Presto Candle Supply makes candles. The sales mix (as a percentage of total dollar sales) of its three product lines is birthday candles 25%, standard tapered candles 40%, and large scented candles 35%. The contribution margin ratio of each candle type is as follows:
Candle Type | Contribution Margin Ratio | |||
Birthday | 10% | |||
Standard tapered | 20% | |||
Large scented | 40% |
If the company’s fixed costs are $428,750 per year, what is the
dollar amount of each type of candle that must be sold to break
even? (Round weighted-average contribution margin ratio
to 2 decimal places, e.g. 15.25%.)
Break-even in sales | |||
Birthday: | $ | ||
Standard tapered: | $ | ||
Large scented: | $ |
Ans:
Calculation of weighted average contribution margin ratio :
Contribution Margin Ratio | ||||
Birthday | 10% | |||
Standard tapered | 20% | |||
Large scented | 40% |
Weighted Average contribution margin : 0.25*10% + 0.40*20% + 0.35*40% = 24.5%
Fixed Asset : $428,750
Breakeven sales : $428,750 / 24.5% = $1,750,000
Breakeven Sales :
Birthday : $1,750,000 * 25% = $437,500
Standard Tapered : $1,750,000 * 40% = $700,000
Large Scented : $1,750,000 * 35% = $612,500
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