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Chapter 20: Q24E (page 1125)

Calculating contribution margin ratio, preparing contribution margin income statements For its top managers, Worldwide Travel formats its income statement as follows:

Worldwide’s relevant range is between sales of \(253,000 and \)368,000. Requirements

1. Calculate the contribution margin ratio.

2. Prepare two contribution margin income statements: one at the \(253,000 sales level and one at the \)368,000 sales level. (Hint: The proportion of each sales dollar that goes toward variable costs is constant within the relevant range.)

Short Answer

Expert verified
  1. Contribution margin ratio is 57%
  2. Contribution at $253,000is$144,210 and $209,760at$368,000

Step by step solution

01

Calculation of contribution margin ratio

Contributionmarginratio=ContributionmarginNetsalesrevenue=$180,405$316,500=57%

02

Preparation of contribution margin income statements

Sales

$253,000

$368,000

Less:

Variable cost


localid="1656155930651" $136,095×$253,000/$316,500=$108,790

$136,095×$368,000/$316,500=$158,240

Contribution margin

$144,210

$209,760

Less: Fixed cost

$173,000

$173,000

Operating income

($28,790)

$36,760

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Most popular questions from this chapter

What are the three ways contribution margin can be ex

What are the three approaches to calculating the sales required to achieve the breakeven point? Give the formula for each one.

Question: This problem continues the Piedmont Computer Company situation from Chapter 19. Piedmont Computer Company manufactures personal computers and tablets. Based on the latest information from the cost accountant, using the current sales mix, the weighted-average sales price per unit is \(750 and the weighed-average variable cost per unit is \)450. The company does not expect the sales mix to vary for the next year. Average fixed costs per month are \(156,000.

Requirements

1. What is the number of units that must be sold each month to reach the breakeven point?

2. If the company currently sells 945 units per month, what is the margin of safety in units and dollars?

3. If Piedmont Computer Company desires to make a profit of \)15,000 per month, how many units must be sold?

4. Piedmont Computer Company thinks it can restructure some costs so that fixed costs will be reduced to \(90,000 per month, but the weighted-average variable cost per unit will increase to \)525 per unit. What is the new breakeven point in units? Does this increase or decrease the margin of safety? Why or why not?

A furniture manufacturer specializes in wood tables. The tables sell for \(100 per unit and incur \)40 per unit in variable costs. The company has \(6,000 in fixed costs per month. The company desires to earn an operating profit of \)12,000 per month.

10. Calculate the required sales in units to earn the target profit using the equation method.

11. Calculate the required sales in units to earn the target profit using the contribution margin method.

12. Calculate the required sales in dollars to earn the target profit using the contribution margin ratio method.

13. Calculate the required sales in units to break even using the contribution margin method.

You have just begun your summer internship at Omni Instruments. The company supplies sterilized surgical instruments for physicians. To expand sales, Omni is considering paying a commission to its sales force. The controller, Matthew Barnhill, asks you to compute: (1) the new breakeven sales figure, and (2) the operating profit if sales increase 15% under the new sales commission plan. He thinks you can handle this task because you learned CVP analysis in your accounting class.

You spend the next day collecting information from the accounting records, performing the analysis, and writing a memo to explain the results. The company president is pleased with your memo. You report that the new sales commission plan will lead to a significant increase in operating income and only a small increase in breakeven sales.

The following week, you realize that you made an error in the CVP analysis. You overlooked the sales personnel’s $2,800 monthly salaries, and you did not include this fixed selling cost in your computations. You are not sure what to do. If you tell Matthew Barnhill of your mistake, he will have to tell the president. In this case, you are afraid Omni might not offer you permanent employment after your internship.

Requirements

1. How would your error affect breakeven sales and operating income under the proposed sales commission plan? Could this cause the president to reject the sales commission proposal?

2. Consider your ethical responsibilities. Is there a difference between (a) initially making an error and (b) subsequently failing to inform the controller?

3. Suppose you tell Matthew Barnhill of the error in your analysis. Why might the consequences not be as bad as you fear? Should Barnhill take any responsibility for your error? What could Barnhill have done differently?

4. After considering all the factors, should you inform Barnhill or simply keep quiet?
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