Question

Sales Mix and Break-Even Analysis

Michael Company has fixed costs of $500,240. The unit selling price, variable cost per unit, and contribution margin per unit for the company's two products follow:

Product |
Selling Price |
Variable Cost per Unit |
Contribution Margin per Unit |
||||||

$570 | $330 | $240 | |||||||

ZZ | 310 | 240 | 70 |

The sales mix for Products QQ and ZZ is 20% and 80%, respectively. Determine the break-even point in units of QQ and ZZ. If required, round your answers to the nearest whole number.

**a.**
Product QQ units

**b.** Product ZZ units

Answer #1

product mix percentage | Contribution margin per unit | weighted average contribution margin | |

20% | $ 240 | $240*20% = $48 | |

ZZ | 80% | $ 70 | $70*80% = $56 |

Weighted average contribution margin | $ 104 |

Total Break even sales in units = $500,240/$104 = 4,810 units

Sales Mix | Total Break even sales in units | Break even units | |

20% | 4810 | 962 | |

ZZ | 80% | 4810 | 3848 |

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