Question

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 $ 52 per unit with variable costs of $ 25 per unit. Total fixed costs for the company are $ 1 comma 323.00. Gabe Industries typically sells three Basic models for every Deluxe model.
What is the breakeven point in total​ units?
a. 50 units
b. 63 units.
c. 29 units.
d.32 units

Answer 1

Answer:

The correct answer is B.

Explanation:

Giving the following information:

Basic models sell for $ 44 per unit with variable costs of $ 25 per unit. Deluxe models sell for $ 52 per unit with variable costs of $ 25 per unit. Total fixed costs for the company are $1,323. Gabe Industries typically sells three Basic models for every Deluxe model.

First, we need to calculate the weighted sales participation:

Basic= 3/4= 0.75

Deluxe= 1/4= 0.25

Now, we need to calculate the weighted average selling price and variable cost:

weighted average selling price= (selling price* weighted sales participation)= (44*0.75 + 52*0.25)= 46

weighted average variable cost= (variable cost* weighted sales participation)= (25*0.75 + 25*0.25)= 25

Now, we can calculate the break-even point in units:

Break-even point (units)= Total fixed costs / (weighted average selling price - weighted average variable expense)

Break-even point= 1,323/ (46 - 25)= 63 units