheques
* Corrected Cash Book Balance = -$3,450 + $2,500 - $1,800 = -$2,750 (overdrawn)

**2. Find the Original Cash Book Balance (before adjusting bank charges):**
* Corrected Cash Book Balance = Original Cash Book Balance - Bank Charges
* -$2,750 = Original Cash Book Balance - $120
* Original Cash Book Balance = -$2,750 + $120 = -$2,630 (overdrawn)

Award 1 mark for the correct answer (A).

* Calculation of corrected cash book balance of $2,750 overdrawn (1 mark equivalent).
* Adjustment for bank charges to retrieve original balance of $2,630 overdrawn (1 mark equivalent).

To find the corrected balance of the purchase ledger control account (PLCA), we must apply the corrections for errors that affect the general ledger control account:

1. **Error 1** only affects the supplier's individual ledger account, so no adjustment is made to the PLCA.
2. **Error 2**: The credit purchase invoice of $180 was completely omitted. We must credit the PLCA to record this: \( +\$180 \).
3. **Error 3**: A discount received of $90 should have been debited to the PLCA. Instead, it was credited. To correct this error, we must debit the PLCA with double the amount: \( -\$180 \) (or debiting \( \$180 \)).

Calculation of corrected PLCA balance:
\[
\text{Draft PLCA balance} = \$14,110 \text{ (credit)}
\]
\[
\text{Add: Omitted purchase} = +\$180
\]
\[
\text{Less: Correction of discount received} = -\$180
\]
\[
\text{Corrected PLCA balance} = \$14,110 \text{ (credit)}
\]

Verification against the individual ledger balances:
\[
\text{Draft individual list total} = \$14,630 \text{ (credit)}
\]
\[
\text{Less: Correction of payment mispost (debit } 2 \times \$350\text{)} = -\$700
\]
\[
\text{Add: Omitted purchase} = +\$180
\]
\[
\text{Corrected individual list total} = \$14,110 \text{ (credit)}
\]
Both balances reconcile at $14,110.

1 mark for the correct answer (B).
- Award 1 mark for correct calculation of PLCA adjustments: Draft Balance ($14,110) + Omitted Purchase ($180) - Double Discount correction ($180) = $14,110.
- Reject other options arising from incorrect treatment of double-sided entries or individual ledger corrections.

To calculate the correct cost of sales, we first adjust purchases and closing inventory:

1. **Adjusted Purchases**:
Drawings of goods by the owner must be subtracted from purchases because they are not part of the goods sold to customers.
\[
\text{Adjusted Purchases} = \$156,000 - \$4,000 = \$152,000
\]

2. **Adjusted Closing Inventory**:
Inventory must be valued at the lower of cost and net realisable value (NRV).
- Cost of damaged goods = $3,000
- NRV of damaged goods = Estimated selling price \( (\$1,800) \) - Cost of repairs \( (\$300) \) = $1,500
Since NRV ($1,500) is lower than cost ($3,000), closing inventory must be written down by the difference: \( \$3,000 - \$1,500 = \$1,500 \).
\[
\text{Adjusted Closing Inventory} = \$28,000 - \$1,500 = \$26,500
\]

3. **Cost of Sales Calculation**:
\[
\text{Cost of Sales} = \text{Opening Inventory} + \text{Adjusted Purchases} - \text{Adjusted Closing Inventory}
\]
\[
\text{Cost of Sales} = \$22,000 + \$152,000 - \$26,500 = \$147,500
\]

1 mark for the correct answer (C).
- Award 1 mark for calculating correct purchases of $152,000 and correct closing inventory of $26,500 to arrive at Cost of Sales of $147,500.
- Reject option A (adds write-down to closing inventory).
- Reject option B (omits closing inventory write-down).
- Reject option D (ignores both drawings and closing inventory write-down).

ROCE is calculated using the formula:
\[
\text{ROCE} = \frac{\text{Profit from operations}}{\text{Capital Employed}} \times 100\%
\]

1. **Calculate Profit from Operations (Operating Profit / EBIT)**:
\[
\text{Gross Profit} = 30\% \times \$500,000 = \$150,000
\]
\[
\text{Profit from operations} = \text{Gross Profit} - \text{Operating expenses} = \$150,000 - \$90,000 = \$60,000
\]
(Note: Finance costs are excluded from this step as they are paid out of operating profit.)

2. **Calculate Capital Employed**:
\[
\text{Capital Employed} = \text{Share capital and reserves} + \text{Non-current liabilities}
\]
\[
\text{Capital Employed} = \$375,000 + \$125,000 = \$500,000
\]

3. **Calculate ROCE**:
\[
\text{ROCE} = \frac{\$60,000}{\$500,000} \times 100\% = 12.0\%
\]

1 mark for the correct answer (B).
- Award 1 mark for correct calculations of profit from operations ($60,000) and capital employed ($500,000) to yield 12.0%.
- Reject option A (uses profit after finance costs, i.e. $50,000 / $500,000 = 10.0%).
- Reject option D (omits debentures from capital employed, i.e. $60,000 / $375,000 = 16.0%).

1. **Initial number of ordinary shares**:
\[
\frac{\$300,000}{\$0.50} = 600,000 \text{ shares}
\]

2. **Rights Issue**:
- Shares issued: \( 600,000 / 3 = 200,000 \) shares.
- Issue price: $0.75 per share (Premium = \( \$0.75 - \$0.50 = \$0.25 \) per share).
- Increase in Share Premium: \( 200,000 \times \$0.25 = \$50,000 \).
- Balance of Share Premium after rights issue: \( \$80,000 + \$50,000 = \$130,000 \).
- Total number of shares in issue after rights issue: \( 600,000 + 200,000 = 800,000 \) shares.

3. **Bonus Issue**:
- Shares issued: \( 800,000 / 5 = 160,000 \) shares.
- Nominal value of bonus shares: \( 160,000 \times \$0.50 = \$80,000 \).
- To maintain reserves in their most flexible form, the bonus issue should be funded first from non-distributable reserves (Share Premium) before using distributable reserves (Retained Earnings).
- Reduction in Share Premium: $80,000.
- Balance of Share Premium after bonus issue: \( \$130,000 - \$80,000 = \$50,000 \).

4. **Other transactions**:
Profit and dividends affect Retained Earnings and do not impact the Share Premium account.

Therefore, the balance of the share premium account at 31 December 2023 was $50,000.

1 mark for the correct answer (A).
- Award 1 mark for calculating correct rights premium addition ($50,000) and bonus issue subtraction ($80,000) from share premium.
- Reject option B ($65,000, which occurs if the nominal share value division to find share quantities is omitted).
- Reject option D ($130,000, which occurs if the bonus issue is incorrectly funded from retained earnings).

First, prepare the Partnership Appropriation Account for the year ended 31 December 2023:

1. **Add: Interest on Drawings**:
- X: \( 10\% \times \$12,000 = \$1,200 \)
- Y: \( 10\% \times \$18,000 = \$1,800 \)
- Total Interest on Drawings = $3,000
- Total profit to allocate: \( \$92,000 + \$3,000 = \$95,000 \)

2. **Less: Salary to Y** = $15,000

3. **Less: Interest on Capital**:
- X: \( 5\% \times \$80,000 = \$4,000 \)
- Y: \( 5\% \times \$60,000 = \$3,000 \)
- Total Interest on Capital = $7,000

4. **Residual Profit**:
\[
\text{Residual Profit} = \$95,000 - \$15,000 - \$7,000 = \$73,000
\]
- Y's share of residual profit (2/5): \( \$73,000 \times 0.4 = \$29,200 \)

Now, calculate Y's Current Account Balance at 31 December 2023:
\[
\text{Opening balance (debit)} = -\$2,000
\]
\[
\text{Add: Salary} = +\$15,000
\]
\[
\text{Add: Interest on Capital} = +\$3,000
\]
\[
\text{Add: Share of Profit} = +\$29,200
\]
\[
\text{Less: Drawings} = -\$18,000
\]
\[
\text{Less: Interest on Drawings} = -\$1,800
\]
\[
\text{Ending Current Account Balance} = -2,000 + 15,000 + 3,000 + 29,200 - 18,000 - 1,800 = \$25,400 \text{ (credit)}
\]

1 mark for the correct answer (B).
- Award 1 mark for correct calculation of residual profit shared ($29,200) and net balance of current account of Y ($25,400 credit).
- Reject option D (fails to treat opening debit current account balance as a negative/debit, adding it instead).

First, identify the limiting factor and rank the products based on contribution per machine hour:

1. **Contribution per unit**:
- Alpha: \( \$50 - \$22 = \$28 \)
- Beta: \( \$60 - \$20 = \$40 \)

2. **Contribution per machine hour**:
- Alpha: \( \$28 / 2 \text{ hours} = \$14 \text{ per hour} \)
- Beta: \( \$40 / 4 \text{ hours} = \$10 \text{ per hour} \)

3. **Ranking**:
- Alpha is ranked 1st (gives higher contribution per hour).
- Beta is ranked 2nd.

4. **Optimal Production Plan** (Capacity = 2,000 hours):
- Produce 100% of Alpha demand (600 units):
- Hours used: \( 600 \times 2 = 1,200 \) hours.
- Contribution from Alpha: \( 600 \times \$28 = \$16,800 \).
- Remaining hours: \( 2,000 - 1,200 = 800 \) hours.
- Produce Beta units with remaining hours:
- Units of Beta: \( 800 \text{ hours} / 4 \text{ hours per unit} = 200 \) units.
- Contribution from Beta: \( 200 \times \$40 = \$8,000 \).

5. **Maximum Monthly Profit**:
\[
\text{Total Contribution} = \$16,800 + \$8,000 = \$24,800
\]
\[
\text{Profit} = \text{Total Contribution} - \text{Fixed Overheads} = \$24,800 - \$10,000 = \$14,800
\]

1 mark for the correct answer (C).
- Award 1 mark for correctly ranking Alpha 1st and Beta 2nd, allocating hours to produce 600 Alpha and 200 Beta, calculating contribution of $24,800, and subtracting $10,000 fixed overheads to get $14,800.
- Reject option D (this is contribution of $24,800, without subtracting fixed costs).
- Reject option B (allocating hours equally 1,000:1,000 resulting in profit of $14,000).
- Reject option A (producing Beta first due to higher contribution per unit of $40, yielding profit of $10,000).

**(a) Calculations for 2023:**

**(i) Credit sales:**
$$\text{Opening Receivables} + \text{Credit Sales} - \text{Receipts} = \text{Closing Receivables}$$
$$\$12,600 + \text{Credit Sales} - \$114,200 = \$14,800$$
$$\text{Credit Sales} = \$114,200 + \$14,800 - \$12,600 = \$116,400$$

**(ii) Credit purchases:**
$$\text{Opening Payables} + \text{Credit Purchases} - \text{Payments} = \text{Closing Payables}$$
$$\$9,400 + \text{Credit Purchases} - \$72,300 = \$11,200$$
$$\text{Credit Purchases} = \$72,300 + \$11,200 - \$9,400 = \$74,100$$

***

**(b) Closing inventory on 31 December 2023:**
* Cost of credit sales:
$$\text{Credit Sales} \times (100\% - \text{GP Margin}) = \$116,400 \times 60\% = \$69,840$$
* Cost of cash sales:
$$\text{Cash Sales} \div (1 + \text{Mark-up}) = \$18,500 \div 1.25 = \$14,800$$
* Total Cost of Sales:
$$\$69,840 + \$14,800 = \$84,640$$
* Closing Inventory:
$$\text{Opening Inventory} + \text{Purchases} - \text{Closing Inventory} = \text{Total Cost of Sales}$$
$$\$18,400 + \$74,100 - \text{Closing Inventory} = \$84,640$$
$$\text{Closing Inventory} = \$92,500 - \$84,640 = \$7,860$$

***

**(c) Income Statement for the year ended 31 December 2023:**

$$\begin{array}{lrr}
\textbf{Revenue} & \$ & \$ \\
\text{Credit sales} & 116,400 & \\
\text{Cash sales} & 18,500 & \\ \hline
\text{Total Revenue} & & 134,900 \\
\textbf{Cost of Sales} & & \\
\text{Opening Inventory} & 18,400 & \\
\text{Purchases} & 74,100 & \\ \hline
& 92,500 & \\
\text{Less: Closing Inventory} & (7,860) & \\ \hline
\text{Cost of Sales} & & (84,640) \\ \hline
\textbf{Gross Profit} & & \mathbf{50,260} \\
\textbf{Expenses} & & \\
\text{Rent } (\$14,400 + \$1,200 - \$1,500) & 14,100 & \\
\text{Wages } (\$12,450 - \$800 + \$650) & 12,300 & \\
\text{Sundry expenses} & 9,800 & \\
\text{Depreciation: Equipment } (15\% \times \$24,000) & 3,600 & \\ \hline
\text{Total Expenses} & & (39,800) \\ \hline
\textbf{Profit for the year} & & \mathbf{10,460} \\ \hline
\end{array}$$

***

**(d) Evaluation and Decision Analysis:**

**Option 1 Calculations:**
* New Credit Sales Volume: increases by 25%.
* New Cost of credit sales = $$69,840 \times 1.25 = $87,300$
* Selling price drops by 5%.
* New Credit Revenue = $$116,400 \times 1.25 \times 0.95 = $138,225$
* New Gross profit on credit sales = $$138,225 - $87,300 = $50,925$
* Cash sales gross profit remains = $$18,500 - $14,800 = $3,700$
* Total Gross Profit = $$$50,925 + $3,700 = $54,625$
* Total Expenses = $$39,800 + $1,500 \text{ (advertising)} = $41,300$
* **Revised Profit (Option 1)** = $$54,625 - $41,300 = $13,325$

**Option 2 Calculations:**
* Former credit customers volume converted = 60%.
* Cost of sales of converted customers = $$69,840 \times 60\% = $41,904$
* Revenue of converted customers (25% mark-up) = $$41,904 \times 1.25 = $52,380$
* Gross profit on converted customers = $$52,380 - $41,904 = $10,476$
* Existing cash sales gross profit remains = $$3,700$
* Total Gross Profit = $$10,476 + $3,700 = $14,176$
* Total Expenses = $$39,800 - $2,200 \text{ (savings)} = $37,600$
* **Revised Loss (Option 2)** = $$14,176 - $37,600 = ($23,424)$

**Qualitative Factors & Recommendation:**
* **Option 1:** Leads to an increase in profit of $2,865 (from $10,460 to $13,325). However, a price cut may spark reactions from competitors, and credit expansion might worsen working capital/cash flow and increase bad debt risks.
* **Option 2:** Results in a massive net loss of $23,424, making it highly non-viable despite eliminating credit risk and administrative burdens.
* **Recommendation:** Ethan should accept **Option 1** as it is the only option that increases profitability, but he must manage trade receivables carefully.

**(a) Calculations [4 marks]**
(i) Credit sales: $114,200 + $14,800 - $12,600 = $116,400 [1 mark for method, 1 mark for correct figure]
(ii) Credit purchases: $72,300 + $11,200 - $9,400 = $74,100 [1 mark for method, 1 mark for correct figure]

**(b) Closing Inventory [4 marks]**
* Cost of credit sales = $116,400 * 60% = $69,840 [1 mark]
* Cost of cash sales = $18,500 / 1.25 = $14,800 [1 mark]
* Total Cost of Sales = $69,840 + $14,800 = $84,640 [1 mark]
* Closing inventory = $18,400 + $74,100 - $84,640 = $7,860 [1 mark OF]

**(c) Income Statement [12 marks]**
* Revenue: $134,900 [1 mark]
* Opening inventory + Purchases - Closing inventory [1 mark for structure]
* Cost of Sales: $84,640 [1 mark OF]
* Gross Profit: $50,260 [1 mark OF]
* Rent: $14,100 [2 marks] (1 mark for working: $14,400 + $1,200 - $1,500)
* Wages: $12,300 [2 marks] (1 mark for working: $12,450 - $800 + $650)
* Sundry expenses: $9,800 [1 mark]
* Depreciation: $3,600 [2 marks] (1 mark for working: 15% * $24,000)
* Profit for the year: $10,460 [1 mark OF]

**(d) Option Evaluation & Decision [10 marks]**
* **Option 1 calculations:**
* New credit sales: $138,225 [1 mark]
* New cost of credit sales: $87,300 [1 mark]
* New expenses: $41,300 [1 mark]
* Revised Profit: $13,325 [1 mark OF]
* **Option 2 calculations:**
* Converted cash sales: $52,380 [1 mark]
* Cost of converted sales: $41,904 [1 mark]
* Revised Loss: ($23,424) [1 mark OF]
* **Evaluation and Recommendation:**
* Max [3 marks] for qualitative arguments comparing Option 1 and Option 2, and concluding that Option 1 should be selected (or staying with the current setup if Option 1 credit risk is deemed too high), reject Option 2 completely due to substantial loss.

### Part (a) Calculations

**(i) Gross profit margin**
$$\text{Gross profit margin} = \left( \frac{\text{Gross Profit}}{\text{Revenue}} \right) \times 100$$
$$\text{Gross profit margin} = \left( \frac{\$160,000}{\$480,000} \right) \times 100 = 33.33\%$$

**(ii) Liquid (acid test) ratio**
$$\text{Liquid Assets} = \text{Current Assets} - \text{Inventory} = (\$40,000 + \$48,000 + \$4,000) - \$40,000 = \$52,000$$
$$\text{Current Liabilities} = \$36,000$$
$$\text{Liquid ratio} = \frac{\$52,000}{\$36,000} = 1.44:1$$

**(iii) Trade receivables turnover**
$$\text{Trade receivables turnover} = \left( \frac{\text{Trade Receivables}}{\text{Credit Revenue}} \right) \times 365$$
$$\text{Trade receivables turnover} = \left( \frac{\$48,000}{\$480,000} \right) \times 365 = 36.5 \text{ days} \approx 37 \text{ days}$$

**(iv) Inventory turnover**
$$\text{Average Inventory} = \frac{\$24,000 + \$40,000}{2} = \$32,000$$
$$\text{Inventory turnover} = \left( \frac{\text{Average Inventory}}{\text{Cost of Sales}} \right) \times 365$$
$$\text{Inventory turnover} = \left( \frac{\$32,000}{\$320,000} \right) \times 365 = 36.5 \text{ days} \approx 37 \text{ days}$$
*(Note: If closing inventory was used: \((\$40,000 / \$320,000) \times 365 = 45.63 \approx 46 \text{ days}\))*

---

### Part (b) Analysis and Comment

* **Liquidity:** The liquid (acid test) ratio has decreased from 1.50:1 in 2022 to 1.44:1 in 2023 (1 mark). Although it remains above the traditional benchmark of 1:1 (indicating the company can still cover its current liabilities without selling inventory) (1 mark), the trend is downward.
* **Inventory Management:** The inventory turnover has slowed down significantly from 28 days to 37 days (1 mark). This indicates that inventory is holding up cash for longer periods, which may be a contributing factor to the decline in liquidity (1 mark).

---

### Part (c) Improving the Liquid Ratio

Any three of the following points (1 mark per valid point):
* Sell slow-moving or obsolete inventory for cash (this converts inventory, which is excluded from the liquid ratio, into cash, which is included).
* Sell surplus/unused non-current assets for cash.
* Issue additional ordinary shares for cash.
* Secure long-term finance (e.g., a long-term bank loan) to clear current liabilities.

**Part (a) [8 marks]**
* **(i)** 2 marks: 1 mark for correct working \((\$160,000 / \$480,000) \times 100\) and 1 mark for correct answer (33.33%).
* **(ii)** 2 marks: 1 mark for correct working \((\$52,000 / \$36,000)\) and 1 mark for correct answer (1.44:1).
* **(iii)** 2 marks: 1 mark for correct working \((\$48,000 / \$480,000) \times 365\) and 1 mark for correct answer (37 days or 36.5 days).
* **(iv)** 2 marks: 1 mark for correct average inventory calculation \(\$32,000\) and 1 mark for correct answer (37 days). Accept 46 days if closing inventory was used with correct working.

**Part (b) [4 marks]**
* 1 mark for stating that the liquid ratio has declined from 1.50:1 to 1.44:1.
* 1 mark for analyzing that liquidity is still acceptable/above the 1:1 benchmark.
* 1 mark for identifying that inventory turnover has slowed down from 28 to 37 days.
* 1 mark for linking slower inventory turnover to tied-up cash affecting the liquid ratio.

**Part (c) [3 marks]**
* 1 mark for each valid action suggested (up to a maximum of 3 marks).
* *Accept:* Selling slow-moving stock at a discount/for cash, issuing new shares, long-term loans, selling non-current assets.
* *Reject:* Simply "increasing credit control" unless linked to cash generation; reject "selling inventory" without specifying cash or cash equivalents generation.

**(a) Statement of Corrected Profit for the year ended 31 December 2023**

| Item | Adjustment ($) | Profit ($) |
| :--- | :---: | :---: |
| **Draft profit for the year** | | **136,000** |
| Less: Incorrect credit of sales revenue (machinery proceeds) | (14,500) | |
| Less: Loss on disposal of machinery | (3,500) | |
| Add: Excess depreciation written back | 3,000 | (15,000) |
| Less: Inventory write-down | (1,700) | (1,700) |
| **Corrected profit for the year** | | **119,300** |

**Workings for Part (a):**
- **Loss on Disposal of Machinery:**
\(\text{Net Book Value} = \text{Cost} - \text{Accumulated Depreciation} = \\$30,000 - \\$12,000 = \\$18,000\)
\(\text{Loss on Disposal} = \text{Net Book Value} - \text{Proceeds} = \\$18,000 - \\$14,500 = \\$3,500\)
- **Depreciation adjustment:**
Unadjusted cost in accounts = \$250,000. Draft depreciation = 10% of \$250,000 = \$25,000.
Correct cost of machinery at year-end = \$250,000 - \$30,000 = \$220,000.
Correct depreciation charge = 10% of \$220,000 = \$22,000.
Overstatement of depreciation = \$25,000 - \$22,000 = \$3,000 (which increases profit when corrected).
- **Inventory write-down:**
\(\text{Net Realisable Value (NRV)} = \text{Estimated Selling Price} - \text{Repairs} = \\$5,500 - \\$1,200 = \\$4,300\)
Since NRV (\$4,300) is less than cost (\$6,000), inventory must be written down by \$6,000 - \$4,300 = \$1,700.




**(b) Statement of Changes in Equity for the year ended 31 December 2023**

| Details | Ordinary Share Capital ($) | Share Premium ($) | General Reserve ($) | Retained Earnings ($) | Total Equity ($) |
| :--- | :---: | :---: | :---: | :---: | :---: |
| **Balance at 1 Jan 2023** | 300,000 | 60,000 | 40,000 | 95,000 | 495,000 |
| Bonus issue | 50,000 | (50,000) | - | - | - |
| Rights issue | 70,000 | 42,000 | - | - | 112,000 |
| Profit for the year | - | - | - | 119,300 | 119,300 |
| Transfer to general reserve | - | - | 20,000 | (20,000) | - |
| **Balance at 31 Dec 2023** | **420,000** | **52,000** | **60,000** | **194,300** | **726,300** |

**Workings for Part (b):**
- **Bonus issue:**
\(\text{Opening shares} = \\$300,000 / \\$0.50 = 600,000 \text{ shares}\)
\(\text{Bonus shares issued} = 600,000 / 6 = 100,000 \text{ shares}\)
\(\text{Value of bonus shares} = 100,000 \times \\$0.50 = \\$50,000\)
The issue is funded using the Share Premium account (debit Share Premium \$50,000, credit Share Capital \$50,000).
- **Rights issue:**
\(\text{Shares held before rights issue} = 600,000 + 100,000 = 700,000 \text{ shares}\)
\(\text{Rights shares issued} = 700,000 / 5 = 140,000 \text{ shares}\)
\(\text{Increase in Share Capital} = 140,000 \times \\$0.50 = \\$70,000\)
\(\text{Increase in Share Premium} = 140,000 \times (\\$0.80 - \\$0.50) = 140,000 \times \\$0.30 = \\$42,000\)
(This corrects the draft entries where \$112,000 was mistakenly credited to Share Capital only)

**Part (a) [6 marks]**
- 1 mark for removing incorrect Sales proceeds (\\-$14,500).
- 1 mark for correct calculation of Loss on Disposal (\\-$3,500).
- 2 marks for depreciation adjustment (1 mark for calculating correct depreciation of \$22,000, and 1 mark for reversing the excess \$3,000 depreciation).
- 1 mark for inventory write-down of \$1,700 (applying lower of cost and NRV).
- 1 mark for correct final corrected profit of \$119,300.

**Part (b) [9 marks]**
- 1 mark for establishing correct opening balances row.
- 2 marks for bonus issue row (1 mark for \$50,000 in Ordinary Share Capital column, 1 mark for \\-$50,000 in Share Premium column).
- 2 marks for rights issue row (1 mark for \$70,000 in Ordinary Share Capital column, 1 mark for \$42,000 in Share Premium column).
- 1 mark for Profit for the year row (\$119,300 entered in Retained Earnings column, OF from part (a)).
- 1 mark for Transfer to General Reserve row (\$20,000 in General Reserve column, \\-$20,000 in Retained Earnings column).
- 1 mark for correct closing balances in all columns (SC: \$420,000; SP: \$52,000; GR: \$60,000; RE: \$194,300).
- 1 mark for correct total column and total reconciliation (\$726,300).

Part (a)
Calculation of contribution per unit:
- Product A: $45 - ($12 + $16 + $5) = $12
- Product B: $55 - ($8 + $20 + $7) = $20
- Product C: $38 - ($20 + $8 + $2) = $8

Calculation of contribution per kg of material (limiting factor):
- Product A: $12 / 3 kg = $4.00 per kg
- Product B: $20 / 2 kg = $10.00 per kg
- Product C: $8 / 5 kg = $1.60 per kg

Ranking of products:
1st: Product B ($10.00 per kg)
2nd: Product A ($4.00 per kg)
3rd: Product C ($1.60 per kg)

Allocation of the 7,500 kg of available material:
1. Product B (Rank 1): 1,500 units * 2 kg = 3,000 kg (Remaining material = 4,500 kg)
2. Product A (Rank 2): 4,500 kg / 3 kg = 1,500 units (Remaining material = 0 kg)
3. Product C (Rank 3): 0 units

Optimum Production Mix:
- Product B: 1,500 units
- Product A: 1,500 units
- Product C: 0 units

Part (b)
Statement of Profit or Loss:
- Revenue:
- Product B: 1,500 units * $55 = $82,500
- Product A: 1,500 units * $45 = $67,500
- Total Revenue = $150,000
- Less Variable Costs:
- Product B: 1,500 units * $35 = $52,500
- Product A: 1,500 units * $33 = $49,500
- Total Variable Costs = $102,000
- Total Contribution: $150,000 - $102,000 = $48,000 (Or B: $30,000 + A: $18,000 = $48,000)
- Less Fixed Costs = $15,000
- Net Profit = $33,000

Part (c)
Quantitative analysis of purchasing premium material at $7 per kg:
- The premium price is $7 per kg, which is an increase of $3 per kg over the standard price ($4 per kg).
- Product A (Outstanding demand = 500 units):
- Material required: 500 units * 3 kg = 1,500 kg
- Increase in cost per unit: 3 kg * $3 = $9
- New contribution per unit: $12 - $9 = $3
- Since the new contribution is positive ($3), producing these 500 units is financially viable and will increase overall profit by 500 units * $3 = $1,500.
- Product C (Outstanding demand = 1,000 units):
- Material required: 1,000 units * 5 kg = 5,000 kg
- Increase in cost per unit: 5 kg * $3 = $15
- New contribution per unit: $8 - $15 = -$7
- Since the new contribution is negative (-$7), producing Product C is not financially viable and should not be undertaken.

Qualitative factors:
- Customer goodwill: Fulfilling the remaining demand for Product A prevents customers from buying from competitors, maintaining brand loyalty. Completely failing to supply Product C may lead to a permanent loss of clients for that product line.
- Quality of alternative material: The alternative raw material must meet the company's quality standards. Defective material could lead to wastage and customer returns.
- Supply reliability: Can the alternative supplier guarantee timely deliveries?
- Capacity constraints: Do we have enough labour hours available? Producing 500 extra units of Product A requires 1,000 extra labour hours (500 units * 2 hours).

Recommendation:
Zola Limited should purchase 1,500 kg of alternative material from the new supplier to produce the remaining 500 units of Product A only. This will increase the company's net profit from $33,000 to $34,500. They should not purchase material to manufacture Product C.

Part (d)
Advantages of marginal costing:
1. Simple to understand and operate; assists in short-term decision-making such as make-or-buy or special pricing decisions.
2. Avoids the arbitrary apportionment of fixed overhead costs, which can distort product profitability analysis.

Disadvantages of marginal costing:
1. It is difficult in practice to separate semi-variable costs accurately into purely fixed and variable categories.
2. Over-reliance on marginal costing for pricing can lead to selling products at a price that fails to recover fixed overheads in the long run.

Part (a) [Total: 12 marks]
- 3 marks: Contribution per unit for Product A, B, and C (1 mark each)
- 3 marks: Contribution per limiting factor (kg of material) for Product A, B, and C (1 mark each)
- 1 mark: Correct ranking of products (B, then A, then C)
- 3 marks: Calculations of material allocation for Product B (1 mark) and Product A (2 marks)
- 2 marks: Correct final optimum production mix (1 mark for Product B = 1,500 units, Product A = 1,500 units, and Product C = 0 units)

Part (b) [Total: 6 marks]
- 1 mark: Calculation of total revenue ($150,000)
- 1 mark: Calculation of total variable costs ($102,000)
- 2 marks: Total contribution calculated correctly ($48,000) (1 mark for method, 1 mark for accuracy)
- 1 mark: Deducting fixed costs ($15,000)
- 1 mark: Correct net profit ($33,000) (allow OF if contribution is incorrect but fixed costs applied correctly)

Part (c) [Total: 8 marks]
- 2 marks: Quantitative analysis of Product A (showing positive contribution of $3 per unit or $1,500 total)
- 2 marks: Quantitative analysis of Product C (showing negative contribution of -$7 per unit or -$7,000 total)
- 2 marks: Explanation of at least two relevant qualitative factors (e.g., customer relationships, supplier reliability, labour capacity constraints) (1 mark per factor)
- 2 marks: Clear recommendation based on calculations (1 mark for recommending Product A only, 1 mark for calculating new total profit of $34,500)

Part (d) [Total: 4 marks]
- 2 marks: Two valid advantages of marginal costing (1 mark each)
- 2 marks: Two valid disadvantages of marginal costing (1 mark each)