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1. **Rights Issue**:
- Existing shares = \(400,000\)
- Rights shares issued = \(400,000 \times 1/4 = 100,000\) shares.
- Nominal value of rights shares = \(100,000 \times $1 = $100,000\)
- Share premium on rights shares = \(100,000 \times $0.50 = $50,000\)
- New share capital = \($400,000 + $100,000 = $500,000\)
- New share premium = \($80,000 + $50,000 = $130,000\)

2. **Bonus Issue**:
- Shares before bonus issue = \(500,000\)
- Bonus shares issued = \(500,000 \times 1/10 = 50,000\) shares.
- Total nominal value of bonus shares = \(50,000 \times $1 = $50,000\).
- This must be funded from the share premium account first: \($130,000 - $50,000 = $80,000\) ending share premium.

3. **Retained Earnings**:
- Opening balance = \($150,000\)
- Add: Profit for the year = \($90,000\)
- Less: Dividends paid = \($30,000\)
- Ending balance = \($150,000 + $90,000 - $30,000 = $210,000\) (Note: Since the bonus issue was fully funded from the share premium account, retained earnings is unaffected by it).

Therefore, Share Premium is \($80,000\) and Retained Earnings is \($210,000\).

1 mark for the correct option (A).

Methodology:
- Calculate rights issue impact on share premium (+$50,000).
- Calculate bonus issue requirement ($50,000) and deduct from share premium.
- Calculate retained earnings by adding profit and subtracting dividend payments.

First, calculate raw materials consumed:
\(\text{Raw materials consumed} = \text{Opening inventory} + \text{Purchases} - \text{Closing inventory}\)
\(\text{Raw materials consumed} = $18,500 + $142,000 - $21,300 = $139,200\)

Next, calculate Prime Cost:
\(\text{Prime Cost} = \text{Raw materials consumed} + \text{Direct wages}\)
\(\text{Prime Cost} = $139,200 + $86,000 = $225,200\)

Next, calculate Cost of Production:
\(\text{Cost of Production} = \text{Prime Cost} + \text{Factory overheads} + \text{Opening WIP} - \text{Closing WIP}\)
\(\text{Cost of Production} = $225,200 + $64,000 + $12,400 - $14,100 = $287,500\)

Finally, calculate the Transfer Value with 20% factory profit:
\(\text{Transfer Value} = \text{Cost of Production} \times 1.20\)
\(\text{Transfer Value} = $287,500 \times 1.20 = $345,000\)

1 mark for the correct option (B).

Methodology:
- Calculate material cost consumed: $139,200
- Calculate prime cost: $225,200
- Calculate cost of production adjusted for WIP: $287,500
- Apply 20% markup to find transfer value: $345,000

The total subscription income to be recognized in the Income and Expenditure Account is:
\(250 \text{ members} \times $80 = $20,000\)

We can determine the closing subscriptions in arrears using a Subscriptions T-account:

**Debit Side:**
- Balance b/d (Opening Arrears): \($1,200\)
- Income & Expenditure (Current year dues): \($20,000\)
- Balance c/d (Closing Advance): \($1,400\)
- **Total Debit** = \($1,200 + $20,000 + $1,400 = $22,600\)

**Credit Side:**
- Balance b/d (Opening Advance): \($800\)
- Bank (Cash received): \($19,600\)
- Irrecoverable Subscriptions (Written off): \($400\)
- Balance c/d (Closing Arrears) [Balancing figure]: \(X\)

To balance the T-account:
\(\text{Total Credit} = \text{Total Debit}\)
\($800 + $19,600 + $400 + X = $22,600\)
\($20,800 + X = $22,600\)
\(X = $1,800\)

Therefore, subscriptions in arrears at 31 December 2022 are \($1,800\).

1 mark for the correct option (A).

Methodology:
- Recognize annual subscription income: $20,000.
- Prepare subscription T-account using opening and closing balances, receipts, and write-offs.
- Identify closing arrears as the balancing debit figure: $1,800.

1. **Allocation of Machine Setup Costs**:
- Total production runs = \(15 + 25 = 40\) runs
- Setup cost rate = \($80,000 / 40 = $2,000\) per run
- Setup costs allocated to Product X = \(15 \text{ runs} \times $2,000 = $30,000\)

2. **Allocation of Machinery Maintenance Costs**:
- Total machine hours for Product X = \(4,000 \text{ units} \times 2 \text{ hours} = 8,000\) hours
- Total machine hours for Product Y = \(6,000 \text{ units} \times 2 \text{ hours} = 12,000\) hours
- Total machine hours = \(8,000 + 12,000 = 20,000\) hours
- Maintenance cost rate = \($100,000 / 20,000 = $5\) per machine hour
- Maintenance costs allocated to Product X = \(8,000 \text{ hours} \times $5 = $40,000\)

3. **Total Budgeted Overheads for Product X**:
- \($30,000\) (setup) + \($40,000\) (maintenance) = \($70,000\)

4. **Overhead Cost per Unit of Product X**:
- \($70,000 / 4,000 \text{ units} = $17.50\) per unit

1 mark for the correct option (B).

Methodology:
- Calculate cost driver rates for setup ($2,000/run) and maintenance ($5/hour).
- Calculate total overhead allocated to Product X: $30,000 + $40,000 = $70,000.
- Divide by 4,000 units of Product X to get $17.50.

1. **Calculate target closing inventory of finished goods**:
- \(\text{Closing inventory} = \text{Opening inventory} \times 1.25 = 1,200 \times 1.25 = 1,500\) units

2. **Calculate required completed production of good units**:
- \(\text{Production needed} = \text{Sales} + \text{Closing inventory} - \text{Opening inventory}\)
- \(\text{Production needed} = 13,200 + 1,500 - 1,200 = 13,500\) units

3. **Calculate total units started (accounting for 10% defect rate)**:
- Since 10% of units started are rejected, the good completed units represent 90% of the total units started.
- \(\text{Units started} = \frac{\text{Completed good units}}{0.90} = \frac{13,500}{0.90} = 15,000\) units

1 mark for the correct option (B).

Methodology:
- Calculate target closing inventory: 1,500 units.
- Calculate required good completed units: 13,500 units.
- Adjust for 10% defect rate by dividing by 0.90 to find units started: 15,000 units.

To find the corrected Sales Ledger Control Account balance, we adjust the original control account balance of \($47,200\) for errors that affect the general ledger:

- **Draft SLCA Balance**: \($47,200\)
- **Error 1 (Sales Day Book undercast)**: \(+$270\) (the difference of \($850 - $580\) because both the journal and ledger are understated by this amount).
- **Error 2 (Discount allowed omission)**: \(-$120\) (the individual account was adjusted, but control account was not).
- **Error 3 (Bad debt write-off omission)**: \(-$430\) (the individual account was adjusted, but control account was not).
- **Error 4 (Cash receipt omission)**: \(-$900\) (omitted from the cash book and control account, but individual customer ledger was updated).

**Corrected SLCA Balance**:
\($47,200 + $270 - $120 - $430 - $900 = $46,020\)

*(Note: To verify, the corrected Sales Ledger Balances List = \($45,750 + $270 = $46,020\), which matches perfectly).*

1 mark for the correct option (A).

Methodology:
- Start with draft SLCA of $47,200.
- Add back the understated sales book invoice: +$270.
- Deduct omission of discount allowed: -$120.
- Deduct omission of bad debt written off: -$430.
- Deduct omission of cash received: -$900.

1. **Depreciation for 2020**:
- \($80,000 \times 20\% = $16,000\)
- Carrying Value at 31 Dec 2020 = \($80,000 - $16,000 = $64,000\)

2. **Depreciation for 2021**:
- \($64,000 \times 20\% = $12,800\)
- Carrying Value at 31 Dec 2021 = \($64,000 - $12,800 = $51,200\)

3. **Depreciation for 2022 (Year of Disposal)**:
- None is charged in the year of disposal. Thus, Carrying Value at disposal remains \($51,200\).

4. **Calculation of Profit/Loss on Disposal**:
- \(\text{Disposal Loss} = \text{Carrying Value} - \text{Sale Proceeds}\)
- \(\text{Disposal Loss} = $51,200 - $48,000 = $3,200\)

This results in a loss of \($3,200\).

1 mark for the correct option (A).

Methodology:
- Calculate carrying value at end of 2020: $64,000.
- Calculate carrying value at end of 2021: $51,200.
- Recognize no depreciation in year of disposal (2022).
- Compare $51,200 carrying value with $48,000 sale proceeds to find $3,200 loss.

1. **Determine Overhead Absorption Rates (OAR)**:
- Assembly OAR = \(\frac{\text{Budgeted overheads}}{\text{Budgeted machine hours}} = \frac{$120,000}{15,000} = $8.00\) per machine hour.
- Finishing OAR = \(\frac{\text{Budgeted overheads}}{\text{Budgeted direct labour hours}} = \frac{$80,000}{8,000} = $10.00\) per direct labour hour.

2. **Calculate Absorbed Overheads**:
- Assembly Absorbed = \(14,600 \text{ actual machine hours} \times $8.00 = $116,800\).
- Finishing Absorbed = \(8,500 \text{ actual labour hours} \times $10.00 = $85,000\).

3. **Compare with Actual Overheads for each department**:
- **Assembly**:
- Actual overheads: \($118,500\)
- Absorbed overheads: \($116,800\)
- Under-absorbed overheads = \($118,500 - $116,800 = $1,700\) (under)
- **Finishing**:
- Actual overheads: \($83,200\)
- Absorbed overheads: \($85,000\)
- Over-absorbed overheads = \($85,000 - $83,200 = $1,800\) (over)

4. **Net Business-wide Position**:
- \($1,800\) (over) - \($1,700\) (under) = \($100\) over-absorbed.

1 mark for the correct option (A).

Methodology:
- Calculate OARs: Assembly $8.00/machine hour, Finishing $10.00/labour hour.
- Calculate absorbed overheads: Assembly $116,800, Finishing $85,000.
- Find net variance: $1,700 under-absorbed vs. $1,800 over-absorbed = $100 over-absorbed.

1. Find the number of shares in issue on 1 January 2023:
\( \text{Shares} = \frac{\$400,000}{\$0.50} = 800,000 \text{ shares} \).

2. Calculate shares issued under the rights issue:
\( 800,000 \times \frac{1}{4} = 200,000 \text{ shares} \).

3. Calculate total shares in issue after the rights issue:
\( 800,000 + 200,000 = 1,000,000 \text{ shares} \).

4. Calculate the interim dividend paid on 1 October:
\( 1,000,000 \times \$0.05 = \$50,000 \).

5. Reconcile the Retained Earnings balance:
Opening Retained Earnings: \( \$150,000 \)
Add: Profit for the year: \( +\$115,000 \)
Less: Dividend paid: \( -\$50,000 \)
Less: Transfer to general reserve: \( -\$20,000 \)
Closing Retained Earnings: \( \$150,000 + \$115,000 - \$50,000 - \$20,000 = \$195,000 \).

1 mark for correct selection of Option A. Method uses the correct number of total shares for dividends and adjusts retained earnings correctly for profit, dividend, and general reserve.

1. Calculate factory profit on transfers:
\( \text{Factory Profit} = \text{Transfer Price} \times \frac{\text{Mark-up}}{100 + \text{Mark-up}} \)
\( \text{Factory Profit} = \$960,000 \times \frac{20}{120} = \$160,000 \).

2. Calculate provision for unrealised profit on 31 December 2023:
\( \text{Provision} = \text{Closing Inventory at Transfer Price} \times \frac{20}{120} \)
\( \text{Provision} = \$168,000 \times \frac{20}{120} = \$28,000 \).

1 mark for correct selection of Option A. Method correctly applies the mark-up on cost percentage (20/120) to find the profit element.

We can calculate the subscription income for 2023 by adjusting the receipts for cash matching 2023 only, or using a Subscriptions Account:

Using the Subscriptions Account:
Debit side:
- Balance b/fwd (Arrears 1 Jan 2023): \( \$1,200 \)
- Income & Expenditure Account (Income for 2023): \( X \)
- Balance c/fwd (Advance 31 Dec 2023): \( \$500 \)

Credit side:
- Balance b/fwd (Advance 1 Jan 2023): \( \$800 \)
- Bank (Receipts): \( \$18,400 \)
- Irrecoverable subscriptions written off: \( \$300 \) (which is the original opening arrears of \( \$1,200 \) less the \( \$900 \) collected)
- Balance c/fwd (Arrears 31 Dec 2023): \( \$1,400 \)

Equating both sides:
\( \$1,200 + X + \$500 = \$800 + \$18,400 + \$300 + \$1,400 \)
\( X + \$1,700 = \$20,900 \)
\( X = \$19,200 \).

1 mark for correct selection of Option A. Method accounts correctly for the written-off arrears and the opening/closing adjustments.

1. Calculate cost driver rates:
- Setup cost rate = \( \frac{\$40,000}{10 + 30} = \frac{\$40,000}{40} = \$1,000 \text{ per setup} \).
- Inspection cost rate = \( \frac{\$40,000}{25 + 15} = \frac{\$40,000}{40} = \$1,000 \text{ per inspection} \).

2. Allocate overheads to Product X:
- Setup cost allocated to X = \( 10 \times \$1,000 = \$10,000 \).
- Inspection cost allocated to X = \( 25 \times \$1,000 = \$25,000 \).
- Total overheads allocated to X = \( \$10,000 + \$25,000 = \$35,000 \).

3. Calculate overhead cost per unit of X:
- \( \frac{\$35,000}{1,000 \text{ units}} = \$35.00 \text{ per unit} \).

4. Calculate total unit cost of X:
- Direct costs of X = \( \text{Direct Materials} \, (\$15) + \text{Direct Labour} \, (\$10) = \$25.00 \).
- Total Cost per unit = \( \$25.00 + \$35.00 = \$60.00 \).

1 mark for correct selection of Option B. Method calculates driver rates and unit overhead allocations correctly and adds unit direct costs.

1. Calculate monthly production requirements (in kg):
- October: \( 6,000 \times 3 = 18,000 \text{ kg} \)
- November: \( 8,000 \times 3 = 24,000 \text{ kg} \)
- December: \( 10,000 \times 3 = 30,000 \text{ kg} \)

2. Calculate inventory requirements:
- Opening inventory for November (equal to closing inventory of October):
\( 20\% \times 24,000 \text{ kg (November requirement)} = 4,800 \text{ kg} \).
- Closing inventory for November:
\( 20\% \times 30,000 \text{ kg (December requirement)} = 6,000 \text{ kg} \).

3. Calculate November purchases:
- \( \text{Purchases} = \text{Production Requirements} + \text{Closing Inventory} - \text{Opening Inventory} \)
- \( \text{Purchases} = 24,000 \text{ kg} + 6,000 \text{ kg} - 4,800 \text{ kg} = 25,200 \text{ kg} \).

1 mark for correct selection of Option C. Method calculates inventory targets based on the correct month's requirements and applies the purchases formula correctly.

1. Calculate the corrected cash book balance (which equals the adjusted bank statement balance):
- Balance as per bank statement: \( -\$4,500 \) (overdrawn)
- Add: Outstanding lodgements: \( +\$2,100 \)
- Less: Unpresented cheques: \( -\$1,200 \)
- Adjusted balance = \( -\$4,500 + \$2,100 - \$1,200 = -\$3,600 \) (or \( \$3,600 \) overdrawn).

2. Work backwards to find the draft cash book balance before adjustment:
- Corrected cash book balance = \( -\$3,600 \)
- This was after deducting bank charges and direct debit.
- Therefore, draft cash book balance = \( -\$3,600 + \$150 + \$350 = -\$3,100 \) (or \( \$3,100 \) overdrawn).

1 mark for correct selection of Option A. Method reconciles bank statement balance to corrected cash book, then correctly reverses cash book adjustments to find the original draft balance.

1. Calculate Net Book Value (NBV) on 1 January 2023:
- Cost (1 Jan 2021): \( \$80,000 \)
- Yr 1 Depreciation (2021): \( \$80,000 \times 20\% = \$16,000 \)
- NBV on 31 Dec 2021: \( \$64,000 \)
- Yr 2 Depreciation (2022): \( \$64,000 \times 20\% = \$12,800 \)
- NBV on 31 Dec 2022 / 1 Jan 2023: \( \$64,000 - \$12,800 = \$51,200 \).

2. Calculate straight-line depreciation for 2023:
- Depreciable amount = \( \text{NBV on 1 Jan 2023} - \text{Residual Value} \)
- Depreciable amount = \( \$51,200 - \$6,000 = \$45,200 \)
- Depreciation for 2023 = \( \frac{\$45,200}{4 \text{ years}} = \$11,300 \).

1 mark for correct selection of Option B. Method correctly calculates the carrying value at transition date and applies straight-line depreciation prospectively over remaining life.

1. Calculate absorbed fixed overheads:
\( \text{Absorbed Overheads} = \text{Actual Hours} \times \text{Predetermined OAR} \)
\( \text{Absorbed Overheads} = 21,500 \text{ hours} \times \$12.50 = \$268,750 \).

2. Calculate the over or under-absorption:
\( \text{Difference} = \text{Absorbed Overheads} - \text{Actual Overheads} \)
\( \text{Difference} = \$268,750 - \$262,000 = \$6,750 \).

Since absorbed overheads (\( \$268,750 \)) are greater than actual overheads (\( \$262,000 \)), overheads were over-absorbed by \( \$6,750 \).

1 mark for correct selection of Option A. Method absorbs based on actual hours and compares with actual overheads to identify over-absorption.

1. Nominal value of shares = \(200,000 \times \$0.50 = \$100,000\).
2. Premium per share = \(\$0.50 \times 30\% = \$0.15\).
3. Total Share Premium = \(200,000 \times \$0.15 = \$30,000\).
4. Total Bank (cash received) = \(200,000 \times \$0.65 = \$130,000\).

1 mark for the correct combination of Share Premium ($30,000) and Bank ($130,000).

1. Cost of raw materials consumed = Opening Inventory ($18,500) + Purchases ($142,000) + Carriage Inwards ($3,500) - Closing Inventory ($19,200) = $144,800.
2. Prime Cost = Raw Materials Consumed ($144,800) + Direct Wages ($84,000) + Royalties ($5,000) = $233,800.

1 mark for correct calculation of prime cost.

Using a Subscription T-account:
Debit side:
- Opening Arrears: $1,200
- Income & Expenditure (Balancing figure): $28,700
- Closing Advance: $1,100
Total Debits: $31,000

Credit side:
- Opening Advance: $800
- Receipts: $28,400
- Written off: $300
- Closing Arrears: $1,500
Total Credits: $31,000

Thus, Subscription Income = $28,700.

1 mark for correct calculation of subscription income.

1. Total setups = \(40 + 20 = 60\).
2. Cost per setup = \(\$60,000 / 60 = \$1,000\).
3. Setup cost allocated to Product Y = \(20 \text{ setups} \times \$1,000 = \$20,000\).
4. Setup cost per unit of Y = \(\$20,000 / 2,000 \text{ units} = \$10\).

1 mark for correct calculation of setup cost per unit of Y.

Credit Sales:
- March: \(\$80,000 \times 80\% = \$64,000\)
- April: \(\$90,000 \times 80\% = \$72,000\)
- May: \(\$100,000 \times 80\% = \$80,000\)

Cash received from credit customers in May:
- From May sales: \(\$80,000 \times 40\% \times 98\% = \$31,360\)
- From April sales: \(\$72,000 \times 50\% = \$36,000\)
- From March sales: \(\$64,000 \times 8\% = \$5,120\)
Total = \(\$31,360 + \$36,000 + \$5,120 = \$72,480\).

1 mark for correct calculation of cash receipts from credit customers.

1. Corrected Purchase Ledger Control Account balance:
\(\$45,200\) (draft balance) + \(\$300\) (undercast purchases) - \(\$150\) (omitted credit note) = \(\$45,350\).
2. Corrected List of Supplier Balances:
\(\$45,590\) (draft balance) - \(\$90\) (payment under-recorded: \(\$650 - \$560\)) - \(\$150\) (omitted credit note) = \(\$45,350\).

1 mark for correct calculation of reconciled balance.

1. Depreciation for 2021: \(\$80,000 \times 20\% = \$16,000\).
2. Net Book Value (NBV) at 31 Dec 2021: \(\$80,000 - \$16,000 = \$64,000\).
3. Depreciation for 2022: \(\$64,000 \times 20\% = \$12,800\).
4. NBV at 31 Dec 2022: \(\$64,000 - \$12,800 = \$51,200\).
5. Year of disposal (2023): No depreciation is charged. Therefore, NBV at disposal is \(\$51,200\).
6. Loss on disposal = NBV ($51,200) - Sale proceeds ($48,000) = $3,200 loss.

1 mark for correct loss on disposal calculation.

1. Predetermined overhead absorption rate (OAR) = \(\$360,000 / 45,000 \text{ hours} = \$8.00\) per machine hour.
2. Overheads absorbed = \(48,000 \text{ actual hours} \times \$8.00 = \$384,000\).
3. Overheads absorbed ($384,000) exceed actual overheads incurred ($375,000) by \(\$9,000\). This represents an over-absorption of \(\$9,000\).

1 mark for correct absorption variance calculation and identification as over-absorbed.

1. Initial number of ordinary shares: \( \frac{\$100,000}{\$0.50} = 200,000 \) shares.
2. Bonus issue (1 for 5): \( \frac{200,000}{5} = 40,000 \) shares.
Nominal value of bonus shares: \( 40,000 \times \$0.50 = \$20,000 \).
To finance this, the share premium account is used first: \( \$40,000 - \$20,000 = \$20,000 \) remaining.
Total ordinary shares now = \( 200,000 + 40,000 = 240,000 \) shares.
3. Rights issue (1 for 4): \( \frac{240,000}{4} = 60,000 \) shares.
Premium per share on rights issue: \( \$1.20 - \$0.50 = \$0.70 \).
Total premium generated: \( 60,000 \times \$0.70 = \$42,000 \).
4. Final share premium balance: \( \$20,000 + \$42,000 = \$62,000 \).

1 mark for the correct answer of $62,000.
Method breakdown:
- Calculate bonus shares and nominal value ($20,000).
- Subtract from existing share premium (remaining $20,000).
- Calculate rights shares (60,000) and premium per share ($0.70).
- Add rights premium ($42,000) to find the final balance of $62,000.

1. Calculate transfer price of goods manufactured during 2022: \( \$180,000 \times 1.25 = \$225,000 \).
Factory profit on transfer = \( \$225,000 - \$180,000 = \$45,000 \).
2. Calculate opening provision for unrealised profit (PUP): \( \$45,000 \times \frac{25}{125} = \$9,000 \).
3. Calculate closing PUP: \( \$60,000 \times \frac{25}{125} = \$12,000 \).
4. Increase in PUP = \( \$12,000 - \$9,000 = \$3,000 \).
5. Net factory profit credited to income statement = Factory profit on transfer - Increase in PUP = \( \$45,000 - \$3,000 = \$42,000 \).

1 mark for the correct answer of $42,000.
Method breakdown:
- Calculate factory profit for the year ($45,000).
- Correctly calculate opening and closing PUP using the markup formula ($9,000 and $12,000).
- Deduct the increase in PUP of $3,000 from the transfer profit of $45,000 to arrive at $42,000.

Let us prepare the Subscriptions Account:
Debit side:
- Balance b/d (opening arrears): $1,000
- Income & Expenditure Account (transfer): \( X \)
- Balance c/d (closing advance): $1,200
Total Debits = \( \$2,200 + X \)

Credit side:
- Balance b/d (opening advance): $600
- Bank (received): $24,500
- Irrecoverable subscriptions: $200
- Balance c/d (closing arrears): $1,400
Total Credits = \( \$600 + \$24,500 + \$200 + \$1,400 = \$26,700 \)

Solving for \( X \):
\( \$2,200 + X = \$26,700 \Rightarrow X = \$24,500 \).

Alternatively, logically:
Cash received for 2022: \( \$24,500 - \$800 \text{ (for 2021)} - \$1,200 \text{ (for 2023)} = \$22,500 \).
Add: Subscriptions received in advance during 2021 for 2022: $600.
Add: Subscriptions in arrears for 2022: $1,400.
Total subscriptions belonging to 2022: \( \$22,500 + \$600 + \$1,400 = \$24,500 \).

1 mark for the correct answer of $24,500.
Method breakdown:
- Recognize that opening arrears written off ($200) and opening arrears received ($800) clear the total opening arrears of $1,000.
- Calculate the 2022 earned income portion by adjusting cash received for the opening advance (add $600), closing advance (deduct $1,200), and closing arrears (add $1,400).

1. Calculate overhead rates for each cost driver:
- Setup rate: \( \frac{\$80,000}{12 + 8} = \frac{\$80,000}{20} = \$4,000 \) per setup.
- Quality inspection rate: \( \frac{\$40,000}{8 + 12} = \frac{\$40,000}{20} = \$2,000 \) per inspection.
2. Allocate overheads to Product X:
- Setups: \( 12 \times \$4,000 = \$48,000 \)
- Inspections: \( 8 \times \$2,000 = \$16,000 \)
- Total overhead allocated to Product X: \( \$48,000 + \$16,000 = \$64,000 \).
3. Calculate overhead cost per unit of Product X:
- Overhead cost per unit: \( \frac{\$64,000}{2,000 \text{ units}} = \$32.00 \).

1 mark for the correct answer of $32.00.
Method breakdown:
- Determine setup driver rate ($4,000) and quality inspection driver rate ($2,000).
- Allocate overhead to Product X ($64,000 total).
- Divide by 2,000 units of Product X to get $32.00.

1. Cash sales in November (40% of November sales): \( 40\% \times \$120,000 = \$48,000 \).
2. Cash from November credit sales (60% of November sales is credit = $72,000):
- 50% collected in November: \( 50\% \times \$72,000 = \$36,000 \).
- Minus 2% cash discount: \( \$36,000 \times (1 - 0.02) = \$35,280 \).
3. Cash from October credit sales (60% of October sales is credit = $60,000):
- 45% collected in November (the month following sale): \( 45\% \times \$60,000 = \$27,000 \).
4. Total cash receipts in November = \( \$48,000 \text{ (cash sales)} + \$35,280 \text{ (Nov credit sales)} + \$27,000 \text{ (Oct credit sales)} = \$110,280 \).

1 mark for the correct answer of $110,280.
Method breakdown:
- Calculate cash sales for November ($48,000).
- Calculate November credit sales ($72,000), 50% thereof ($36,000), and apply the 2% discount ($35,280).
- Calculate October credit sales ($60,000) and the 45% collected in November ($27,000).
- Sum these three parts: \( \$48,000 + \$35,280 + \$27,000 = \$110,280 \).

1. Calculate carrying value on 1 January 2021 (before revaluation):
- Annual depreciation (2019 and 2020) = \( \$8,000 \times 2 \text{ years} = \$16,000 \).
- Carrying value = \( \$80,000 - \$16,000 = \$64,000 \).
2. Revaluation on 1 January 2021: machinery is revalued to $90,000.
3. Calculate annual depreciation post-revaluation (for 2021 and 2022):
- Depreciation per annum = \( \frac{\$90,000}{8 \text{ years}} = \$11,250 \) per annum.
- Accumulated depreciation for 2021 and 2022 = \( \$11,250 \times 2 = \$22,500 \).
4. Calculate carrying value on date of disposal (31 December 2022):
- Carrying value = \( \$90,000 - \$22,500 = \$67,500 \).
5. Profit/Loss on disposal = Disposal Proceeds - Carrying Value = \( \$65,000 - \$67,500 = \$2,500 \) loss.

1 mark for the correct answer of $2,500 loss.
Method breakdown:
- Calculate depreciation to 31 Dec 2020 ($16,000) and carrying value ($64,000).
- Use the revalued figure of $90,000 and divide by 8 to get new annual depreciation ($11,250).
- Deduct 2 years of new depreciation to get carrying value at disposal ($67,500).
- Compare with sales proceeds of $65,000 to find a loss of $2,500.

### (a) Vanguard Manufacturers - Manufacturing Account for the year ended 31 December 2023

- **Opening Inventory of Raw Materials:** $45,000
- **Add: Purchases of Raw Materials:** $210,000
- **Add: Carriage Inwards:** $8,500
- **Less: Closing Inventory of Raw Materials:** ($38,000)
- **Cost of Raw Materials Consumed:** $225,500
- **Direct Factory Wages:** $115,000 + $6,000 (accrued) = $121,000
- **PRIME COST:** $225,500 + $121,000 = **$346,500**

**Factory Overheads:**
- **Indirect Factory Wages:** $48,000 + $2,500 = $50,500
- **Factory Supervisor Salary:** $32,000
- **Factory Heat and Power:** $24,000 - $3,000 = $21,000
- **Factory Insurance:** $18,000
- **Depreciation - Plant & Machinery:** 15% \times ($150,000 - $60,000) = $13,500
- **Total Factory Overheads:** $135,000

- **Total Manufacturing Costs:** $346,500 + $135,000 = $481,500
- **Add: Opening Work in Progress:** $28,000
- **Less: Closing Work in Progress:** ($31,000)
- **Cost of Production:** **$478,500**
- **Factory Profit (20%):** 20% \times $478,500 = **$95,700**
- **Transfer Value of Finished Goods:** **$574,200**

### (b) Trading Account section of the Income Statement for the year ended 31 December 2023
- **Revenue:** $680,000
- **Cost of Sales:**
- **Opening Inventory of Finished Goods (at transfer price):** $72,000
- **Add: Transfer Value of Finished Goods:** $574,200
- **Less: Closing Inventory of Finished Goods (at transfer price):** ($84,000)
- **Cost of Sales:** ($562,200)
- **Gross Profit:** **$117,800**

### (c) Provision for Unrealised Profit
- **SFP Treatment:** The closing provision for unrealised profit of $14,000 (calculated as $84,000 - ($84,000 / 1.20)) is deducted from the closing inventory of finished goods at transfer price ($84,000). The finished goods inventory is shown in the current assets section of the Statement of Financial Position at its cost of $70,000.
- **Reasoning:** This treatment complies with the realization and prudence concepts, ensuring that the business does not anticipate profits or overvalue its assets. Group and entity statements must only show profits realized outside the business entity.

### (a) Manufacturing Account [12 marks total]
- Raw materials consumed calculation: $225,500 [1 mark for workings, 1 mark for answer]
- Direct factory wages: $121,000 [1 mark]
- Prime cost: $346,500 [1 mark (consequential on raw materials & wages)]
- Overheads:
- Indirect wages: $50,500 [1 mark]
- Heat and power: $21,000 [1 mark]
- Depreciation: $13,500 [1 mark]
- Supervisor salary & Insurance: $50,000 [1 mark for both combined]
- Total Overheads: $135,000 [1 mark]
- WIP adjustments: +$28,000 - $31,000 [1 mark]
- Cost of production: $478,500 [1 mark]
- Factory Profit and Transfer Value: $95,700 and $574,200 [1 mark]

### (b) Trading Account [6.5 marks total]
- Revenue: $680,000 [0.5 mark]
- Opening inventory (transfer price): $72,000 [1 mark]
- Add Transfer Value: $574,200 [1 mark (consequential)]
- Less Closing inventory (transfer price): $84,000 [1 mark]
- Cost of sales: $562,200 [1.5 marks (consequential)]
- Gross Profit: $117,800 [1.5 marks (consequential)]

### (c) SFP Treatment explanation [4 marks total]
- Identify provision amount of $14,000 [1 mark]
- Deduct provision from closing inventory in SFP to show cost at $70,000 [1 mark]
- Mention prudence / realization concept [1 mark]
- Explain that internal profits cannot be recognized until sold to third parties [1 mark]

### (a) Traditional Costing
- **Total direct labour hours:**
- Alpha: 8,000 \times 1.5 = 12,000 hours
- Beta: 4,000 \times 1.5 = 6,000 hours
- Total hours = 18,000 hours
- **Overhead Absorption Rate (OAR):** $180,000 / 18,000 hours = **$10 per hour**
- **Overhead cost per unit:**
- Alpha: 1.5 hours \times $10 = $15.00 per unit
- Beta: 1.5 hours \times $10 = $15.00 per unit
- **Total Unit Cost:**
- **Alpha:** Direct Materials ($12) + Direct Labour ($24) + Overheads ($15) = **$51.00**
- **Beta:** Direct Materials ($18) + Direct Labour ($24) + Overheads ($15) = **$57.00**

### (b) Activity Based Costing (ABC)
- **Cost Driver Rates:**
1. Machine Setups: $84,000 / 280 setups = **$300 per setup**
2. Quality Inspections: $60,000 / 500 inspections = **$120 per inspection**
3. Material Handling: $36,000 / 360 movements = **$100 per movement**

- **Overhead Allocation to Alpha:**
- Setups: 120 \times $300 = $36,000
- Inspections: 200 \times $120 = $24,000
- Material Handling: 150 \times $100 = $15,000
- Total Overhead for Alpha = $75,000
- Overhead per unit (Alpha) = $75,000 / 8,000 units = **$9.375 per unit**
- **Overhead Allocation to Beta:**
- Setups: 160 \times $300 = $48,000
- Inspections: 300 \times $120 = $36,000
- Material Handling: 210 \times $100 = $21,000
- Total Overhead for Beta = $105,000
- Overhead per unit (Beta) = $105,000 / 4,000 units = **$26.25 per unit**

- **Total ABC Unit Cost:**
- **Alpha:** Direct Materials ($12.00) + Direct Labour ($24.00) + ABC Overhead ($9.375) = **$45.375** (or $45.38)
- **Beta:** Direct Materials ($18.00) + Direct Labour ($24.00) + ABC Overhead ($26.25) = **$68.25**

### (c) Advice
- **Recommendation:** AeroParts Ltd should switch to ABC because the products consume resource drivers in vastly different volumes. Traditional costing undercosts product Beta (by $11.25) and overcosts product Alpha (by $5.625).
- **Advantages:**
1. Provides more accurate product costing which improves pricing decisions.
2. Identifies non-value-adding activities to enable cost-reduction strategies.
- **Disadvantages:**
1. Extremely expensive and complex to implement and maintain.
2. Difficult to select the single best cost driver for certain general cost pools.

### (a) Traditional Costing [8 marks total]
- Calculating total labour hours (18,000): [1 mark]
- Calculating OAR ($10): [2 marks]
- Direct cost calculations (Materials + Labour = $36): [1 mark]
- Overhead per unit for Alpha and Beta ($15): [1 mark for each]
- Total unit cost Alpha ($51): [1 mark]
- Total unit cost Beta ($57): [1 mark]

### (b) ABC Costing [10.5 marks total]
- Setup rate ($300): [1 mark]
- Inspection rate ($120): [1 mark]
- Movement rate ($100): [1 mark]
- Alpha overhead allocation ($75,000 total or split): [1.5 marks]
- Beta overhead allocation ($105,000 total or split): [1.5 marks]
- Unit overhead rate Alpha ($9.375): [1 mark]
- Unit overhead rate Beta ($26.25): [1 mark]
- Final ABC Unit Cost Alpha ($45.38): [1 mark]
- Final ABC Unit Cost Beta ($68.25): [1 mark]

### (c) Advice and Evaluation [4 marks total]
- 1 mark for explicit advice/recommendation.
- 1 mark for stating two advantages.
- 1 mark for stating two disadvantages.
- 1 mark for referencing specific numerical undercosting/overcosting results from part a/b.

### (a) Midland Tennis Club - Tennis Shop Trading Account for the year ended 31 December 2023
- **Shop Sales:** $12,400
- **Cost of Sales:**
- **Opening Inventory:** $1,400
- **Add: Shop Purchases:** $7,800 + $600 (accrued) = $8,400
- **Less: Closing Inventory:** ($1,900)
- **Cost of Goods Sold:** ($7,900)
- **Gross Profit:** **$4,500**
- **Less Expenses:**
- **Rent Apportionment (20%):**
- Total Rent Expense = $15,000 (Paid) + $1,500 (Op. prepaid) - $1,200 (Cl. prepaid) = $15,300
- Shop rent: 20% \times $15,300 = $3,060
- **Net Profit from Tennis Shop:** **$1,440**

### (b) Subscriptions Account for the year ended 31 December 2023
```
Dr Cr
-----------------------------------------------------------------
Bal b/d (Arrears 1 Jan) 1,200 | Bal b/d (Advance 1 Jan) 800
I & E (Income for year) 27,100 | Bank (Cash received) 26,800
Bal c/d (Advance 31 Dec) 1,100 | Irrecoverable Subs 300
| Bal c/d (Arrears 31 Dec) 1,500
---------------------------------+-------------------------------
29,400 | 29,400
```
- **Subscriptions Income for the Year:** **$27,100**

### (c) Income and Expenditure Account for the year ended 31 December 2023
**Income:**
- Subscriptions Income: $27,100
- Profit from Tennis Shop: $1,440
- Profit on Social Events ($5,600 - $3,200): $2,400
- **Total Income:** **$30,940**

**Expenditure:**
- Rent Expense (80% court space): 80% \times $15,300 = $12,240
- Club Secretary Honorarium: $3,500
- General Administrative Expenses: $4,100
- Depreciation - Tennis Equipment ($24,000 + $6,000 - $22,500): $7,500
- Irrecoverable Subscriptions: $300
- **Total Expenditure:** **$27,640**

- **Surplus of Income over Expenditure:** **$3,300**

### (a) Shop Trading Account [6.5 marks total]
- Sales: $12,400 [0.5 mark]
- Cost of Goods Sold calculations: Opening ($1,400) + Adjusted Purchases ($8,400) - Closing ($1,900) = $7,900 [2 marks]
- Gross Profit: $4,500 [1 mark]
- Total rent expense calculation ($15,300): [1 mark]
- Shop rent apportionment ($3,060): [1 mark]
- Net profit calculation ($1,440): [1 mark (consequential)]

### (b) Subscriptions Account [6 marks total]
- Debit opening balance ($1,200) and Credit closing balance ($1,500): [1 mark]
- Credit opening balance ($800) and Debit closing balance ($1,100): [1 mark]
- Receipts ($26,800): [1 mark]
- Irrecoverable subscriptions ($300): [1 mark]
- Arithmetic balancing to yield $27,100: [2 marks]

### (c) Income & Expenditure Account [10 marks total]
- Subscriptions: $27,100 [1 mark (consequential)]
- Shop profit: $1,440 [1 mark (consequential)]
- Social event net income: $2,400 [1 mark]
- Court Rent: $12,240 [1 mark]
- Secretary Honorarium: $3,500 [1 mark]
- General expenses: $4,100 [1 mark]
- Depreciation on equipment: $7,500 [2 marks (1 for formula, 1 for value)]
- Irrecoverable subscriptions: $300 [1 mark]
- Surplus of $3,300: [1 mark (consequential on no omissions)]

### (a) Sales Budget and Production Budget (Jan - Mar 2024)

**Sales Budget:**
- January: 1,200 units \times $150 = **$180,000**
- February: 1,500 units \times $150 = **$225,000**
- March: 1,800 units \times $150 = **$270,000**
- *Total Q1 Sales Budget:* **$675,000**

**Production Budget (units):**
- **January:** Sales (1,200) + Cl. Inventory (20% \times 1,500 = 300) - Op. Inventory (240) = **1,260 units**
- **February:** Sales (1,500) + Cl. Inventory (20% \times 1,800 = 360) - Op. Inventory (300) = **1,560 units**
- **March:** Sales (1,800) + Cl. Inventory (20% \times 2,000 = 400) - Op. Inventory (360) = **1,840 units**
- *Note for April production (needed for March closing RM calculation):*
- **April:** Sales (2,000) + Cl. Inventory (20% \times 2,200 = 440) - Op. Inventory (400) = **2,040 units**

### (b) Material Purchases Budget (Jan - Mar 2024)
- **Timber Requirements for Production (kg):**
- January: 1,260 units \times 3 kg = 3,780 kg
- February: 1,560 units \times 3 kg = 4,680 kg
- March: 1,840 units \times 3 kg = 5,520 kg
- April: 2,040 units \times 3 kg = 6,120 kg

**Purchases Budget (kg):**
- **January:** Req. (3,780) + Cl. RM (10% \times 4,680 = 468) - Op. RM (360) = **3,888 kg**
- **February:** Req. (4,680) + Cl. RM (10% \times 5,520 = 552) - Op. RM (468) = **4,764 kg**
- **March:** Req. (5,520) + Cl. RM (10% \times 6,120 = 612) - Op. RM (552) = **5,580 kg**

**Purchases Budget ($ at $8 per kg):**
- **January:** 3,888 kg \times $8 = **$31,104**
- **February:** 4,764 kg \times $8 = **$38,112**
- **March:** 5,580 kg \times $8 = **$44,640**
- *Total Q1 Purchase Cost:* **$113,856**

### (c) Reasons for preparing budgets
1. **Planning:** Forces managers to plan ahead systematically and formalise long-term strategies.
2. **Coordination:** Brings together various functional areas (sales, production, purchasing) to work towards common targets.
3. **Control:** Allows actual results to be compared with budgeted figures so variances can be analyzed and corrected.
4. **Motivation:** Set targets motivate workers and managers to meet organizational goals.

### (d) Master Budget vs Functional Budget
- **Functional Budgets:** Individual budgets prepared for specific functions or departments of the business (e.g., Sales budget, Production budget, Purchasing budget).
- **Master Budget:** The consolidated final budget document that incorporates all functional budgets into a summary format, typically containing the budgeted Income Statement, budgeted Statement of Financial Position, and Cash Budget.

### (a) Sales and Production Budgets [6.5 marks total]
- Sales budget (Jan, Feb, Mar values + Total): [1.5 marks]
- January production calculation (1,260): [1.5 marks]
- February production calculation (1,560): [1.5 marks]
- March production calculation (1,840): [2 marks]

### (b) Material Purchases Budget [8 marks total]
- Calculation of monthly production requirements in kg (3,780, 4,680, 5,520, 6,120): [2 marks]
- January Purchases (3,888 kg and $31,104): [2 marks]
- February Purchases (4,764 kg and $38,112): [2 marks]
- March Purchases (5,580 kg and $44,640): [2 marks]

### (c) Reasons for Budgets [4 marks total]
- 1 mark for each valid reason stated and briefly explained (Planning, Coordination, Control, Motivation, Communication, Resource Allocation) up to 4 marks.

### (d) Master vs Functional Budgets [4 marks total]
- 2 marks for defining functional budgets with examples.
- 2 marks for defining the master budget and its typical components (budgeted financial statements).

(a) Subscriptions Account:
Debit side:
- Balance b/d (outstanding at start): $1,200
- Income & Expenditure Account (transfer): $15,100
- Balance c/d (received in advance at end): $600
Total Debit = $16,900

Credit side:
- Balance b/d (received in advance at start): $800
- Bank (subscriptions received): $14,500
- Irrecoverable subscriptions (written off): $200
- Balance c/d (outstanding at end): $1,400
Total Credit = $16,900

(b) Shop Trading Account for the year ended 31 December 2023:
Shop Sales: $18,400
Less: Cost of Sales:
Opening Inventory: $1,800
Add: Shop Purchases: $11,200
Less: Closing Inventory: ($2,100)
Cost of Goods Sold: $10,900
Gross Profit: $7,500
Less: Shop manager's wage (80% of $2,400): ($1,920)
Shop Profit: $5,580

(c) Income and Expenditure Account for the year ended 31 December 2023:
Income:
- Subscriptions: $15,100
- Life membership fund transfer: $1,800
Calculation: ($12,000 + (4 \times $1,500)) \times 10\% = $1,800
- Shop profit: $5,580
- Fundraising receipts: $4,500
Total Income = $26,980

Expenditure:
- Rent and rates ($6,000 - $500): $5,500
- General expenses: $3,200
- Depreciation on club equipment: $2,100
- General manager's wages (20% of $2,400): $480
- Irrecoverable subscriptions: $200
Total Expenditure = $11,480
Surplus of Income over Expenditure: $15,500 ($26,980 - $11,480)

(d) Evaluation:
- Option 1 (Subscription Increase): Guaranteed source of additional regular income if members stay, but may lead to member resignations or difficulty attracting new members.
- Option 2 (Fundraising Dinner): Low risk of member dropouts and can build community spirit, but income is uncertain, depends on attendance, and involves organising expenses.
- Recommendation: The club should choose Option 1 if long-term, predictable court upkeep funds are needed, or Option 2 if they wish to avoid member dissatisfaction.

(a) Subscriptions Account (6 marks):
- Balance b/d (outstanding) [1 mark]
- Balance b/d (advance) [1 mark]
- Bank (receipts) [1 mark]
- Irrecoverable written off [1 mark]
- Balances c/d (outstanding and advance) [1 mark for both]
- Transfer to Income and Expenditure (balancing figure) [1 mark]

(b) Shop Trading Account (6 marks):
- Sales and Opening/Closing Inventory [1 mark]
- Purchases [1 mark]
- Cost of Sales calculation [1 mark]
- Gross Profit [1 mark]
- Shop manager's wages allocation ($1,920) [1 mark]
- Shop Profit [1 mark]

(c) Income and Expenditure Account (9 marks):
- Subscriptions income ($15,100) [1 mark]
- Life membership transfer ($1,800) [2 marks for working]
- Shop profit ($5,580) and Fundraising ($4,500) [1 mark]
- Rent and rates ($5,500) [1 mark]
- General expenses ($3,200) and Depreciation ($2,100) [1 mark]
- Allocated wages ($480) [1 mark]
- Irrecoverable subscriptions ($200) [1 mark]
- Surplus of $15,500 [1 mark]

(d) Evaluation and Recommendation (4 marks):
- 1 mark for analyzing Option 1 advantages/disadvantages.
- 1 mark for analyzing Option 2 advantages/disadvantages.
- 1 mark for general comparative analysis.
- 1 mark for a clear, justified recommendation.

(a) Zephyr Manufacturing Ltd
Manufacturing Account for the year ended 31 December 2023

Opening Inventory of Raw Materials: $24,500
Add: Purchases of Raw Materials: $185,000
Add: Carriage Inwards: $4,200
Less: Closing Inventory of Raw Materials: ($28,100)
Raw Materials Consumed: $185,600
Add: Direct Factory Wages: $115,000
PRIME COST: $300,600

Factory Overheads:
Factory Supervisor's Salary: $42,000
Factory Heat and Light: $18,500
Factory Insurance ($9,600 - $1,200): $8,400
Depreciation of Factory Machinery: $24,000
Total Overheads: $92,900

Add: Opening Work-In-Progress: $16,200
Less: Closing Work-In-Progress: ($14,800)
Cost of Production (at cost): $394,700
Add: Manufacturing Profit (15%): $59,205
TRANSFER VALUE OF PRODUCTION: $453,905

(b) Trading Section of the Income Statement for the year ended 31 December 2023:
Sales: $520,000
Less: Cost of Sales:
Opening Inventory of Finished Goods: $34,500
Add: Transfer Value of Production: $453,905
Less: Closing Inventory of Finished Goods: ($37,950)
Cost of Sales (at transfer value): ($450,455)
Gross Profit on Trading: $69,545

Add: Manufacturing Profit: $59,205
Less: Increase in Provision for Unrealised Profit: ($450)
Workings for PUP:
- Opening PUP: $34,500 \times 15/115 = $4,500
- Closing PUP: $37,950 \times 15/115 = $4,950
- Increase: $4,950 - $4,500 = $450
Realised Gross Profit: $128,300

(c) Discussion:
Advantages:
- Enables the factory to be treated as a profit centre, allowing for better performance measurement.
- Helps in comparing the cost of internal manufacturing with external buying prices (outsourcing decisions).
- Reflects more realistic competitive pricing of finished goods.

Disadvantages:
- Distorts inventory valuations by including unrealised profit, requiring adjustments (PUP).
- Increases administrative work due to complex year-end calculations.
- Conflict may arise between the production department and sales department regarding transfer price margins.

(a) Manufacturing Account (11 marks):
- Opening Raw Materials + Purchases + Carriage [1 mark]
- Closing Raw Materials [1 mark]
- Raw Materials Consumed ($185,600) [1 mark]
- Direct Wages and Prime Cost ($300,600) [1 mark]
- Factory Supervisor Salary and Heat & Light [1 mark]
- Factory Insurance ($8,400) [1 mark]
- Depreciation ($24,000) [1 mark]
- Total Overheads ($92,900) [1 mark]
- Work-in-progress adjustments [1 mark]
- Cost of Production ($394,700) [1 mark]
- Manufacturing Profit ($59,205) and Transfer Value ($453,905) [1 mark]

(b) Trading Section (8 marks):
- Sales ($520,000) [1 mark]
- Opening Finished Goods at transfer value ($34,500) [1 mark]
- Transfer Value of Production ($453,905) [1 mark]
- Closing Finished Goods ($37,950) [1 mark]
- Gross Profit on Trading ($69,545) [1 mark]
- Manufacturing Profit added ($59,205) [1 mark]
- PUP adjustment calculated ($450) and subtracted [1 mark]
- Realised Gross Profit ($128,300) [1 mark]

(c) Discussion (6 marks):
- Up to 3 marks for advantages of transfer pricing (at least two distinct points).
- Up to 3 marks for disadvantages of transfer pricing (at least two distinct points).

(a) Goodwill on acquisition:
Purchase Consideration: $260,000
Less: Agreed value of net assets acquired:
- Premises: $180,000
- Machinery: $40,000
- Inventory: $15,000
- Trade receivables: $11,000
- Less: Trade payables: ($8,000)
Total agreed value of net assets: $238,000
Goodwill: $260,000 - $238,000 = $22,000

(b) Share issue price:
Value of shares = Purchase Consideration - Cash
Value of shares = $260,000 - $50,000 = $210,000
Issue price per share = $210,000 / 140,000 shares = $1.50 per share
(Nominal value is $1.00, and Premium is $0.50 per share)

(c) Realisation Account:
Debit side:
- Premises (book value): $120,000
- Machinery (book value): $45,000
- Inventory (book value): $18,000
- Trade receivables (book value): $12,000
- Profit on realisation: $73,000 (shared: Beta: $43,800, Gamma: $29,200)
Total Debit = $268,000

Credit side:
- Trade payables (book value): $8,000
- Alpha Limited (Purchase consideration): $260,000
Total Credit = $268,000

(d) Partners' Capital Accounts:
Beta's Capital:
Debit:
- Shares in Alpha Ltd (3/5 of $210,000): $126,000
- Cash (balancing figure): $27,800
Total Debit = $153,800
Credit:
- Balance b/d: $110,000
- Realisation Profit: $43,800
Total Credit = $153,800

Gamma's Capital:
Debit:
- Shares in Alpha Ltd (2/5 of $210,000): $84,000
- Cash (balancing figure): $22,200
Total Debit = $106,200
Credit:
- Balance b/d: $77,000
- Realisation Profit: $29,200
Total Credit = $106,200

(e) Four reasons to sell to a limited company:
1. Gain limited liability status for owners.
2. Access to broader sources of capital (by issuing shares).
3. Better transferability of ownership (shares can be sold).
4. Separate legal entity status ensures business continuity regardless of owner changes.

(a) Goodwill (4 marks):
- Agreed value of assets sum ($246,000) [1 mark]
- Liabilities deducted ($8,000) [1 mark]
- Net assets acquired ($238,000) [1 mark]
- Goodwill calculation ($22,000) [1 mark]

(b) Share Price (3 marks):
- Value of shares ($210,000) [1 mark]
- Divided by number of shares [1 mark]
- Issue price of $1.50 [1 mark]

(c) Realisation Account (8 marks):
- Transfer of all assets to debit side [2 marks]
- Transfer of trade payables to credit side [1 mark]
- Recording purchase consideration [1 mark]
- Calculating profit on realisation ($73,000) [2 marks]
- Sharing profit between Beta ($43,800) and Gamma ($29,200) [2 marks]

(d) Partners' Capital Accounts (6 marks):
- Opening balances correct [1 mark]
- Allocation of realization profit correct [1 mark]
- Allocation of shares to Beta ($126,000) and Gamma ($84,000) [2 marks]
- Final cash settlement to Beta ($27,800) and Gamma ($22,200) [2 marks]

(e) Reasons (4 marks):
- 1 mark for each valid point listed (up to 4 marks).

(a) **Traditional Absorption Costing**

1. **Total direct labour hours:**
* Alpha: \(8,000 \text{ units} \times 1.5 \text{ hours} = 12,000 \text{ hours}\)
* Beta: \(2,000 \text{ units} \times 3.0 \text{ hours} = 6,000 \text{ hours}\)
* Total hours = \(12,000 + 6,000 = 18,000 \text{ hours}\)

2. **Overhead Absorption Rate (OAR):**
* \(OAR = \frac{\$360,000}{18,000 \text{ hours}} = \$20 \text{ per direct labour hour}\)

3. **Overhead allocated per unit:**
* Alpha: \(1.5 \text{ hours} \times \$20 = \$30.00\)
* Beta: \(3.0 \text{ hours} \times \$20 = \$60.00\)

4. **Total Unit Cost:**
* **Alpha:**
* Direct Materials: $25.00
* Direct Labour (\(1.5 \times \$12\)): $18.00
* Overheads: $30.00
* **Total Unit Cost: $73.00**
* **Beta:**
* Direct Materials: $45.00
* Direct Labour (\(3.0 \times \$12\)): $36.00
* Overheads: $60.00
* **Total Unit Cost: $141.00**

---

(b) **Activity Based Costing (ABC)**

1. **Cost Driver Rates:**
* Machine set-ups: \(\frac{\$150,000}{100 \text{ set-ups}} = \$1,500 \text{ per set-up}\)
* Quality inspections: \(\frac{\$120,000}{300 \text{ inspections}} = \$400 \text{ per inspection}\)
* Material handling: \(\frac{\$90,000}{180 \text{ orders}} = \$500 \text{ per order}\)

2. **Overhead Allocation:**
* **Alpha:**
* Set-ups: \(40 \times \$1,500 = \$60,000\)
* Inspections: \(120 \times \$400 = \$48,000\)
* Material orders: \(80 \times \$500 = \$40,000\)
* Total Overheads for Alpha: $148,000
* Overhead per unit: \(\frac{\$148,000}{8,000 \text{ units}} = \$18.50\)
* **Beta:**
* Set-ups: \(60 \times \$1,500 = \$90,000\)
* Inspections: \(180 \times \$400 = \$72,000\)
* Material orders: \(100 \times \$500 = \$50,000\)
* Total Overheads for Beta: $212,000
* Overhead per unit: \(\frac{\$212,000}{2,000 \text{ units}} = \$106.00\)

3. **Total Unit Cost:**
* **Alpha:**
* Direct Materials: $25.00
* Direct Labour: $18.00
* Overheads: $18.50
* **Total Unit Cost: $61.50**
* **Beta:**
* Direct Materials: $45.00
* Direct Labour: $36.00
* Overheads: $106.00
* **Total Unit Cost: $187.00**

---

(c) **Evaluation and Recommendation**

* Traditional absorption costing overcosts Alpha (simple, high-volume) and undercosts Beta (complex, low-volume) because it does not capture the disproportionate consumption of overhead activities by the low-volume product (Beta). Beta represents only 20% of production volume but consumes 60% of set-ups and inspections.
* Moving to ABC shows that Beta's true cost is $187.00 (not $141.00), while Alpha's is $61.50 (not $73.00). This provides much more accurate information for pricing decisions, preventing potential losses on Beta and uncompetitiveness on Alpha.
* ABC facilitates better cost management (Activity Based Management) by highlighting the cost of activities and where cost savings can be achieved.
* However, ABC is expensive, complex, and time-consuming to implement and maintain.
* It relies on subjective cost driver choices and may not be beneficial if overheads represent a small portion of total costs.

**Recommendation:** Vanguard Ltd should implement ABC because of the high product diversity and significant distortion in product costs, which could lead to incorrect pricing and strategic decisions.

**(a) Traditional Costing (8 marks)**
* Total direct labour hours = 18,000 hours (1 mark)
* Overhead Absorption Rate = $20 per hour (1 mark)
* Direct materials for both products (1 mark)
* Direct labour for Alpha ($18) and Beta ($36) (2 marks)
* Overhead allocated: Alpha = $30 (1 mark), Beta = $60 (1 mark)
* Total unit cost: Alpha = $73.00, Beta = $141.00 (1 mark for both correct)

**(b) Activity Based Costing (11 marks)**
* Cost driver rates: Set-ups $1,500, Inspections $400, Material handling $500 (3 marks, 1 for each rate)
* Alpha overhead calculation ($148,000 total or $18.50 per unit) (2 marks)
* Beta overhead calculation ($212,000 total or $106.00 per unit) (2 marks)
* Alpha total unit cost ($61.50) (2 marks - 1 for components, 1 for final sum)
* Beta total unit cost ($187.00) (2 marks - 1 for components, 1 for final sum)

**(c) Evaluation and Recommendation (6 marks)**
* Max 4 marks for evaluation points (e.g., product cost distortion, pricing effects, ABC benefits/limitations, cost of implementation).
* Max 1 mark for analyzing Vanguard's specific situation (e.g., Beta consumes 60% of set-ups despite 20% volume).
* Max 1 mark for a clear, justified recommendation.

(a) **Variance Calculations**

(i) **Selling price variance:**
* Actual sales revenue = $465,600
* Standard sales revenue for actual units = \(4,800 \text{ units} \times \$95 = \$456,000\)
* \(\text{Selling price variance} = \$465,600 - \$456,000 = \$9,600 \text{ Favourable (F)}\)

(ii) **Materials price variance:**
* Standard price of actual quantity used = \(19,500 \text{ kg} \times \$6 = \$117,000\)
* Actual cost of materials = $113,100
* \(\text{Materials price variance} = \$117,000 - \$113,100 = \$3,900 \text{ Favourable (F)}\)

(iii) **Materials usage variance:**
* Standard quantity allowed for actual production = \(4,800 \text{ units} \times 4 \text{ kg} = 19,200 \text{ kg}\)
* Actual quantity used = \(19,500 \text{ kg}\)
* Variance in quantity = \(19,500 - 19,200 = 300 \text{ kg (Adverse)}\)
* \(\text{Materials usage variance} = 300 \text{ kg} \times \$6 = \$1,800 \text{ Adverse (A)}\)

(iv) **Labour rate variance:**
* Standard cost of actual hours worked = \(9,300 \text{ hours} \times \$15 = \$139,500\)
* Actual labour cost = $144,150
* \(\text{Labour rate variance} = \$139,500 - \$144,150 = \$4,650 \text{ Adverse (A)}\)

(v) **Labour efficiency variance:**
* Standard hours allowed for actual production = \(4,800 \text{ units} \times 2 \text{ hours} = 9,600 \text{ hours}\)
* Actual hours worked = \(9,300 \text{ hours}\)
* Variance in hours = \(9,600 - 9,300 = 300 \text{ hours (Favourable)}\)
* \(\text{Labour efficiency variance} = 300 \text{ hours} \times \$15 = \$4,500 \text{ Favourable (F)}\)

(vi) **Fixed overhead expenditure variance:**
* Budgeted fixed overheads = \(5,000 \text{ units} \times \$16 = \$80,000\)
* Actual fixed overheads incurred = $78,000
* \(\text{Fixed overhead expenditure variance} = \$80,000 - \$78,000 = \$2,000 \text{ Favourable (F)}\)

(vii) **Fixed overhead volume variance:**
* Budgeted production = \(5,000 \text{ units}\)
* Actual production = \(4,800 \text{ units}\)
* Variance in units = \(200 \text{ units (Adverse)}\)
* Standard fixed overhead rate per unit = $16
* \(\text{Fixed overhead volume variance} = 200 \text{ units} \times \$16 = \$3,200 \text{ Adverse (A)}\)

---

(b) **Profit Reconciliation Statement**

| Details | $ | $ |
| :--- | :---: | :---: |
| **Budgeted Profit** (\(5,000 \times \$25\)) | | **125,000** |
| **Sales Volume Variance** (\(200 \text{ units} \times \$25\)) | | (5,000) (A) |
| **Standard Profit on Actual Sales** | | **120,000** |
| | | |
| **Variances** | **Favourable ($)** | **Adverse ($)** |
| Selling price variance | 9,600 | |
| Materials price variance | 3,900 | |
| Materials usage variance | | 1,800 |
| Labour rate variance | | 4,650 |
| Labour efficiency variance | 4,500 | |
| Fixed overhead expenditure variance | 2,000 | |
| Fixed overhead volume variance | | 3,200 |
| **Totals** | **20,000** | **9,650** |
| | | |
| **Net Favourable Variances** | | 10,350 |
| **Actual Profit** (\(\$120,000 + \$10,350\)) | | **130,350** |

*(Verification: Actual sales $465,600 - actual costs $335,250 = $130,350)*

---

(c) **Benefits and Limitations of Standard Costing**

**Benefits (any two):**
1. **Cost Control:** Helps management manage by exception by highlighting variances between planned and actual results.
2. **Performance Measurement:** Provides a benchmark for evaluating the efficiency of departments and workers.
3. **Simplifies Bookkeeping:** Inventory can be valued at standard cost, reducing administrative complexity.
4. **Pricing Decisions:** Standard costs offer a stable basis for setting sales prices.

**Limitations (any two):**
1. **Outdated Standards:** Standards can quickly become obsolete due to inflation, technological change, or shifts in supply conditions.
2. **Demotivating:** If standards are set too tight (unrealistic), it can frustrate and demotivate employees.
3. **Costly and Complex:** Developing and maintaining a standard costing system requires significant time and cost.
4. **Focus on Quantity over Quality:** An overemphasis on favourable efficiency or usage variances may compromise product quality.

**(a) Variances (14 marks, 2 marks per variance: 1 for calculation, 1 for correct label [F/A])**
* (i) Selling price variance: $9,600 (F)
* (ii) Materials price variance: $3,900 (F)
* (iii) Materials usage variance: $1,800 (A)
* (iv) Labour rate variance: $4,650 (A)
* (v) Labour efficiency variance: $4,500 (F)
* (vi) Fixed overhead expenditure variance: $2,000 (F)
* (vii) Fixed overhead volume variance: $3,200 (A)

**(b) Reconciliation Statement (7 marks)**
* Budgeted profit: $125,000 (1 mark)
* Sales volume variance: $5,000 (A) (1 mark)
* Standard profit on actual sales: $120,000 (1 mark)
* Listing and summing Favourable variances ($20,000) (1 mark)
* Listing and summing Adverse variances ($9,650) (1 mark)
* Net variance: $10,350 (F) (1 mark)
* Actual profit: $130,350 (1 mark)
*(Note: Accept alternative direct reconciliation from Budgeted Profit to Actual Profit if structured correctly with all variances shown.)*

**(c) Benefits and Limitations (4 marks)**
* 1 mark for each of two valid benefits (Max 2 marks)
* 1 mark for each of two valid limitations (Max 2 marks)