In: Accounting
Malibu Corporation has monthly fixed costs of $56,000. It sells two products for which it has provided the following information.
| Sales Price |
Contribution Margin |
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| Product 1 | $ | 15 | $ | 9 | |
| Product 2 | 20 | 4 | |||
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a. What total monthly sales revenue is required to break even if the relative sales mix is 30 percent for Product 1 and 70 percent for Product 2? (Round your answer to the nearest dollar amount.)
b. What total monthly sales revenue is required to earn a monthly operating income of $16,000 if the relative sales mix is 20 percent for Product 1 and 80 percent for Product 2? (Round your answer to the nearest dollar amount.)
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| a) Calculation of break even sales revenue: | |||||||
| Break even sales revenue= Fixed cost/ contribution margin ratio | |||||||
| Contribution margin ratio= contribution/sales*100 | |||||||
| Contribution margin ratio of product 1= 9/15*100=60% | |||||||
| Contribution margin ratio of product 2= 4/20*100=20% | |||||||
| Total contribution margin= 60*0.30+20*0.70 | |||||||
| =18+14= 32% | |||||||
| Break even sales revenue= 56000/0.32= $175000 | |||||||
| Break even sales revenue= $175000 | |||||||
| b) Calculation of target sales revenue: | |||||||
| Target sales revenue= (fixed cost+operating income)/contribution margin ratio | |||||||
| Contribution margin ratio of product 1= 9/15*100=60% | |||||||
| Contribution margin ratio of product 2= 4/20*100=20% | |||||||
| Contributio margin ratio= 60*0.20+20*0.80 | |||||||
| = 12+16=28% | |||||||
| Target sales revenue= (56000+16000)/0.28 | |||||||
| = 72000/0.28=257142.86 | |||||||
| Target sales revenue= $257143 | |||||||