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Gabe industries sells two products, basic models and deluxe models. Basic models sell for $44 per unit with variable costs of $25 per unit. Deluxe models sell for $25 per unit. Deluxe models sell for $54 per unit with variable costs of $25 per unit. Total fixed costs for the company are 1,441. Gabe Industries typically sells three Basic models for every Deluxe model. What is the breakeven point for Basic models and Deluxe models?

a. 26 units of Basic, 38 units of Deluxe
b. 17 units of Basic, 51 units of Deluxe
c. 38 units of Basic, 26 units of Deluxe
d. 51 units of Basic, 17 units of Deluxe

Sagot :

ayokenny2001

Answer:

See below

Explanation:

Basic models Deluxe models

Sales price $44 $54

Variable costs $25 $25

Contribution margin $9 $29

×

Sales mix 1 3

Total contribution margin $9 $87

Contribution margin per unit = $9 + $87 = $96

Weighted contribution margin= Total contribution margin / Units

= $96 / $4

= $24

Break even point = Total fixed costs / Weighted contribution margin

Break even point = $1,441 / $24

Break even point = 60 units

•Basic units = 60 × 63.33% = 38 units of basic

•Deluxe units = 60 × 43.33% = 26 units of Deluxe units

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