Question

Roosevelt Corporation has a weighted-average unit contribution margin of $30 for its two products, Standard and Supreme. Expected sales for Roosevelt are 40,000 Standard and 60,000 Supreme. Fixed expenses are $1,800,000. How many Standards would Roosevelt sell at the break-even point?

Answer 1

Standards sales at break even point are 24000 units

Step-by-step explanation:

The weightage of each product in sales mix is for each product is,

Total sales = 40000 + 60000 = 100000 units

Standard = 40000 / 100000 = 0.4

Supreme = 60000 / 100000 = 0.6

We first need to calculate the overall break even point in units and divide it in the sales mix.

The overall break even point in units = Fixed costs / Weighted average contribution margin per unit

Overall break even in units = 1800000 / 30 = 60000 units

Standards sales at break even point = 60000 * 0.4 = 24000 units