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A recent income statement for BMW reports the following (in € millions). Assume 75 percent of the cost of sales and 75 percent of the selling and administrative costs are variable costs, and the remaining 25 percent of each is fixed. Compute the contribution margin (in € millions). (Round computations using percentages to the nearest whole eur)

BMW Automobile Group
Sales
€92,175
Cost of sales
74,043
Selling and administrative expenses
8,633

Short Answer

Expert verified

Answer

The contribution margin of the business entity is €30,168.

Step by step solution

01

Definition of Variable Cost

The cost incurred by the business entity will increase or decrease as per a change in the level of activity, known as a variable cost. It includes costs such as direct material and direct labor.

02

Calculation of contribution margin

Particular

Amount €

Sales

€92,175

Less: variable cost of sales (74,043×75%)

(55,532.25)

Less: Selling and administrative expenses (8,633×75%)

(6,474.75)

Contribution margin

€30,168

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Most popular questions from this chapter

Zhao Co. has fixed costs of \(354,000. Its single product sells for \)175 per unit, and variable costs are $116 per unit. If the company expects sales of 10,000 units, compute its margin of safety (a) in dollars and (b) as a percent of expected sales.

SBD Phone Company sells its waterproof phone case for \(90 per unit. Fixed costs total \)162,000, and variable costs are $36 per unit. Determine the (1) contribution margin per unit and (2) break-even point in units.

Rivera Co. sold 20,000 units of its only product and incurred a \(50,000 loss (ignoring taxes) for the current year, as shown here. During a planning session for year 2018’s activities, the production manager notes that variable costs can be reduced 50% by installing a machine that automates several operations. To obtain these savings, the company must increase its annual fixed costs by \)150,000. The maximum output capacity of the company is 40,000 units per year.

RIVERA COMPANY

Contribution Margin Income Statement

For Year Ended December 31, 2017

Sales

\(750,000

Variable costs

600,000

Contribution margin

150,000

Fixed cost

200,000

Net loss

(\)50,000)

Required

1. Compute the break-even point in dollar sales for year 2017.

2. Compute the predicted break-even point in dollar sales for year 2018 assuming the machine is installed and no change occurs in the unit selling price. (Round the change in variable costs to a whole number.)

3. Prepare a forecasted contribution margin income statement for 2018 that shows the expected results with the machine installed. Assume that the unit selling price and the number of units sold will not change, and no income taxes will be due.

4. Compute the sales level required in both dollars and units to earn $200,000 of target pretax income in 2018 with the machine installed and no change in unit sales price. (Round answers to whole dollars and whole units.)

5. Prepare a forecasted contribution margin income statement that shows the results at the sales level computed in part 4. Assume no income taxes will be due.

Astro Co. sold 20,000 units of its only product and incurred a \(50,000 loss (ignoring taxes) for the current year, as shown here. During a planning session for year 2018’s activities, the production manager notes that variable costs can be reduced 50% by installing a machine that automates several operations. To obtain these savings, the company must increase its annual fixed costs by \)200,000. The maximum output capacity of the company is 40,000 units per year.


ASTRO COMPANY
Contribution Margin Income Statement
For Year Ended December 31, 2017
Sales
\(1,000,000
Variable cost
800,000
Contribution margin
200,000
Fixed cost
250,000
Net loss
(\)50,000)

Required

1. Compute the break-even point in dollar sales for year 2017.

2. Compute the predicted break-even point in dollar sales for year 2018 assuming the machine is installed and there is no change in the unit selling price.

3. Prepare a forecasted contribution margin income statement for 2018 that shows the expected results with the machine installed. Assume that the unit selling price and the number of units sold will not change, and no income taxes will be due.

4. Compute the sales level required in both dollars and units to earn $200,000 of target pretax income in 2018 with the machine installed and no change in unit sales price. Round answers to whole dollars and whole units.

5. Prepare a forecasted contribution margin income statement that shows the results at the sales level computed in part 4. Assume no income taxes will be due.

What two arguments tend to justify classifying all costs as either fixed or variable even though individual costs might not behave exactly as classified?

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