In: Accounting
Menlo Company distributes a single product. The company’s sales and expenses for last month follow:
Total | Per Unit | |||||
Sales | $ | 616,000 | $ | 40 | ||
Variable expenses | 431,200 | 28 | ||||
Contribution margin | 184,800 | $ | 12 | |||
Fixed expenses | 147,600 | |||||
Net operating income | $ | 37,200 | ||||
Required:
1. What is the monthly break-even point in unit sales and in dollar sales?
2. Without resorting to computations, what is the total contribution margin at the break-even point?
3-a. How many units would have to be sold each month to attain a target profit of $74,400?
3-b. Verify your answer by preparing a contribution format income statement at the target sales level.
4. Refer to the original data. Compute the company's margin of safety in both dollar and percentage terms.
5. What is the company’s CM ratio? If sales increase by $53,000 per month and there is no change in fixed expenses, by how much would you expect monthly net operating income to increase?
3b.
Verify your answer by preparing a contribution format income statement at the target sales level.
|
1.
Contribution margin ratio = Contribution margin / Sales
= $12 / $40
= 0.3
Breakeven point in unit sales = Fixed expenses / Contribution margin per unit
= $147,600 / $12
= 12,300
Breakeven point in revenues = Fixed expenses / Contribution margin ratio
= $147,600 / 0.3
= $492,000
2.
The total contribution margin at the breakeven point is equal to the fixed expenses.
Total contribution margin = $147,600
3-a.
Units to be sold = (fixed expenses + desired profit) / contribution margin ratio
= ($147,600 + $74,400) / 12
= $18,500
3-b.
Contribution format Income statement
Sales revenues |
$740,000 (18,500*$40) |
Less : Variable expenses |
$518,000 (18,500*$28) |
Contribution margin |
$222,000 |
Less : Fixed expenses |
$147,600 |
Net income |
$74,400 |
4.
Margin of safety in dollars = Sales - Breakeven sales
= $616,000 - $492,000
= $124,000
Margin of safety percentage = Margin of safety / Sales
= $124,000 / $616,000
= 20.13%
5.
Contribution margin ratio = Contribution margin / Sales
= $12 / $40
= 0.3
Increase in monthly net operating income = Increase in sales * Contribution margin ratio
= $53,000 * 0.3
= $15,900