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Question: Determining total variable cost

For each variable cost per unit listed below, determine the total variable cost when units produced and sold are 25, 50, and 100 units.

Direct materials $ 40

Direct labor 80

Variable overhead 9

Sales commission 12

Short Answer

Expert verified

Answer

The total variable cost for 25 units is $3,525 per unit, for 50 units is $7,050 , for 100 units is $14,100 .

Step by step solution

01

Calculation of total variable cost per unit

Particulars

Amount

Direct materials

$40

Direct labor

$80

Variable overhead

$9

Sales commission

$12

Total variable cost per unit

$141

02

 Step 2: Calculation of fixed cost per unit

25

50

100

Variable cost per unit

$141

$141

$141

× No. of units

25

50

100

Fixed cost per unit

$3,525

$7,050

$14,100

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Most popular questions from this chapter

Determining cost behavior

Identify each cost below as variable (V), fixed (F), or mixed (M), relative to units sold. Explain your reason.

Units Sold 25 50 75 100

a. Total phone cost \( 150 \) 200 \( 250 \) 300

b. Materials cost per unit 35 35 35 35

c. Manager’s salary 3,000 3,000 3,000 3,000

d. Depreciation cost per unit 60 30 20 15

e. Total utility cost 400 650 900 1,150

f. Total cost of goods sold 3,125 6,250 9,375 12,500

Complete the table below for the missing amounts:

A B C

Number of units 2,064 units (d) 2,570 units

Sales price per unit \( 250 \) 125 $ (g)

Variable costs per unit (a) 50 4,528

Contribution margin per unit 125 (e) (h)

Total contribution margin (b) 1,567,500 (i)

Contribution margin ratio (c) (f) 20%

Following is a list of costs for a furniture manufacturer that specializes in wood tables. Classify each cost as variable, fixed, or mixed relative to the number of tables produced and sold.

1. Wood used to build tables

2. Depreciation on saws and other manufacturing equipment

3. Compensation for sales representatives paid on a salary plus commission basis

4. Supervisor’s salary

5. Wages of production workers

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. Expected sales are 200 tables per month.

17. Calculate the margin of safety in units.

18. Determine the degree of operating leverage. Use expected sales.

19. The company begins manufacturing wood chairs to match the tables. Chairs sell for \)50 each and have variable costs of \(30. The new production process increases fixed costs to \)7,000 per month. The expected sales mix is one table for every four chairs. Calculate the breakeven point in units for each product.

Following is the income statement for Marrow Mufflers for the month of June 2018:

MARROW MUFFLERS

Contribution Margin Income Statement

Month Ended June 30, 2018

Net Sales Revenue (140 units _ \(250) \) 35,000

Variable Costs (140 units _ \(50) 7,000

Contribution Margin 28,000

Fixed Costs 11,500

Operating Income \) 16,500

Requirements

1. Calculate the degree of operating leverage. (Round to four decimal places.)

2. Use the degree of operating leverage calculated in Requirement 1 to estimate the change in operating income if total sales increase by 40% (assuming no change in sales price per unit). (Round interim calculations to four decimal places and final answer to the nearest dollar.)

3. Verify your answer in Requirement 2 by preparing a contribution margin income statement with the total sales increase of 40%.

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