In: Accounting
Sales Mix and Break-Even Analysis
Heyden Company has fixed costs of $1,640,000. 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 | ||||||
| $660 | $340 | $320 | |||||||
| ZZ | 820 | 600 | 220 | ||||||
The sales mix for Products QQ and ZZ is 30% and 70%, 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
Solution
| Product QQ | 1,968 Units | 
| Product ZZ | 4,592 Units | 
Working
| Working | Product QQ | Product ZZ | TOTAL | |
| A | Revenues | $ 660.00 | $ 820.00 | |
| B | Variable Cost | $ 340.00 | $ 600.00 | |
| C = A - B | Contribution Margin | $ 320.00 | $ 220.00 | |
| D | Product Mix | 30.00% | 70.00% | 100.00% | 
| E = C x D | Weighted Average Contribution Margin | $ 96.00 | $ 154.00 | $ 250.00 | 
.
| A | Total Fixed Cost | $ 1,640,000.00 | 
| B | Weighted Average Contribution Margin | $ 250.00 | 
| C = A/B | Multi Product Break Even point | 6,560 | 
| C x 30% | Product QQ | 1,968 | 
| C x 70% | Product ZZ | 4,592 |