Product Costs and Product Profitability Reports, using a Single Plantwide Factory Overhead Rate
Isaac Engines Inc. produces three products—pistons, valves, and cams—for the heavy equipment industry. Isaac Engines has a very simple production process and product line and uses a single plantwide factory overhead rate to allocate overhead to the three products. The factory overhead rate is based on direct labor hours. Information about the three products for 20Y2 is as follows:
| Budgeted Volume (Units) |
Direct Labor Hours Per Unit |
Price Per Unit |
Direct Materials Per Unit |
|||||
| Pistons | 6,000 | 0.30 | $40 | $ 9 | ||||
| Valves | 13,000 | 0.50 | 21 | 5 | ||||
| Cams | 1,000 | 0.10 | 55 | 20 | ||||
The estimated direct labor rate is $20 per direct labor hour. Beginning and ending inventories are negligible and are, thus, assumed to be zero. The budgeted factory overhead for Isaac Engines is $235,200.
If required, round all per unit answers to the nearest cent.
a. Determine the plantwide factory overhead
rate.
$ per dlh
b. Determine the factory overhead and direct labor cost per unit for each product.
| Direct Labor Hours Per Unit |
Factory Overhead Cost Per Unit |
Direct Labor Cost Per Unit |
|
| Pistons | dlh | $ | $ |
| Valves | dlh | $ | $ |
| Cams | dlh | $ | $ |
Feedback
a. First calculate:
Volume x Direct Labor Hours per Unit = Direct Labor Hours per
Product. Add all product hours for total direct labor hours.
Next:
Total Budgeted Factory Overhead ÷ Total Budgeted Plantwide
Allocation Base = Single Plantwide Factory Overhead Rate
b. Calculate:
Factory Overhead Cost per Unit = Rate from Req. (a) x Direct Labor
Hours per Unit
Direct Labor Cost per Unit = Direct Labor Rate x Direct Labor Hours
per Unit
c. Use the information provided to construct a budgeted gross profit report by product line for the year ended December 31, 20Y2. Include the gross profit as a percent of sales in the last line of your report, rounded to one decimal place.
| Isaac Engines Inc. | |||
| Product Line Budgeted Gross Profit Reports | |||
| For the Year Ended December 31, 20Y2 | |||
| Pistons | Valves | Cams | |
|
$ | $ | $ |
| Product Costs | |||
|
$ | $ | $ |
|
|||
|
|||
| Total Product Costs | $ | $ | $ |
| Gross profit (loss) | $ | $ | $ |
| Gross profit percentage of sales | % | % | % |
| a. | |||
| Budgeted Volume (Units) |
Direct Labor Hours Per Unit |
Total Labour Hours Required | |
| Pistons | 6000 | 0.30 | 1800 |
| Valves | 13000 | 0.50 | 6500 |
| Cams | 1000 | 0.10 | 100 |
| Total dlh | 8400 | ||
| Budgeted factory overhead | $235,200 | ||
| Plantwide factory overhead rate | =$235,200/8400 | ||
| =$28 | per dlh | ||
| b. | |||
| Direct Labor Hours Per Unit |
Factory Overhead Cost Per Unit @ $28/dlh |
Direct Labor Cost Per Unit @ $20/dlh |
|
| Pistons | 0.30 | 8.4 | 6.0 |
| Valves | 0.50 | 14.0 | 10.0 |
| Cams | 0.10 | 2.8 | 2.0 |
| c. | |||
| Budgeted Volume (Units) | 6000 | 13000 | 1000 |
| Pistons | Valves | Cams | |
| Total Sales Value @ $40/21/55 per unit resp. | 240000 | 273000 | 55000 |
| Less: | |||
| Direct Material @ $9/5/20 per unit resp. | 54000 | 65000 | 20000 |
| Direct Labour @ $6/10/2 per unit resp. | 36000 | 130000 | 2000 |
| Overheads @ $8.4/14.0/2.8 per unit resp. | 50400 | 182000 | 2800 |
| Total Product Cost | 140400 | 377000 | 24800 |
| Gross profit (loss) | 99600 | (104000) | 30200 |
| Gross profit percentage of sales | 41.5% | -38.1% | 54.9% |
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