In: Accounting
Steven Company has fixed costs of $239,080. The unit selling price, variable cost per unit, and contribution margin per unit for the company's two products are provided below.
| Product | Selling Price per unit |
Variable Cost per unit |
Contribution Margin per unit |
||||||
| X | $1,248 | $468 | $780 | ||||||
| Y | 473 | 253 | 220 | ||||||
The sales mix for products X and Y is 60% and 40% respectively.
Determine the break-even point in units of X and Y combined. Round
answer to nearest whole number.
units
| Answer | ||||
| Contribution margin per unit (a) | Sales mix (b) | Weighted Contribution margin (a*b) | ||
| Product X | $ 780 | 60% | $ 468 | |
| Product Y | $ 220 | 40% | $ 88 | |
| Weighted Contribution margin | $ 556 | |||
| Break even point in units (Total company) = Total fixed cost/ Weighted contribution margin | ||||
| $239080 / $556 | ||||
| 430 units | ||||
| Break even point of particular products = Break even point in units for Total company * Sales mix | ||||
| Product X | 430 * 60% | |||
| 258 | units | |||
| Product Y | 430 * 40% | |||
| 172 | units | |||