Question
Muscle Beach, Inc., makes three models of high-performance weight-training benches. Current operating data are summarized here: MegaMuscle PowerGym ProForce Selling price per unit $ 139
Muscle Beach, Inc., makes three models of high-performance weight-training benches. Current operating data are summarized here:
| MegaMuscle | PowerGym | ProForce | ||||||
Selling price per unit | $ | 139 |
| $ | 192 |
| $ | 295 |
|
Contribution margin per unit |
| 45 |
|
| 76 |
|
| 56 |
|
Monthly sales volumeunits |
| 3,100 |
|
| 2,030 |
|
| 930 |
|
Fixed expenses per month |
|
| Total of $327,900 |
|
| ||||
a. Calculate the contribution margin ratio of each product. (Round your answers to 1 decimal place.)
b. Calculate the firm's overall contribution margin ratio. (Round your answer to 1 decimal place.)
c. Calculate the firm's monthly break-even point in sales dollars. (Round your intermediate calculations to 1 decimal place.)
d. Calculate the firm's monthly operating income.
e-1. Management is considering the elimination of the ProForce model due to its low sales volume and low contribution margin ratio. As a result, total fixed expenses can be reduced to $283,720 per month. Assuming that this change would not affect the other models, what would be the effect on net operating income.
e-2. Would you recommend the elimination of the ProForce model? |
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f-1. Assume the same facts as in requirement e-1. Assume also that the sales volume for the PowerGym model will increase by 509 units per month if the ProForce model is eliminated. What would be the effect on operating income.
f-2. Would you recommend eliminating the ProForce model?
ANSWER SHEET
Explanation:
a.
| MegaMuscle | PowerGym | ProForce | ||||||
Selling price per unit (A) | $ | ??? |
| $ | ??? |
| $ | ??? |
|
Contribution margin per unit (B) |
| ?? |
|
| ?? |
|
| ?? |
|
Contribution margin ratio (B / A) |
| ??? | % |
| ??? | % |
| ??? | % |
b.
| MegaMuscle |
| PowerGym |
| ProForce | ||||||
Monthly sales volume |
| ???? | units |
|
| ???? | units |
|
| ??? | units |
Selling price per unit | $ | ??? |
|
| $ | ??? |
|
| $ | ??? |
|
Sales | $ | ?????? |
|
| $ | ?????? |
|
| $ | ?????? |
|
Total sales = $????????? |
|
|
|
|
|
|
|
|
|
|
|
Monthly sales volume |
| ???? | units |
|
| ???? | units |
|
| ??? | units |
Contribution margin per unit | $ | ?? |
|
| $ | ?? |
|
| $ | ?? |
|
Contribution margin | $ | ?????? |
|
| $ | ?????? |
|
| $ | ????? |
|
Total contribution margin = $?????
Overall CM ratio = Total CM / Total sales
= $?????? / $??????? = ???% (rounded)
c.
Break-even point = Fixed expenses / Overall CM ratio
= $?????? / ???% = $???????
d.
Operating income = Total CM Fixed expenses
= $?????? $????? = $?????
e.
The ProForce model (should or should not ???) be eliminated, because the ???????????????? foregone would exceed the reduction in fixed expenses, as follows:
|
|
|
|
Cost: Contribution margin foregone ($?? ??? units) |
| (????? | ) |
Benefit: Reduction in fixed expenses | $ | ????? |
|
Net operating income foregone by eliminating ProForce model | $ | (????? | ) |
f.
The ProForce model (should or should not ???) be eliminated, because the reduction in ??????????? and the increased ??????????????? for the PowerGym model would exceed the contribution margin foregone, as follows:
|
|
|
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Benefit: Contribution margin foregone (ProForce: $??? ??? units) | $ | (?????? | ) |
Cost: Increased contribution margin (PowerGym: $?? ??? units) |
| ????? |
|
Benefit: Reduction in fixed expenses |
| ????? |
|
Net benefit of eliminating ProForce model | $ | ?????? |
|
|
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