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 | |||