Question

Dragon Sports Inc. manufactures and sells two products, baseball bats and baseball gloves. The fixed costs are $57,000, and the sales mix is 70% bats and 30% gloves. The unit selling price and the unit variable cost for each product are as follows:
Products Unit Selling Price Unit Variable Cost
Bats $50 $50
Gloves 100 80
a. Compute the break-even sales (units) for both products combined.
b. How many units of each product, baseball bats and baseball gloves, would be sold at break even point?

Answer 1

Answer and Explanation:

The computation is shown below:

Contribution Margin for Bat

= $50 - $50

= $0

Contribution Margin for Gloves = $100 - $80

= $20

Now  

Overall Contribution Margin = (0 ×70%) + ($20 × 30%)

= $0 + $6

= $6

Now  

A. Break even sales = Fixed cost ÷ contribution margin

= $57,000 ÷  $6

= 9,500

B.Baseball bats = 9,500 × 70% =6,650

Baseball Gloves = 9,500 × 30% = 2,850