In: Accounting
Variable Costs, Contribution Margin, Contribution Margin Ratio
Super-Tees Company plans to sell 13,000 T-shirts at $24 each in the coming year. Product costs include:
| Direct materials per T-shirt | $8.40 |
| Direct labor per T-shirt | $1.68 |
| Variable overhead per T-shirt | $0.72 |
| Total fixed factory overhead | $45,000 |
Variable selling expense is the redemption of a coupon, which averages $1.20 per T-shirt; fixed selling and administrative expenses total $13,000.
Required:
1. Calculate the following values:
Round dollar amounts to the nearest cent and round ratio values to
three decimal places (express the ratio as a decimal rather than a
percentage).
| a. Variable product cost per unit | $ |
| b. Total variable cost per unit | $ |
| c. Contribution margin per unit | $ |
| d. Contribution margin ratio | |
| e. Total fixed expense for the year | $ |
2. Prepare a contribution-margin-based income statement for Super-Tees Company for the coming year. If required, round your per unit answers to the nearest cent.
| Super-Tees Company | ||
| Contribution-Margin-Based Operating Income Statement | ||
| For the Coming Year | ||
| Total | Per Unit | |
| $ | $ | |
| $ | $ | |
| $ | ||
3. What if the per
unit selling expense increased from $1.20 to $2.55? Calculate new
values for the following:
Round dollar amounts to the nearest cent and round ratio values to
four decimal places (express the ratio as a decimal rather than a
percentage):
| a. Variable product cost per unit | $ |
| b. Total variable cost per unit | $ |
| c. Contribution margin per unit | $ |
| d. Contribution margin ratio | |
| e. Total fixed expense for the year | $ |
| Answer 1 | a. Variable product cost per unit | $10.80 | |
| b. Total variable cost per unit | $12.00 | ||
| c. Contribution margin per unit | $ 12 | ||
| d. Contribution margin ratio | 0.50 | ||
| e. Total fixed expense for the year | $ 58,000 | ||
| Answer 2 | Super-Tees Company | ||
| Contribution-Margin-Based Operating Income Statement | |||
| For the Coming Year | |||
| Total | Per Unit | ||
| Sale | $ 312,000 | $ 24 | |
| Less: Variable cost | $ 156,000 | $ 12 | |
| Contribution | $ 156,000 | $ 12 | |
| Less: Fixed Cost | $ 58,000 | ||
| Net operating income | $ 98,000 | ||
| Answer 3 | a. Variable product cost per unit | $10.80 | |
| b. Total variable cost per unit | $13.35 | ||
| c. Contribution margin per unit | $ 10.65 | ||
| d. Contribution margin ratio | 0.4438 | ||
| e. Total fixed expense for the year | $ 58,000 | ||
Detailed workings
| For answer 1 and 2 | Calculatio of variable product cost and total variable cost' | ||
| Direct materials per T-shirt | $8.40 | ||
| Direct labor per T-shirt | $1.68 | ||
| Variable overhead per T-shirt | $0.72 | ||
| Variable Product cost | $10.80 | ||
| Variable selling expense | $1.20 | ||
| Total variable cost per unit | $12.00 | ||
| Calculation of Contribution margin | |||
| Selling Price per pizza | $24 | ||
| Less: Variable cost per pizza | $12 | ||
| Contribution margin | $12 | ||
| Contribution Margin ratio | =Contribution/Selling Price | ||
| =12/24 | |||
| 0.50 | |||
| For Answer 3 | Calculatio of variable product cost and total variable cost' | ||
| Direct materials per T-shirt | $8.40 | ||
| Direct labor per T-shirt | $1.68 | ||
| Variable overhead per T-shirt | $0.72 | ||
| Variable Product cost | $10.80 | ||
| Variable selling expense | $2.55 | ||
| Total variable cost per unit | $13.35 | ||
| Calculation of Contribution margin | |||
| Selling Price per pizza | $24.00 | ||
| Less: Variable cost per pizza | $13.35 | ||
| Contribution margin | $10.65 | ||
| Contribution Margin ratio | =Contribution/Selling Price | ||
| =10.65/24 | |||
| 0.4438 | |||