PastPaper.workedSolution
**(a) Overhead Analysis Sheet (Apportionment)**
- **Factory Rent** ($48,000) apportioned by **Floor Area** (ratio 4,000 : 2,000 : 1,200 : 800)
- Machining: \( \frac{4,000}{8,000} \times \$48,000 = \$24,000 \)
- Assembly: \( \frac{2,000}{8,000} \times \$48,000 = \$12,000 \)
- Maintenance: \( \frac{1,200}{8,000} \times \$48,000 = \$7,200 \)
- Canteen: \( \frac{800}{8,000} \times \$48,000 = \$4,800 \)
- **Machinery Depreciation** ($36,000) apportioned by **Book Value of Machinery** (ratio 120,000 : 30,000 : 20,000 : 10,000)
- Machining: \( \frac{120,000}{180,000} \times \$36,000 = \$24,000 \)
- Assembly: \( \frac{30,000}{180,000} \times \$36,000 = \$6,000 \)
- Maintenance: \( \frac{20,000}{180,000} \times \$36,000 = \$4,000 \)
- Canteen: \( \frac{10,000}{180,000} \times \$36,000 = \$2,000 \)
- **Heating and Lighting** ($12,000) apportioned by **Floor Area** (ratio 4,000 : 2,000 : 1,200 : 800)
- Machining: \( \frac{4,000}{8,000} \times \$12,000 = \$6,000 \)
- Assembly: \( \frac{2,000}{8,000} \times \$12,000 = \$3,000 \)
- Maintenance: \( \frac{1,200}{8,000} \times \$12,000 = \$1,800 \)
- Canteen: \( \frac{800}{8,000} \times \$12,000 = \$1,200 \)
- **Indirect Labour** ($24,000) apportioned by **Number of Employees** (ratio 12 : 24 : 4 : 10)
- Machining: \( \frac{12}{50} \times \$24,000 = \$5,760 \)
- Assembly: \( \frac{24}{50} \times \$24,000 = \$11,520 \)
- Maintenance: \( \frac{4}{50} \times \$24,000 = \$1,920 \)
- Canteen: \( \frac{10}{50} \times \$24,000 = \$4,800 \)
**Apportionment Summary Table:**
| Overhead | Basis | Machining ($) | Assembly ($) | Maintenance ($) | Canteen ($) |
| :--- | :--- | :---: | :---: | :---: | :---: |
| Rent | Floor Area | 24,000 | 12,000 | 7,200 | 4,800 |
| Depreciation | Book Value | 24,000 | 6,000 | 4,000 | 2,000 |
| Heating & Light | Floor Area | 6,000 | 3,000 | 1,800 | 1,200 |
| Indirect Labour | Employees | 5,760 | 11,520 | 1,920 | 4,800 |
| **Total** | | **59,760** | **32,520** | **14,920** | **12,800** |
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**(b) Reallocation (Step-Down Method)**
1. **Reallocate Canteen Overheads ($12,800):**
- Allocated based on the number of employees in the departments served (Machining: 12, Assembly: 24, Maintenance: 4. Total = 40 employees).
- Machining: \( \frac{12}{40} \times \$12,800 = \$3,840 \)
- Assembly: \( \frac{24}{40} \times \$12,800 = \$7,680 \)
- Maintenance: \( \frac{4}{40} \times \$12,800 = \$1,280 \)
2. **Reallocate Maintenance Overheads (Total = $14,920 + $1,280 = $16,200):**
- Allocated based on hours requested: Machining (60%) and Assembly (40%).
- Machining: \( 60\% \times \$16,200 = \$9,720 \)
- Assembly: \( 40\% \times \$16,200 = \$6,480 \)
**Reallocation Table:**
| Department | Machining ($) | Assembly ($) | Maintenance ($) | Canteen ($) |
| :--- | :---: | :---: | :---: | :---: |
| Total Apportioned | 59,760 | 32,520 | 14,920 | 12,800 |
| Reallocate Canteen | 3,840 | 7,680 | 1,280 | (12,800) |
| Subtotal | 63,600 | 40,200 | 16,200 | 0 |
| Reallocate Maintenance| 9,720 | 6,480 | (16,200) | 0 |
| **Grand Total** | **73,320** | **46,680** | **0** | **0** |
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**(c) Overhead Absorption Rates (OAR)**
- (i) **Machining OAR** (using budgeted machine hours: 12,220 hours):
\( \text{OAR} = \frac{\$73,320}{12,220\text{ hours}} = \$6.00\text{ per machine hour} \)
- (ii) **Assembly OAR** (using budgeted direct labour hours: 15,560 hours):
\( \text{OAR} = \frac{\$46,680}{15,560\text{ hours}} = \$3.00\text{ per direct labour hour} \)
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**(d) Selling Price of Job 101**
- **Direct Materials**: $450.00
- **Direct Labour**:
- Machining: \( 5\text{ hours} \times \$12 = \$60.00 \)
- Assembly: \( 12\text{ hours} \times \$10 = \$120.00 \)
- **Prime Cost** = \( 450.00 + 60.00 + 120.00 = \$630.00 \)
- **Overheads Absorbed**:
- Machining (machine hours): \( 10\text{ machine hours} \times \$6.00 = \$60.00 \)
- Assembly (labour hours): \( 12\text{ labour hours} \times \$3.00 = \$36.00 \)
- **Total Cost of Job 101** = \( \$630.00 + \$60.00 + \$36.00 = \$726.00 \)
- **Profit Markup** (25%): \( 25\% \times \$726.00 = \$181.50 \)
- **Recommended Selling Price** = \( \$726.00 + \$181.50 = \$907.50 \)
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**(e) Under- or Over-absorption in Machining**
- Overheads absorbed = \( \text{Actual machine hours worked} \times \text{OAR} \)
- Overheads absorbed = \( 12,100\text{ hours} \times \$6.00 = \$72,600 \)
- Actual overheads incurred = $74,500
- Difference = \( \$74,500 - \$72,600 = \$1,900 \)
- Since the actual overheads incurred are higher than the overheads absorbed, the overheads are **under-absorbed** by $1,900.
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**(f) Advantages of FIFO over AVCO**
- Inventory is valued at the most recent purchase prices, which gives a more realistic value of closing inventory on the Statement of Financial Position.
- It assumes a logical physical flow of inventory where older stock is used or sold first, which reduces the risk of stock deterioration or obsolescence.