In: Accounting
Bacon Company makes four products in a single facility. These
products have the following unit product costs:
| Products | |||||||||||||||
| A | B | C | D | ||||||||||||
| Direct materials | $ | 14.85 | $ | 10.75 | $ | 11.55 | $ | 11.15 | |||||||
| Direct labor | 19.95 | 27.95 | 34.15 | 40.95 | |||||||||||
| Variable manufacturing overhead | 4.85 | 3.25 | 3.15 | 3.75 | |||||||||||
| Fixed manufacturing overhead | 27.05 | 35.35 | 27.15 | 37.75 | |||||||||||
| Unit product cost | $ | 66.70 | $ | 77.30 | $ | 76.00 | $ | 93.60 | |||||||
Additional data concerning these products are listed
below.
| Products | |||||||||||||||
| A | B | C | D | ||||||||||||
| Grinding minutes per unit | 3.80 | 5.30 | 4.30 | 3.40 | |||||||||||
| Selling price per unit | $ | 76.65 | $ | 94.05 | $ | 87.95 | $ | 104.75 | |||||||
| Variable selling cost per unit | $ | 2.75 | $ | 1.75 | $ | 3.85 | $ | 2.15 | |||||||
| Monthly demand in units | 4,220 | 4,220 | 3,220 | 2,220 | |||||||||||
The grinding machines are the constraint in the production
facility. A total of 54,700 minutes is available per month on these
machines.
Direct labor is a variable cost in this company.
Which product makes the MOST profitable use of the grinding
machines?
| Products | ||||
| A | B | C | D | |
| Grinding minutes per unit (a) | 3.80 | 5.30 | 4.30 | 3.40 |
| Selling price per unit (b) | $76.65 | $94.05 | $87.95 | $104.75 |
| Sales Revenue (a * b) | $291.27 | $498.47 | $378.19 | $356.15 |
| Less: Variable Costs (see note) | ($161.12) | ($231.61) | ($226.61) | ($197.20) |
| Contribution Margin | $130.15 | $266.86 | $151.58 | $158.95 |
| Less: Fixed Costs (see note) | ($102.79) | ($187.36) | ($116.75) | ($128.35) |
| Operating Income | $27.36 | $79.49 | $34.83 | $30.60 |
| Therefore, Product B is more profitable because it has highest operating income based on the use of grinding machines. | ||||
| Working notes: | A | B | C | D |
| Direct materials | $14.85 | $10.75 | $11.55 | $11.15 |
| Direct labor | $19.95 | $27.95 | $34.15 | $40.95 |
| Variable manufacturing overheads | $4.85 | $3.25 | $3.15 | $3.75 |
| Variable selling cost per unit | $2.75 | $1.75 | $3.85 | $2.15 |
| Variable cost per unit (a) | $42.40 | $43.70 | $52.70 | $58.00 |
| Grinding minutes per unit (b) | 3.80 | 5.30 | 4.30 | 3.40 |
| Variable costs (a*b) | $161.12 | $231.61 | $226.61 | $197.20 |
| Fixed manufacturing overheads (a) | $27.05 | $35.35 | $27.15 | $37.75 |
| Grinding minutes per unit (b) | 3.80 | 5.30 | 4.30 | 3.40 |
| Total Fixed Expenses (a*b) | $102.79 | $187.36 | $116.75 | $128.35 |