Question

In: Accounting

Alpha Company is selling three products: A, B and C. The company sells three units of...

Alpha Company is selling three products: A, B and C. The company sells three units of A for every unit of C, and two units of B for every unit of A.
Fixed costs are 720,000
Contribution margins are:
A - 1.90
B - 2
C - 2.30
How many units of B would the company sell at break even point?

Solutions

Expert Solution

  • All working forms part of the answer
  • Working

Working

A

B

C

Total

A

Sales if 1 unit of C is sold

3 [1 x 3]

6 [3 x 2]

1

10

B

Sales Mix - % of total

30%

60%

10%

100%

C

Contribution margin

$                     1.90

$                     2.00

$                   2.30

D = B x C

Weighted Contribution margin

$                     0.57

$                     1.20

$                   0.23

$                   2.00

  • Answer

A

Total Fixed Cost

$        720,000.00

B

Weighted Contribution margin

$                     2.00

C = A/B

Total Break Even units

                360,000

D

B's Sales Mix %

60%

E = C x D

Units of B the company sell at Break Even point

                  216,000

Correct Answer = 216,000 units of B


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