a
Calculation of margin of safety percentage
For skin cream
Contribution margin ratio = Contribution margin/Sales
= 960,000/1.200,000
= 80%
Margin of safety = Profit/Contribution margin ratio
= 351,000/80%
= $438,750
Margin of safety (%) = Margin of safety/Sales
= 438,750/1,200,000
= 36.56%
For bath oil
Contribution margin ratio = Contribution margin/Sales
= 600,000/1,200,000
= 50%
Margin of safety = Profit/Contribution margin ratio
= 165,000/50%
= $330,000
Margin of safety (%) = Margin of safety/Sales
= 330,000/1,200,000
= 27.5%
For color gel
Contribution margin ratio = Contribution margin/Sales
= 400,000/1,040,000
= 38.46%
Margin of safety = Profit/Contribution margin ratio
= 280,000/38.46%
= $728,030
Margin of safety (%) = Margin of safety/Sales
= 728,030/1,040,000
= 70%
(b) Revised income statement after 20% increase in sales
Due to 20% increase in sales, variable cost will also increase by 20%.
Skin cream |
Bath oil |
Color gel |
|
Sales |
1,440,000 |
1,440,000 |
1,248,000 |
Less: Variable cost |
- 288,000 |
- 720,000 |
- 768,000 |
Contribution margin |
1,152,000 |
720,000 |
480,000 |
Less: Fixed cost |
- 609,000 |
- 435,000 |
- 120,000 |
Profit |
543,000 |
285,000 |
360,000 |
(c)
Calculation of percentage increase in net income
Percentage increase in net income of skin cream = (543,000 - 351,000)/351,000
= 54.70 %
Percentage increase in net income of bath oil = (285,000 - 165,000)/165,000
= 72.73 %
Percentage increase in net income of color gel = (360,000 - 280,000)/280,000
= 28.57%
Calculation of operating leverage
Operating leverage = Contribution/Net income
Operating leverage for skin cream = 960,000/351,000
= 2.74
Operating leverage for bath oil = 600,000/165,000
= 3.64
Operating leverage for color gel = 400,000/280,000
= 1.43
(d) If the management is pessimistic and risk averse, company will add color gel to its cosmetic line since operating leverage is least in case of color gel. Lower operating leverage implies lower risk and low income potential.
(f) If the management is optimistic and risk aggressive, company will add bath oil to its cosmetic line since operating leverage is highest in case of bath oil. Higher operating leverage implies higher risk and higher income potential
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