In: Accounting
Variable Costs, Contribution Margin, Contribution Margin Ratio
Super-Tees Company plans to sell 13,000 T-shirts at $16 each in the coming year. Product costs include:
| Direct materials per T-shirt | $5.60 |
| Direct labor per T-shirt | $1.12 |
| Variable overhead per T-shirt | $0.48 |
| Total fixed factory overhead | $45,000 |
Variable selling expense is the redemption of a coupon, which averages $0.80 per T-shirt; fixed selling and administrative expenses total $14,000.
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 $0.80 to $1.75? 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 | $ |
| 1 | a. Variable product cost per unit; | $ | |
| Direct materials per T-shirt | 5.6 | ||
| Direct labor per T-shirt | 1.12 | ||
| Variable overhead per T-shirt | 0.48 | ||
| Variable product cost per unit | 7.2 | ||
| b. Total variable cost per unit; | $ | ||
| Variable product cost per unit | 7.2 | ||
| Variable selling expense | 0.8 | ||
| Total variable cost per unit | 8 | ||
| c. Contribution margin per unit; | $ | ||
| Selling price per unit | 16 | ||
| Less: Total variable cost per unit | -8 | ||
| Contribution margin per unit | 8 | ||
| d. Contribution margin ratio = ( $ 8/$ 16) = 50% | |||
| e. Total fixed expense for the year | $ | ||
| Total fixed factory overhead | 45,000 | ||
| fixed selling and administrative expenses | 14,000 | ||
| Total fixed expense for the year | 59,000 | ||
| 2 | Super-Tees Company | ||
| Contribution-Margin-Based Operating Income Statement | |||
| For the Coming Year | |||
| $ | per unit $ | ||
| Sales (13,000 units ) | 208,000 | 16 | |
| Less: Total variable costs | (104,000) | -8 | |
| Contribution Margin | 104,000 | 8 | |
| Less: Total fixed expense for the year | (59,000) | ||
| Net income | 45,000 | ||
| 3 | If per unit selling expense increased from $0.80 to $1.75; | ||
| $ | |||
| a. Variable product cost per unit | 7.2 | ||
| b.Total variable cost per unit; | |||
| Variable product cost per unit | 7.2 | ||
| Variable selling expense | 1.75 | ||
| Total variable cost per unit | 8.95 | ||
| c. Contribution margin per unit | |||
| Selling price per unit | 16 | ||
| Less: Total variable cost per unit | -8.95 | ||
| Contribution margin per unit | 7.05 | ||
| d. Contribution margin ratio = ( $ 7.05/ $ 16 ) = 0.4406 | |||
| e. Total fixed expense for the year | 59,000 | ||