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Tims 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

Tims 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 $ 1,300 $ 700 $ 80
Medium-quality 750 420 60

Three-quarters of the shops sales are medium-quality bikes. The shops annual fixed expenses are $159,600. (In the following requirements, ignore income taxes.)

Required:

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

  2. What is the shops sales mix?

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

  4. What is the shops 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 $99,750? Assume a constant sales mix.

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