Problem

Tim’s Bicycle Shop sells 21-speed bicycles. For purposes of a cost-volume-profit analysis....

Tim’s Bicycle Shop sells 21-speed bicycles. For purposes of a cost-volume-profit analysis. the shop owner has divided sales into two categories. as follows:

Product Type

Sales Price

Invoice Cost

Sales Commission

High-quality

$500

$275

$25

Medium-quality

300

135

15

Three-quarters of the shop’s sales are medium-quality bikes. The shop’s annual fixed expenses are $ 65,000. (In the following requirements. ignore income taxes.)

Required:

1. Compute the unit contribution margin for each product type.

2. What is the shop’s sales mix?

3. Compute the weighted-average unit contribution margin. assuming a constant sales mix.

4. What is the shop’s break-even sales volume in dollars? Assume a constant sales mix.

5. How many bicycles of each type must be sold to earn a target net income of $48,750? Assume a constant sales mix.

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