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Excel Memory Company can sell all units of computer memory X and Y that it can produce, but it has limited production capacity. It can produce two units of X per hour orthree units of Y per hour, and it has 4,000 production hours available. Contribution margin is \(5 for Product X and \)4 for Product Y. What is the most profitable sales mix for this company?

Short Answer

Expert verified

The production of product Y is more profitable for the company.

Step by step solution

01

Definition of sales mix

The sales mix means the situation when a company produces more than one type of product in the factory.

02

Calculation of profitable sales mix

Contribuution Margin Per Hour

Product X

Product Y

Production Units Per hour

2

3

Contribution Margin Per Unit

$5

$4

Contribution Margin Per Production Hour

$10

$12

Notes:

ContributionMarginPerHour =productionperhour×contibutionmarginperunit= 2×$ 5= $ 10

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Most popular questions from this chapter

A division of a large company reports the information shown below for a recent year. Variable costs and direct fixed costs are avoidable, and 40% of the indirect fixed costs are avoidable. Based on this information, should the division be eliminated?

Sales . \(200,000

Variable costs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145,000

Fixed costs

Direct . 30,000

Indirect . 50,000

Operating loss \) (25,000)

Calla Company produces skateboards that sell for \(50 per unit. The company currently has the capacity to produce 90,000 skateboards per year, but is selling 80,000 skateboards per year. Annual costs for 80,000 skateboards follow.

Direct materials . \) 800,000

Direct labor 640,000

Overhead . 960,000

Selling expenses 560,000

Administrative expenses . 480,000

Total costs and expenses \(3,440,000

A new retail store has offered to buy 10,000 of its skateboards for \)45 per unit. The store is in a different market from Calla’s regular customers and would not affect regular sales. A study of its costs in anticipation

of this additional business reveals the following:

Direct materials and direct labor are 100% variable.

Thirty percent of overhead is fixed at any production level from 80,000 units to 90,000 units; the remaining

70% of annual overhead costs are variable with respect to volume.

Selling expenses are 60% variable with respect to number of units sold, and the other 40% of selling expenses are fixed.

There will be an additional \(2 per unit selling expense for this order.

Administrative expenses would increase by a \)1,000 fixed amount

Required

1. Prepare a three-column comparative income statement that reports the following:

a. Annual income without the special order.

b. Annual income from the special order.

c. Combined annual income from normal business and the new business.

2. Should Calla accept this order? What nonfinancial factors should Calla consider? Explain.

Analysis Component

3. Assume that the new customer wants to buy 15,000 units instead of 10,000 units—it will only buy 15,000 units or none and will not take a partial order. Without any computations, how does this change your answer for part 2?

Esme Company’s management is trying to decide whether to eliminate Department Z, which has produced

low profits or losses for several years. The company’s 2017 departmental income statements show

the following.

ESME COMPANY

Departmental Income Statements

For Year Ended December 31, 2017

Dept. A Dept. Z Combined

Sales . \(700,000 \)175,000 \(875,000

Cost of goods sold 461,300 125,100 586,400

Gross profit 238,700 49,900 288,600

Operating expenses

Direct expenses

Advertising 27,000 3,000 30,000

Store supplies used 5,600 1,400 7,000

Depreciation—Store equipment . 14,000 7,000 21,000

Total direct expenses 46,600 11,400 58,000

Allocated expenses

Sales salaries . 70,200 23,400 93,600

Rent expense 22,080 5,520 27,600

Bad debts expense 21,000 4,000 25,000

Office salary . 20,800 5,200 26,000

Insurance expense . 4,200 1,400 5,600

Miscellaneous office expenses . 1,700 2,500 4,200

Total allocated expenses 139,980 42,020 182,000

Total expenses . 186,580 53,420 240,000

Net income (loss) . \) 52,120 \( (3,520) \) 48,600

In analyzing whether to eliminate Department Z, management considers the following items:

a. The company has one office worker who earns \(500 per week or \)26,000 per year and four salesclerks

who each earns \(450 per week, or \)23,400 per year for each salesclerk.

b. The full salaries of three salesclerks are charged to Department A. The full salary of one salesclerk is

charged to Department Z.

c. Eliminating Department Z would avoid the sales salaries and the office salary currently allocated to it.

However, management prefers another plan. Two salesclerks have indicated that they will be quitting

soon. Management believes that their work can be done by the two remaining clerks if the one office

worker works in sales half-time. Eliminating Department Z will allow this shift of duties. If this

change is implemented, half the office worker’s salary would be reported as sales salaries and half

would be reported as office salary.

d. The store building is rented under a long-term lease that cannot be changed. Therefore, Department A

will use the space and equipment currently used by Department Z.

e. Closing Department Z will eliminate its expenses for advertising, bad debts, and store supplies; 65%

of the insurance expense allocated to it to cover its merchandise inventory; and 30% of the miscellaneous

office expenses presently allocated to it.

Required

1. Prepare a three-column report that lists items and amounts for (a) the company’s total expenses (including

cost of goods sold)—in column 1, (b) the expenses that would be eliminated by closing

Department Z—in column 2, and (c) the expenses that will continue—in column 3.

2. Prepare a forecasted annual income statement for the company reflecting the elimination of

Department Z assuming that it will not affect Department A’s sales and gross profit. The statement

should reflect the reassignment of the office worker to one-half time as a salesclerk.

Analysis Component

3. Reconcile the company’s combined net income with the forecasted net income assuming that

Department Z is eliminated (list both items and amounts). Analyze the reconciliation and explain why

you think the department should or should not be eliminated.

Garcia Co. sells snowboards. Each snowboard requires direct materials of \(100, direct labor of \)30, and variable overhead of \(45. The company expects fixed overhead costs of \)635,000 and fixed selling and administrative costs of $115,000 for the next year. It expects to produce and sell 10,000 snowboards in the next year. What will be the selling price per unit if Garcia uses a markup of 15% of total cost?

Mervin Company produces circuit boards that sell for \(8 per unit. It currently has capacity to produce

600,000 circuit boards per year, but is selling 550,000 boards per year. Annual costs for the 550,000

circuit

boards follow.

Direct materials . \) 825,000

Direct labor 1,100,000

Overhead . 1,375,000

Selling expenses 275,000

Administrative expenses . 550,000

Total costs and expenses \(4,125,000

An overseas customer has offered to buy 50,000 circuit boards for \)6 per unit. The customer is in a different

market from Mervin’s regular customers and would not affect regular sales. A study of its costs in

anticipation of this additional business reveals the following:

Direct materials and direct labor are 100% variable.

Twenty percent of overhead is fixed at any production level from 550,000 units to 600,000 units; the

remaining

80% of annual overhead costs are variable with respect to volume.

Selling expenses are 40% variable with respect to number of units sold, and the other 60% of selling

expenses are fixed.

There will be an additional \(0.20 per unit selling expense for this order.

Administrative expenses would increase by a \)700 fixed amount.

Required

1. Prepare a three-column comparative income statement that reports the following:

a. Annual income without the special order.

b. Annual income from the special order.

c. Combined annual income from normal business and the new business.

2. Should management accept the order? What nonfinancial factors should Mervin consider? Explain.

Analysis Component

3. Assume that the new customer wants to buy 100,000 units instead of 50,000 units—it will only buy

100,000 units or none and will not take a partial order. Without any computations, how does this

change your answer in part 2?

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