Question

Tiago makes three models of camera lens. Its product mix and contribution margin per unit follow: Percentage of Unit sales Contribution Margin per unit Lens A 25 % $ 38 Lens B 40 30 Lens C 35 43 Required: 1. Determine the weighted-average contribution margin per unit. 2. Determine the number of units of each product that Tiago must sell to break even if fixed costs are $187,000. 3. Determine how many units of each product must be sold to generate a profit of $73,000.

Answer 1

A. $36.55

B. 5116 units

C. 7114 units

Step-by-step explanation:

Requirement 1: Weighted average contribution margin per unit

Lens A = $38 x 25% = $9.5

Lens B = $30 x 40% = $12

Lens C = $43 x 35% = $15.05

Total Contribution margin per unit = $36.55

Requirement 2: Breakeven if fixed cost is $187,000

Break even point (units) = Fixed cost / Contribution per unit

Break even point (units) = 187,000/36.55

Break even point (units) = 5116 units

Lens A = 5116 x 25% = 1279 units

Lens B = 5116 x 40% = 2046 units

Lens C = 5116 x 35% = 1791 units

Requirement 3: How many units to be sold to generate $73,000 profit

Required units = Fixed cost - required profit / contribution per unit

Required units = ($187,000-$73,000)/$36.55

Required units = 7114 units

Lens A = 7114 x 25% = 1779 units

Lens B = 7114 x 40% = 2846 units

Lens C = 7114 x 35% = 2489 units