Question

Following table shows information of company A and Company B. Firm A Firm B Sales Same...

Following table shows information of company A and Company B.

Firm A

Firm B

Sales

Same

Same

Contribution Margin

Lower

Higher

Margin of Safety

Higher

Lower

. Which company should perform better if sales increase by 10% for both companies and why? also Which company should perform better if sales decrease by 10% for both companies and why

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Answer #1

1.Firm A would perform better if sales increase by 10% for both companies because this will increase the margin of safety of firm A as compared to Firm B .Hence Firm A would perform better.

2. If sales decrease by 10% for both companies then both the firm have same rate of margin of safety .

For eg All Figures have been assumed

Firm A Firm B
Sales 100000 100000
Variable Ratio (50000) (40000)
Contribution 50000     60000
Fixed Cost (20000) (25000)
Net operating Income 30000 35000
Contribution Margin (Contribution / Sales)

50000 / 100000

60000 / 100000
50% 60%
Break even point ( Fixed Cost / Contribution Margin) 20000 / 0.50 25000/ 0.60
40000 41667
Margin of Safety ( sales - Break even point / sales) 100000 - 40000 /100000

100000-41667/

100000

60% 58.33%

Now above table is as per question that sale should be same, Firm B Contribution Margin should be higher as compared to Firm A and Margin of Safety of Firm A should be higher as compared to Firm B.

1.Now sales increase by 10%

Firm A Firm B
Sales 110000 110000
Variable Ratio (50000) (40000)
Contribution 60000     70000
Fixed Cost (20000) (25000)
Net operating Income 40000 45000
Contribution Margin (Contribution / Sales)

60000 / 110000

70000 / 110000
54.5% 63%
Break even point ( Fixed Cost / Contribution Margin) 20000 / 0.54 25000/ 0.63
36697 39682
Margin of Safety ( sales - Break even point / sales) 110000 - 36697/110000

110000-39682/

110000

66.6% 63.92%

2.Sale decrease by 10 %

Firm A Firm B
Sales 90000 90000
Variable Ratio (50000) (40000)
Contribution 40000     50000
Fixed Cost (20000) (25000)
Net operating Income 20000 25000
Contribution Margin (Contribution / Sales)

40000 / 90000

50000 / 90000
44.4% 55.1%
Break even point ( Fixed Cost / Contribution Margin) 20000 / 0.44 25000/ 0.55
45454 45454
Margin of Safety ( sales - Break even point / sales) 90000 - 45454/90000

90000-45454/

90000

49% 49%
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