Question

5. Gatewood Hills Corporation has three products X, Y, and Z. The company’s fixed costs are...

5. Gatewood Hills Corporation has three products X, Y, and Z. The company’s fixed costs are $69,000. The sales mix for its products are 3 units of X, 4 units of Y, and 1 unit of Z. Information about the three products follows: X Y Z Projected sales in dollars $192,000 $192,000 $64,000 Selling price per unit $40 $30 $40 Contribution margin ratio 30% 35% 35% Calculate the company's break-even point in composite units and sales dollars. (Hint: You will need to calculate the selling price of a composite unit and CM of a composite unit to calculate the break-even point in composite units. (2 points) (b) Calculate the number of units of each individual product to be sold at the break-even point. (Check: At break-even point you should have 2,250 units of product X.

X

Y

Z

Projected sales in dollars

$192,000

$192,000

$64,000

Selling price per unit

$40

$30

$40

Contribution margin ratio

30%

35%

35%

Homework Answers

Answer #1

1.

X Y Z
a) Selling Price Per unit            40.00         30.00         40.00
b) Sales Mix              3.00           4.00           1.00
c) a*b          120.00      120.00         40.00
d) Selling Price of composite Unit          280.00
e) Contribution Margin Ratio 30% 35% 35%
f) ( c * e)            36.00         42.00         14.00
g) Cm of Composit Unit            92.00
Fixed Cost    69,000.00
Breakeven of Composite Unit = Total fixed Cost / Contribution Margin per Unit
Breakeven of Composite Unit = 69000/92 = 750 Composite units

2.

The number of units of each individual product to be sold:

X Y Z
The number of units of each individual product to be sold:
Breakeven of Composite Unit * Sales Mix 750*3 750*4 750*1
Break Even- 2250 Units 3000 Units 750 Units
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