Let’s assume a company needs to cover $2,400 of fixed expenses each week plus earn $1,200 of profit each week. In essence the company needs to cover the equivalent of $3,600 of fixed expenses each week.
Presently the company has annual sales of $100,000 and its variable expenses amount to $37,500 per year. These two facts result in a contribution margin ratio of 62.5%:
Sales $100,000
Variable Expenses – 37,500
Contribution Margin $ 62,500
Contribution Margin Ratio = Contribution Margin ÷ Sales
Contribution Margin Ratio = $62,500 ÷ $100,000
Contribution Margin Ratio = 62.5%
The amount of sales necessary to give the owner a profit of $1,200 per week is determined by this break-even point formula:
Break-even Point in Sales $ per week = Fixed Expenses per week ÷ Contribution Margin Ratio
Break-even Point in Sales $ per week = $3,600 per week ÷ 62.5%
Break-even Point in Sales $ per week = $5,760 per week
To verify that this answer is reasonable, we prepared the following schedule:
|
Per Week |
52 Weeks |
Sales |
$ 5,760 |
$ 299,520 |
Variable Expenses (37.5%) |
– 2,160 |
– 112,320 |
Contribution Margin |
3,600 |
187,200 |
Fixed Expenses |
– 2,400 |
– 124,800 |
Profit |
$ 1,200 |
$ 62,400 |
As you can see, for the owner to have a profit of $1,200 per week or $62,400 per year, the company’s annual sales must triple. Presently the annual sales are $100,000 but the sales need to be $299,520 per year in order for the annual profit to be $62,400.
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