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Simplifying the ABC System: Equally Accurate Reduced ABC Systems
Selected activities and other information are provided for Patterson Company for its most recent year of operations.
| Expected Consumption Ratios  | 
||||||||
| Activity | Driver | Quantity | Wafer A | Wafer B | ||||
| 7. Inserting dies | Number of dies | 2,000,000 | 0.7 | 0.3 | ||||
| 8. Purchasing materials | Number of purchase orders  | 
1,900 | 0.2 | 0.8 | ||||
| 1. Developing test programs | Engineering hours | 11,000 | 0.25 | 0.75 | ||||
| 3. Testing products | Test hours | 18,000 | 0.6 | 0.4 | ||||
| ABC assignments | $150,000 | $150,000 | ||||||
| Total overhead cost | $300,000 | |||||||
Required:
1. Form reduced system cost pools for activities 7 and 8. Do not round interim calculations. Round your final answers to the nearest dollar.
| Inserting dies cost pool | $ | 
| Purchasing cost pool | $ | 
2. Assign the costs of the reduced system cost pools to Wafer A and Wafer B. Do not round interim calculations. Round your final answers to the nearest dollar.
| Wafer A | $ | 
| Wafer B | $ | 
3. What if the two activities were 1 and 3? Repeat Requirements 1 and 2.
Form reduced system cost pools for activities 1 and 3.
Do not round interim calculations. Round your final answers to the nearest dollar.
| Developing test programs cost pool | $ | 
| Testing products cost pool | $ | 
Assign the costs of the reduced system cost pools to Wafer A and Wafer B.
| Wafer A | $ | 
| Wafer B | $ | 
SOLUTION
1. Inserting dies = 0.7 - 0.3 = 0.4
Purchasing materials = 0.2 - 0.8 = 0.6
Overhead costs should be assigned in 0.6:0.4
Inserting dies = $300,000 * 0.6 / 1 = $180,000
Purchasing materials = $300,000 * 0.4 / 1 = $120,000
2. Cost assigned to Wafer A
| Inserting dies ($180,000*0.7) | 126,000 | 
| Purchasing materials ($120,000*0.2) | 24,000 | 
| Total Cost assigned to Wafer A | 150,000 | 
Cost assigned to Wafer B
| Inserting dies ($180,000*0.3) | 54,000 | 
| Purchasing materials ($120,000*0.8) | 96,000 | 
| Total Cost assigned to Wafer B | 150,000 | 
3. Inserting dies = 0.25 - 0.75 = 0.50
Purchasing materials = 0.6 - 0.4 = 0.20
Overhead costs should be assigned in 0.2/0.7 : 0.5/0.7
Inserting dies = $300,000 * 0.2 / 0.7 = $85,714
Purchasing materials = $300,000 * 0.5 / 0.7 = $214,286
Cost assigned to Wafer A
| Inserting dies ($85,714*0.25) | 21,428 | 
| Purchasing materials ($214,286*06) | 128,572 | 
| Total Cost assigned to Wafer A | 150,000 | 
Cost assigned to Wafer B
| Inserting dies ($85,714*0.75) | 64,286 | 
| Purchasing materials ($214,286*0.4) | 85,714 | 
| Total Cost assigned to Wafer B | 150,000 |