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uestion Cost-Volume-Profit Analysis, Multiple Products

uestion Cost-Volume-Profit Analysis, Multiple Products

uestion
Cost-Volume-Profit Analysis, Multiple Products

76. Boise Company manufactures and sells three products: Good, Better, and Best. Annual fixed costs are $3,315,000, and data about the three products follow.

Good

Better

Best

Sales mix in units

30%

50%

20%

Selling price

$250

$350

$500

Variable cost

100

150

250

Required:

A. Determine the weighted-average unit contribution margin.

B. Determine the break-even volume in units for each product.

C. Determine the total number of units that must be sold to obtain a profit for the company of $234,000.

D. Assume that the sales mix for Good, Better, and Best is changed to 50%, 30%, and 20%, respectively. Will the number of units required to break-even increase or decrease? Explain. Hint: Detailed calculations are not needed to obtain the proper solution.

Cost-Volume-Profit Analysis, Multiple Products

77. Alphabet Corporation sells three products: J, K, and L. The following information was taken from a recent budget:

J

K

L

Unit sales

40,000

130,000

30,000

Selling price

$60

$80

$75

Variable cost

40

65

50

Total fixed costs are anticipated to be $2,450,000.

Required:

A. Determine Alphabet’s sales mix.

B. Determine the weighted-average contribution margin.

C. Calculate the number of units of J, K, and L that must be sold to break even.

D. If Alphabet desires to increase company profitability, should it attempt to increase or decrease the sales of product K relative to those of J and L? Briefly explain.

Traditional and Contribution Income Statements

78. Price Publications, Inc., produces and sells business books. The results of the company’s operations for the year ended December 31, 20×1, are given below.

Sales revenue

$400,000

Manufacturing costs:

Fixed

100,000

Variable

200,000

Selling costs:

Fixed

10,000

Variable

20,000

Administrative costs:

Fixed

24,000

Variable

6,000

Required:

A. Prepare a traditional income statement for the company.

B. Prepare a contribution income statement for the company.

C. Which income statement (traditional or contribution) would an operating manager most likely use to study changes in operating income that are caused by changes in sales? Why?

Traditional and Contribution Income Computations

79. High Point Corporation reported sales revenues of $1,850,000 for the period just ended. Cost of goods sold, selling expenses, and administrative expenses totaled $1,200,000, $280,000, and $170,000, respectively. A detailed analysis of the latter three amounts revealed respective fixed cost components of $780,000, $60,000, and $130,000.

Required:

A. Determine the amounts that High Point would report on a traditional income statement for (1) gross margin, (2) contribution margin, and (3) net income.

B. Determine the amounts that High Point would report on a contribution income statement for (1) gross margin, (2) contribution margin, and (3) net income.

C. Which of the two income statements (traditional or contribution) is more useful for studying a company’s cost-volume-profit relationships.

Cost Structure, Operating Leverage

80. Once upon a time, two brothers (Barry and Larry) dreamt about owning and operating companies in the same line of business. Barry believed in maintaining a very large, highly efficient manual labor force; Larry, on the other hand, favored automated-production processes. One business was located in Madison and the other was located in Austin. Recent data follow.

Madison

Austin

Sales

$2,000,000

$2,000,000

Contribution margin

1,700,000

400,000

Net income

150,000

150,000

Required:

A. Which of the two businesses, Madison or Austin, has the highest level of (1) variable cost and (2) highest level of fixed cost? Explain how you determined your answer.

B. Determine the probable owner of the firm located in (1) Madison and (2) Austin. Briefly explain your logic.

C. Compute the operating leverage factor for Madison and Austin.

D. Suppose that both Madison and Austin had the opportunity to increase sales by 10%. Which of the two locations would experience a larger percentage change in net income? Why?

Operating Leverage

81. Metropolitan Enterprises is studying the addition of a new product that would have an expected selling price of $160 and expected variable cost of $100. Anticipated demand is 8,000 units.

A new salesperson must be hired because the company’s current sales force is working at capacity. Two compensation plans are under consideration:

Plan 1: An annual salary of $32,000 plus 10% commission based on gross sales dollars

Plan 2: An annual salary of $140,000 and no commission

Required:

A. What is meant by the term “operating leverage”?

B. Calculate the contribution margin and net income of the two plans at 8,000 units.

C. Compute the operating leverage factor of the two plans at 8,000 units. Which of the two plans is more highly leveraged? Why?

D. Assume that a general economic downturn occurred during year no. 2, with product demand falling from 8,000 to 6,400 units. By using the operating leverage factors, determine and show which plan would produce a larger percentage decrease in net income.

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