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sveticcg
2 months ago
13

​Matthew's Fish Fry has a monthly target operating income of​ $6,600. Variable expenses are​ 80% of sales and monthly fixed expe

nses are​ $840. What is the monthly margin of safety in dollars if the business achieves its operating income​ goal?
A. ​$29,760
B. ​$41,400
C. ​$33,000
D. ​$37,200
Business
1 answer:
Mariulka [3.8K]2 months ago
5 0

Response:

The right answer is C

Explanation:

To find break-even sales, we use the formula:

Contribution margin ratio = Fixed Cost / Break-even Sales

where

Contribution margin ratio = 1 - Variable costs of 80%

= 20%

The fixed cost amounts to $840

30% = $840 / Break-even Sales

Break-even Sales = $840 / 20%

= $4,200

To find actual sales:

Actual Sales = (Fixed Cost + Target Profit) /  Contribution margin ratio

= ($840 + $6,600) / 20%

= $7,440 / 0.2

= $37,200

To calculate the margin of safety:

Margin of Safety = Actual Sales - Break-even Sales

= $37,200 - $4,200

= $33,000

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