Cost Allocations
1. **QUESTION 5: Allocate support department costs to operating departments using the direct method.**
- Given support department costs:
- Information Technology (IT): 600,000
- Operations: 1,800,000
- Operating department costs before allocation:
- Claims Processing: 450,000
- Administration: 850,000
- Sales: 650,000
- Allocation percentages from support to operating departments:
- IT to Claims Processing: 20%, Administration: 40%, Sales: 20%
- Operations to Claims Processing: 10%, Administration: 50%, Sales: 30%
- Step 1: Allocate IT costs:
- Claims Processing: $600,000 \times 0.20 = 120,000$
- Administration: $600,000 \times 0.40 = 240,000$
- Sales: $600,000 \times 0.20 = 120,000$
- Step 2: Allocate Operations costs:
- Claims Processing: $1,800,000 \times 0.10 = 180,000$
- Administration: $1,800,000 \times 0.50 = 900,000$
- Sales: $1,800,000 \times 0.30 = 540,000$
- Step 3: Calculate total costs after allocation:
- Claims Processing: $450,000 + 120,000 + 180,000 = 750,000$
- Administration: $850,000 + 240,000 + 900,000 = 1,990,000$
- Sales: $650,000 + 120,000 + 540,000 = 1,310,000$
2. **QUESTION 6: Factory overhead calculations.**
- Given:
- Budgeted factory overhead = 568,000
- Budgeted direct labour hours = 71,000
- Actual factory overhead = 582,250
- Actual direct labour hours = 71,500
- (i) Predetermined overhead rate:
$$\text{Predetermined rate} = \frac{568,000}{71,000} = 8$$ per direct labour hour
- (ii) Applied overhead:
$$\text{Applied overhead} = 8 \times 71,500 = 572,000$$
- (iii) Overapplied or underapplied overhead:
$$\text{Over/Underapplied} = \text{Actual} - \text{Applied} = 582,250 - 572,000 = 10,250$$ (underapplied)
- (iv) Journal entry to transfer underapplied overhead to Cost of Goods Sold:
Debit: Cost of Goods Sold 10,250
Credit: Factory Overhead 10,250
3. **QUESTION 7: Allocate service department costs to production departments using the direct method.**
- Given labor hours used by service departments:
- Sourcing to Assembly: 40,000, to Finishing: 60,000
- Operations to Assembly: 60,000, to Finishing: 50,000
- Costs:
- Sourcing: 165,000
- Operations: 205,000
- Step 1: Calculate total labor hours for each service department's allocation:
- Sourcing total hours to allocate: $40,000 + 60,000 = 100,000$
- Operations total hours to allocate: $60,000 + 50,000 = 110,000$
- Step 2: Allocate Sourcing costs:
- Assembly: $165,000 \times \frac{40,000}{100,000} = 66,000$
- Finishing: $165,000 \times \frac{60,000}{100,000} = 99,000$
- Step 3: Allocate Operations costs:
- Assembly: $205,000 \times \frac{60,000}{110,000} \approx 111,818$
- Finishing: $205,000 \times \frac{50,000}{110,000} \approx 93,182$
- Final allocated costs:
- Assembly: $66,000 + 111,818 = 177,818$
- Finishing: $99,000 + 93,182 = 192,182$