In: Accounting
Menlo Company distributes a single product. The company’s sales and expenses for last month follow:
Total | Per Unit | |||||
Sales | $ | 636,000 | $ | 40 | ||
Variable expenses | 445,200 | 28 | ||||
Contribution margin | 190,800 | $ | 12 | |||
Fixed expenses | 147,600 | |||||
Net operating income | $ | 43,200 | ||||
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 $65,000 per month and there is no change in fixed expenses, by how much would you expect monthly net operating income to increase?
Sales per unit | $40 | ||||
Variable expenses per unit | $28 | ||||
Unit Contribution margin | $12 | (40-28) | |||
Fixed expenses | $147,600 | ||||
1 | Monthly Break even point in unit sales | 12,300 | (147600/12) | ||
Monthly Break even point in dollar sales | $ 492,000 | (12300*$40) | |||
2 | Total Contribution Margin at Break even point | ||||
At Breakeven point Profit=0 | \ | ||||
Profit=Sales -Variable expense-Fixed Expense | |||||
(Sales-Variable expense)=Fixed expense | |||||
Total Contribution Margin=Fixed expense | |||||
Total Contribution Margin= | $147,600 | ||||
3a | Target Profit=$74400 | ||||
Unit of Sales required for contribution of $74400 | 6,200 | (74400/12) | |||
Unit of Sales required for Profit of $74400 | 18,500 | (6200+12300) | |||
3b | Contribution Format Income Statement: | ||||
Sales | $ 740,000 | (18500*40) | |||
Variable expenses | $ 518,000 | (18500*28) | |||
Contribution Margin | $ 222,000 | ||||
Fixed Expenses | $147,600 | ||||
Profit | $ 74,400 | ||||
4 | Margin of Safety in dollars | $ 144,000 | (636000-492000) | ||
Margin of Safety in percentage | 29.27% | (144000/492000)*100 | |||
5 | CM (Contribution Margin Ratio)=Contribution Margin/Sales | ||||
CM=12/40= | 0.3 | ||||
CM in percentage | 30% | ||||
If sales Increases by $65000 | |||||
Increase in Contribution =0.3*65000 | $ 19,500 | ||||
Increase in net operating Income | $ 19,500 | ||||