Question

Riku Company manufactures two products. The budgeted per-unit contribution margin for each product follows: Super Supreme Sales price $ 68 $ 94 Variable cost per unit (38 ) (44 ) Contribution margin per unit $ 30 $ 50 Riku expects to incur annual fixed costs of $540,000. The relative sales mix of the products is 70 percent for Super and 30 percent for Supreme. Required Determine the total number of products (units of Super and Supreme combined) Riku must sell to break even. How many units each of Super and Supreme must Riku sell to break even?

Answer 1

Super= 10,500

Supreme= 4,500

Step-by-step explanation:

Giving the following information:

Spuer:

Contribution margin= $30

Sales proportion= 0.70

Supreme:

Contribution margin= $50

Sales proportion= 0.30

Fixed costs= $540,000

First, we need to calculate the break-even point in units for the whole company:

Break-even point (units)= Total fixed costs / Weighted average contribution margin

Break-even point (units)= 540,000 / (0.7*30 + 0.3*50)

Break-even point (units)= 15,000 units

Now, for each product:

Super= 15,000*0.7= 10,500

Supreme= 15,000*0.3= 4,500