Data Unit sales 20,000 units Selling price per unit $60 per unit Variable expens
ID: 2493674 • Letter: D
Question
Data Unit sales 20,000 units Selling price per unit $60 per unit Variable expenses per unit $45 per unit Fixed expenses $240,000 Enter a formula into each of the cells marked with a ? below Review Problem: CVP Relationships Compute the CM ratio and variable expense ratio Selling price per unit $60 per unit Variable expenses per unit 45 per unit Contribution margin per unit $15 per unit CM ratio 25% Variable expense ratio 75% Compute the break-even Break-even in unit sales ? units Break-even in dollar sales ? Compute the margin of safety Margin of safety in dollars ? Margin of safety percentage ? Compute the degree of operating leverage Sales ? Variable expenses ? Contribution margin ? Fixed expenses ? Net operating income ? Degree of operating leverage ?Explanation / Answer
Answer
Figures in $
Particulars
Per unit
Total
Unit sales
20,000
Selling price
a
60
1200000
Variable expenses
b
45
900000
Contribution (a-b)
c
15
300000
Fixed costs
d
2,40,000
Operating income (c-d)
60,000
Contribution margin Ratio = Contribution/sales * 100
= 300000 / 1200000 * 100
= 25 %
Variable Expense Ratio = Variable cost / Sales * 100
= 900000 / 1200000 * 100
= 75%
Break Even point (units) = Total Fixed costs / Contribution per unit
= 2,40,000 / 15
= 16000
Break Even point (In dollar terms) = Total Fixed costs / Contribution margin ratio
= 2,40,000 / 25 %
= $ 960000
Margin of safety (in dollar terms) = Actual Sales – Sales at breakeven point
= $ 1200000 - $ 960000
= $ 240000
Margin of safety (in %) = (Actual Sales – Sales breakeven point) / Actual Sales * 100
=( $ 1200000 - $ 960000 ) / $ 1200000 * 100
= $ 240000 / $ 1200000 * 100
= 20 %
Degree of operating leverage = Contribution margin / operating income
= 300000 / 60,000
= 5 times
Figures in $
Particulars
Per unit
Total
Unit sales
20,000
Selling price
a
60
1200000
Variable expenses
b
45
900000
Contribution (a-b)
c
15
300000
Fixed costs
d
2,40,000
Operating income (c-d)
60,000
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