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lucido products markets two computer games: claimjumper and makeover. a contribution format income statement for a recent month for the two games appears below:
| claimjumper | makeover | total | --- | --- | --- | --- | sales | $ 57,600 | $ 134,400 | $ 192,000 | variable expenses | 38,400 | 96,000 | 134,400 | contribution margin | $ 19,200 | $ 38,400 | 57,600 | fixed expenses | 46,080 | net operating income | $ 11,520 | required: |
- what is the overall contribution margin (cm) ratio for the company?
- what is the companys overall break-even point in dollar sales?
- prepare a contribution format income statement at the companys break-even point that shows the appropriate levels of sales for the two products.
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what is the overall contribution margin (cm) ratio for the company?
overall cm ratio ______ %
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Step1: Calculate overall CM ratio
$\text{Overall CM ratio} = \frac{\text{Total Contribution Margin}}{\text{Total Sales}} \times 100\%$
$\text{Overall CM ratio} = \frac{57,600}{192,000} \times 100\% = 30\%$
Step2: Calculate break-even dollar sales
$\text{Break-even sales (dollars)} = \frac{\text{Fixed Expenses}}{\text{Overall CM Ratio}}$
$\text{Break-even sales (dollars)} = \frac{46,080}{0.30} = 153,600$
Step3: Allocate break-even sales to products
First, find sales mix percentages:
- Claimjumper sales mix: $\frac{57,600}{192,000} = 0.30$ or 30%
- Makeover sales mix: $\frac{134,400}{192,000} = 0.70$ or 70%
Allocate break-even sales:
- Claimjumper break-even sales: $153,600 \times 0.30 = 46,080$
- Makeover break-even sales: $153,600 \times 0.70 = 107,520$
Calculate variable expenses for each product at break-even:
- Claimjumper variable expense ratio: $\frac{38,400}{57,600} = \frac{2}{3}$
Claimjumper variable expenses: $46,080 \times \frac{2}{3} = 30,720$
- Makeover variable expense ratio: $\frac{96,000}{134,400} = \frac{5}{7}$
Makeover variable expenses: $107,520 \times \frac{5}{7} = 76,800$
Calculate contribution margin for each product:
- Claimjumper contribution margin: $46,080 - 30,720 = 15,360$
- Makeover contribution margin: $107,520 - 76,800 = 30,720$
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- Overall CM ratio: 30%
- Overall break-even point in dollar sales: $\$153,600$
- Contribution format income statement at break-even:
| Claimjumper | Makeover | Total | |
|---|---|---|---|
| Variable expenses | $\$30,720$ | $\$76,800$ | $\$107,520$ |
| Contribution margin | $\$15,360$ | $\$30,720$ | $\$46,080$ |
| Fixed expenses | $\$46,080$ | ||
| Net operating income | $\$0$ |