Question

Dragon Sports Inc. manufactures and sells two products, baseball bats and baseball gloves. The fixed costs are $448,000, and the sales mix is 40% bats and 60% gloves. The unit selling price and the unit variable cost for each product are as follows: Products Unit Selling Price Unit Variable Cost Bats $40 $30 Gloves 100 60 a. Compute the break-even sales (units) for both products combined. fill in the blank 1 units b. How many units of each product, baseball bats and baseball gloves, would be sold at break-even point? Baseball bats fill in the blank 2 units Baseball gloves fill in the blank 3 units

Answer 1

Answer: a)the break-even sales (units) for both products combined= 16,000 units

b)break-even point for Baseball bats= 6, 400units

break-even point for Baseball gloves= 9,600units

Explanation:

a. Break-even sales (units) is given as:-

Contribution margin=Sales - Variable costs

Contribution margin for Bats = $40 - $30

= $10

Contribution margin for Gloves = $100 - $60

= $40

Weighted average Contribution margin = ($10 × 40%) + ($40 × 60%)

= $4+ $24

= $28

Break-even = Fixed cost ÷ Contribution margin

= $448,000 ÷ $28

= 16,000 units

b. The computation of units of each product is shown below:-

Baseball bats =  16,000 units × 40%= 6, 400units

Baseball gloves = 16,000units × 60%=9,600units