Answer 1)
Calculation of Total Cost and per unit cost of each product on the assumption that manufacturing overheads are allocated on the basis of direct labour dollars
Particulars |
Gas Cooker |
Charcoal Smoker |
Direct materials |
$ 30,000 |
$ 100,000 |
Direct labour |
$ 20,000 |
$ 29,000 |
Manufacturing overheads |
$ 136,163.27 |
$ 197,436.73 |
Total Cost |
$ 186,163.27 |
$ 326,436.73 |
Total Cost (rounded off) |
$ 186,163 |
$ 326,437 |
Number of Units produced |
1,000 |
3,000 |
Cost per unit |
$ 186.16 |
$ 108.81 |
Therefore total cost of Gas Cooker is $ 186,163 and that of Charcoal smoker is $ 326,437. Also cost per unit of Gas cooker is $ 186.16 and that of charcoal smoker is $ 108.81.
Working Notes:
Overhead rate (based on labour dollars)
Overhead rate (based on labour dollars) = Total manufacturing overheads/ Total labour cost
= $ 333,600/ ($ 20,000 + $ 29,000)
= $ 333,600/ $ 49,000
= $ 6.8082 per labour dollar
Therefore overhead rate is $ 6.8082 per labour dollar.
Allocation of overhead costs:
Overhead cost allocated to a product = (Labour cost is dollars of that product X overhead rate based on labour dollars)
Gas Cooker:
Allocated overhead cost = $ 20,000 X $ 6.8082
= $ 186,163.27
Manufacturing overhead cost allocated to Gas cooker is $ 186,163.27
Charcoal Smoker:
Allocated overhead cost = $ 29,000 X $ 6.8082
= $ 326,436.73
Manufacturing overhead cost allocated to Charcoal smoker is $ 326,436.73
Answer 2)
Calculation of Total Cost and per unit cost of each product on the assumption that manufacturing overheads are allocated using Activity Based Costing
Particulars |
Gas Cooker |
Charcoal Smoker |
Direct materials |
$ 30,000 |
$ 100,000 |
Direct labour |
$ 20,000 |
$ 29,000 |
Manufacturing overheads: |
||
Materials Acquisition and inspection |
$ 69,000 |
$ 230,000 |
Materials movement |
$ 13,280 |
$ 3,320 |
Scheduling |
$ 12,000 |
$ 6,000 |
Total Cost |
$ 144,280 |
$ 368,320 |
Number of Units produced |
1,000 |
3,000 |
Cost per unit |
$ 144.28 |
$ 122.77 |
Therefore total cost of Gas Cooker is $ 144,280 and that of Charcoal smoker is $ 368,320. Also cost per unit of Gas cooker is $ 144.28 and that of charcoal smoker is $ 122.77.
Working Notes:
Calculation of total number of activities of each cost driver:
Cost Driver |
Gas Cooker |
Charcoal Smoker |
Total Number of Activities |
Amount of direct materials cost |
$ 30,000 |
$ 100,000 |
$ 130,000 |
Number of batch moves |
80 batch moves |
20 batch moves |
100 batch moves |
Number of batches |
20 batches |
10 batches |
30 batches |
Calculation of Cost per Activity for each activity driver:
Activity |
Overhead Cost |
Cost Driver |
Number of Activities |
Overhead Cost per Activity |
Materials Acquisition and inspection |
$ 299,000 |
Amount of direct materials cost |
$ 130,000 |
$ 2.30 per dollar of direct material cost |
Materials movement |
$ 16,600 |
Number of batch moves |
100 batch moves |
$ 166 batch moves |
Scheduling |
$ 18,000 |
Number of batches |
30 batches |
$ 600 per batch |
Total |
$ 333,600 |
Calculation of Overhead cost allocated to Gas Cooker based on Activities consumed
Activity |
Cost Driver |
Number of Activities |
Overhead Cost per Activity |
Allocated Overhead Cost |
Materials Acquisition and inspection |
Amount of direct materials cost |
$ 30,000 |
$ 2.30 per dollar of direct material cost |
$ 69,000 |
Materials movement |
Number of batch moves |
80 batch moves |
$ 166 per batch moves |
$ 13,280 |
Scheduling |
Number of batches |
20 batches |
$ 600 per batch |
$ 12,000 |
Calculation of Overhead cost allocated to Charcoal Smoker based on Activities consumed
Activity |
Cost Driver |
Number of Activities |
Overhead Cost per Activity |
Allocated Overhead Cost |
Materials Acquisition and inspection |
Amount of direct materials cost |
$ 100,000 |
$ 2.30 per dollar of direct material cost |
$ 230,000 |
Materials movement |
Number of batch moves |
20 batch moves |
$ 166 per batch moves |
$ 3,320 |
Scheduling |
Number of batches |
10 batches |
$ 600 per batch |
$ 6,000 |
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