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Problem 4-22 Break-Even and Target Profit Analysis; Margin of Safety; CM Ratio (LO5-1, LO5-3, LO5-5, LO5-6, LO5-7) + Menlo Co3-a. How many units would have to be sold each month to earn a target profit of $72,000? Use the formula method. Units sold p4. Refer to part 3 and now assume that the tax rate is 30%. How many units would need to be sold each month to an after-tax t

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Answer #1

1) Break even unit = 145200/12 = 12100 Units

Break even sales = 12100*40 = $484000

2) Total Contribution margin at break even = $145200

3) Required unit = (145200+72000)/12 = 18100 Units

3b) Contribution margin income statement

Total Per unit
Sales 724000 40
Variable cost 506800 28
Contribution margin 217200 12
Fixed cost 145200
Net operating income 72000

4) Income before tax = 72000*100/70 = 102857

Required unit sales = (145200+102857)/12 = 20671 Units

5) Margin of safety

Dollar Percentage
Margin of safety 636000-484000 = 152000 152000/636000 = 23.90%

6) CM ratio = 12/40 = 30%

Net income increase by (72000*30%) = 21600

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