# Cost-Volume-Profit. Managerial Accounting Fifth Edition Weygandt Kimmel Kieso. Page 5-2

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1 5-1

2 Cost-Volume-Profit Managerial Accounting Fifth Edition Weygandt Kimmel Kieso 5-2

3 study objectives 1. Distinguish between variable and fixed costs. 2. Explain the significance of the relevant range. 3. Explain the concept of mixed costs. 4. List the five components of cost-volume-profit analysis. 5. Indicate what contribution margin is and how it can be expressed. 6. Identify the three ways to determine the break-even point. 7. Give the formulas for determining sales required to earn target net income. 8. Define margin of safety, and give the formulas for computing it. 5-3

4 5-4 preview of chapter 5

5 Cost Behavior Analysis Cost Behavior Analysis is the study of how specific costs respond to changes in the level of business activity. Some costs change; others remain the same. Helps management plan operations and decide between alternative courses of action. Applies to all types of businesses and entities. 5-5

6 Cost Behavior Analysis Starting point is measuring key business activities. Activity levels may be expressed in terms of: Sales dollars (in a retail company) Miles driven (in a trucking company) Room occupancy (in a hotel) Dance classes taught (by a dance studio) Many companies use more than one measurement base. 5-6

7 Cost Behavior Analysis Changes in the level or volume of activity should be correlated with changes in costs. Activity level selected is called activity or volume index. The activity index: Identifies the activity that causes changes in the behavior of costs. Allows costs to be classified as variable, fixed, or mixed. 5-7

8 Cost Behavior Analysis Variable Costs Costs that vary in total directly and proportionately with changes in the activity level. Example: If the activity level increases 10 percent, total variable costs increase 10 percent. Example: If the activity level decreases by 25 percent, total variable costs decrease by 25 percent. Variable costs remain the same per unit at every level of activity. 5-8 SO 1 Distinguish between variable and fixed costs.

9 Cost Behavior Analysis Illustration: Damon Company manufactures radios that contain a \$10 digital clock. The activity index is the number of radios produced. As Damon manufactures each radio, the total cost of the clocks increases by \$10. As part (a) of Illustration 5-1 shows, total cost of the clocks will be \$20,000 if Damon produces 2,000 radios, and \$100,000 when it produces 10,000 radios. We also can see that a variable cost remains the same per unit as the level of activity changes. Illustration SO 1 Distinguish between variable and fixed costs.

10 Cost Behavior Analysis Illustration: Damon Company manufactures radios that contain a \$10 digital clock. The activity index is the number of radios produced. As Damon manufactures each radio, the total cost of the clocks increases by \$10. As part (b) of Illustration 5-1 shows, the unit cost of \$10 for the clocks is the same whether Damon produces 2,000 or 10,000 radios. Illustration SO 1 Distinguish between variable and fixed costs.

11 Cost Behavior Analysis Variable Costs Illustration SO 1 Distinguish between variable and fixed costs.

12 Cost Behavior Analysis Fixed Costs Costs that remain the same in total regardless of changes in the activity level. Per unit cost varies inversely with activity: As volume increases, unit cost declines, and vice versa Examples: Property taxes Insurance Rent Depreciation on buildings and equipment 5-12 SO 1 Distinguish between variable and fixed costs.

13 Cost Behavior Analysis Illustration: Damon Company leases its productive facilities at a cost of \$10,000 per month. Total fixed costs of the facilities will remain constant at every level of activity, as part (a) of Illustration 5-2 shows. Illustration SO 1 Distinguish between variable and fixed costs.

14 Cost Behavior Analysis Illustration: Damon Company leases its productive facilities at a cost of \$10,000 per month. Total fixed costs of the facilities will remain constant at every level of activity. But, on a per unit basis, the cost of rent will decline as activity increases, as part (b) of Illustration 5-2 shows. At 2,000 units, the unit cost is \$5 (\$10,000 / 2,000). When Damon produces 10,000 radios, the unit cost is only \$1 (\$10,000 / 10,000). Illustration SO 1 Distinguish between variable and fixed costs.

15 Cost Behavior Analysis Fixed Costs Illustration SO 1 Distinguish between variable and fixed costs.

16 Cost Behavior Analysis Review Question Variable costs are costs that: a. Vary in total directly and proportionately with changes in the activity level. b. Remain the same per unit at every activity level. c. Neither of the above. d. Both (a) and (b) above Solution on notes page SO 1 Distinguish between variable and fixed costs.

17 Cost Behavior Analysis Relevant Range Throughout the range of possible levels of activity, a straight-line relationship usually does not exist for either variable costs or fixed costs. The relationship between variable costs and changes in activity level is often curvilinear. For fixed costs, the relationship is also nonlinear some fixed costs will not change over the entire range of activities while other fixed costs may change SO 2 Explain the significance of the relevant range.

18 Cost Behavior Analysis Relevant Range Illustration SO 2 Explain the significance of the relevant range.

19 Cost Behavior Analysis Relevant Range - Range of activity over which a company expects to operate during a year. Illustration SO 2 Explain the significance of the relevant range.

20 Cost Behavior Analysis Review Question The relevant range is: a. The range of activity in which variable costs will be curvilinear. b. The range of activity in which fixed costs will be curvilinear. c. The range over which the company expects to operate during a year. d. Usually from zero to 100% of operating capacity SO 2 Explain the significance of the relevant range.

21 Cost Behavior Analysis Mixed Costs Costs that have both a variable cost element and a fixed cost element. Change in total but not proportionately with changes in activity level. Illustration SO 3 Explain the concept of mixed costs.

22 Cost Behavior Analysis K Christel, LLP, reports the following total costs at two levels of production. Classify each cost as variable, fixed, or mixed. Variable Fixed Mixed 5-22 SO 3 Explain the concept of mixed costs.

23 Cost Behavior Analysis Mixed Costs - High-Low Method Mixed costs must be classified into their fixed and variable elements. High-Low Method uses the total costs incurred at both the high and the low levels of activity to classify mixed costs. The difference in costs between the high and low levels represents variable costs, since only variable costs change as activity levels change SO 3 Explain the concept of mixed costs.

24 Cost Behavior Analysis Mixed Costs - High-Low Method STEP 1: Determine variable cost per unit using the following formula: Illustration SO 3 Explain the concept of mixed costs.

25 Cost Behavior Analysis Mixed Costs - High-Low Method Illustration: Metro Transit Company has the following maintenance costs and mileage data for its fleet of buses over a 4-month period. Illustration Change in Costs (63,000-30,000) \$33,000 High minus Low (50,000-20,000) 30,000 = \$1.10 cost per unit SO 3 Explain the concept of mixed costs.

26 Cost Behavior Analysis Mixed Costs - High-Low Method STEP 2: Determine the fixed cost by subtracting the total variable cost at either the high or the low activity level from the total cost at that level Illustration SO 3 Explain the concept of mixed costs.

27 Cost Behavior Analysis Mixed Costs - High-Low Method Maintenance costs are therefore \$8,000 per month plus \$1.10 per mile. This is represented by the following formula: Maintenance costs = Fixed costs + (\$1.10 x Miles driven) Example: At 45,000 miles, estimated maintenance costs would be: Fixed \$ 8,000 Variable (\$1.10 x 45,000) 49,500 \$57, SO 3 Explain the concept of mixed costs.

28 Cost Behavior Analysis Review Question Mixed costs consist of a: a. Variable cost element and a fixed cost element. b. Fixed cost element and a controllable cost element. c. Relevant cost element and a controllable cost element. d. Variable cost element and a relevant cost element SO 3 Explain the concept of mixed costs.

29 Cost Behavior Analysis K Christel, LLP, accumulates the following data concerning a mixed cost, using units produced as the activity level. (a) Compute the variable and fixed cost elements using the highlow method (b) Estimate the total cost if the company produces 6,000 units. SO 3 Explain the concept of mixed costs.

30 Cost Behavior Analysis (a) Compute the variable and fixed cost elements using the highlow method. Variable cost: (\$14,740 - \$11,100) / (9,800-7,000) = \$1.30 per unit Fixed cost: \$14,740 - \$12,740 (\$1.30 x 9,800 units) = \$2,000 or \$11,100 - \$9,100 (\$1.30 x 7,000) = \$2, SO 3 Explain the concept of mixed costs.

31 Cost Behavior Analysis (b) Estimate the total cost if the company produces 6,000 units. Total cost (6,000 units): \$2,000 + \$7,800 (\$1.30 x 6,000) = \$9, SO 3 Explain the concept of mixed costs.

32 Cost-Volume-Profit Analysis Study of the effects of changes of costs and volume on a company s profits A critical factor in management decisions Important in profit planning 5-32 SO 4 List the five components of cost-volume-profit analysis.

33 Cost-Volume-Profit Analysis Basic Components Illustration SO 4 List the five components of cost-volume-profit analysis.

34 Cost-Volume-Profit Analysis Basic Components - Assumptions Behavior of both costs and revenues is linear throughout the relevant range of the activity index. All costs can be classified as either variable or fixed with reasonable accuracy. Changes in activity are the only factors that affect costs. All units produced are sold. When more than one type of product is sold, the sales mix will remain constant SO 4 List the five components of cost-volume-profit analysis.

35 Cost-Volume-Profit Analysis Review Question Which of the following is NOT involved in CVP analysis? a. Sales mix. b. Unit selling prices. c. Fixed costs per unit. d. Volume or level of activity SO 4 List the five components of cost-volume-profit analysis.

36 Cost-Volume-Profit Analysis CVP Income Statement A statement for internal use. Classifies costs and expenses as fixed or variable. Reports contribution margin in the body of the statement. Contribution margin amount of revenue remaining after deducting variable costs Reports the same net income as a traditional income statement SO 5 Indicate what contribution margin is and how it can be expressed.

37 Cost-Volume-Profit Analysis CVP Income Statement Illustration: Vargo Video produces a high-definition digital camcorder with 15 optical zoom and a wide-screen, high-resolution LCD monitor. Relevant data for the camcorders sold by this company in June 2011 are as follows. Illustration SO 5 Indicate what contribution margin is and how it can be expressed.

38 Cost-Volume-Profit Analysis CVP Income Statement Illustration: The CVP income statement for Vargo Video therefore would be reported as follows. Illustration SO 5 Indicate what contribution margin is and how it can be expressed.

39 Cost-Volume-Profit Analysis CVP Income Statement Contribution Margin per Unit Contribution margin is available to cover fixed costs and to contribute to income. The formula for contribution margin per unit and the computation for Vargo Video are: Illustration SO 5 Indicate what contribution margin is and how it can be expressed.

40 Cost-Volume-Profit Analysis CVP Income Statement Contribution Margin per Unit Vargo s CVP income statement assuming a zero net income. Illustration SO 5 Indicate what contribution margin is and how it can be expressed.

41 Cost-Volume-Profit Analysis CVP Income Statement Contribution Margin per Unit Assume that Vargo sold one more camcorder, for a total of 1,001 camcorders sold. Illustration SO 5 Indicate what contribution margin is and how it can be expressed.

42 Cost-Volume-Profit Analysis CVP Income Statement Contribution Margin Ratio Shows the percentage of each sales dollar available to apply toward fixed costs and profits. The formula for contribution margin ratio and the computation for Vargo Video are: Illustration SO 5 Indicate what contribution margin is and how it can be expressed.

43 Cost-Volume-Profit Analysis CVP Income Statement Contribution Margin Ratio Assume current sales are \$500,000, what is the effect of a \$100,000 (200-unit) increase in sales? Illustration SO 5 Indicate what contribution margin is and how it can be expressed.

44 Cost-Volume-Profit Analysis Review Question Contribution margin: a. Is revenue remaining after deducting variable costs. b. May be expressed as contribution margin per unit. c. Is selling price less cost of goods sold. d. Both (a) and (b) above SO 5 Indicate what contribution margin is and how it can be expressed.

45 Cost-Volume-Profit Analysis Break-Even Analysis Process of finding the break-even point level of activity at which total revenues equal total costs (both fixed and variable). Can be computed or derived from a mathematical equation, by using contribution margin, or from a cost-volume profit (CVP) graph. Expressed either in sales units or in sales dollars SO 6 Identify the three ways to determine the break-even point.

46 Cost-Volume-Profit Analysis Break-Even Analysis Mathematical Equation Break-even occurs where total sales equal variable costs plus fixed costs; i.e., net income is zero. Illustration 5-18 Computation of break-even point in units SO 6 Identify the three ways to determine the break-even point.

47 Cost-Volume-Profit Analysis Break-Even Analysis Contribution Margin Technique At the break-even point, contribution margin must equal total fixed costs (CM = total revenues variable costs) The break-even point can be computed using either contribution margin per unit or contribution margin ratio SO 6 Identify the three ways to determine the break-even point.

48 Cost-Volume-Profit Analysis Break-Even Analysis Contribution Margin Technique When the BEP in units is desired, contribution margin per unit is used in the following formula which shows the computation for Vargo Video: Illustration SO 6 Identify the three ways to determine the break-even point.

49 Cost-Volume-Profit Analysis Break-Even Analysis Contribution Margin Technique When the BEP in dollars is desired, contribution margin ratio is used in the following formula which shows the computation for Vargo Video: Illustration SO 6 Identify the three ways to determine the break-even point.

50 Cost-Volume-Profit Analysis Break-Even Analysis Graphic Presentation Illustration 5-21 Because this graph also shows costs, volume, and profits, it is referred to as a cost-volume-profit (CVP) graph SO 6 Identify the three ways to determine the break-even point.

51 Cost-Volume-Profit Analysis Review Question Gossen Company is planning to sell 200,000 pliers for \$4 per unit. The contribution margin ratio is 25%. If Gossen will break even at this level of sales, what are the fixed costs? a. \$100,000. b. \$160,000. c. \$200,000. d. \$300, Solution on note page SO 6 Identify the three ways to determine the break-even point.

52 Cost-Volume-Profit Analysis K Christel, LLP, has a unit selling price of \$400, variable costs per unit of \$240, and fixed costs of \$180,000. Compute the break-even point in units using (a) a mathematical equation and (b) contribution margin per unit. Illustration 5-17 \$400Q = \$240Q + \$180, \$160Q = \$180,000 Q = 1,125 units 5-52 Solution on note page SO 6 Identify the three ways to determine the break-even point.

53 Cost-Volume-Profit Analysis K Christel, LLP, has a unit selling price of \$400, variable costs per unit of \$240, and fixed costs of \$180,000. Compute the break-even point in units using (a) a mathematical equation and (b) contribution margin per unit. Illustration 5-19 \$180,000 / \$160 = 1,125 per unit 5-53 SO 6 Identify the three ways to determine the break-even point.

54 Cost-Volume-Profit Analysis Target Net Income Level of sales necessary to achieve a specified income. Can be determined from each of the approaches used to determine break-even sales/units: from a mathematical equation, by using contribution margin, or from a cost-volume profit (CVP) graph. Expressed either in sales units or in sales dollars SO 7 Give the formulas for determining sales required to earn target net income.

55 Cost-Volume-Profit Analysis Target Net Income Mathematical Equation Using the formula for the break-even point, simply include the desired net income as a factor. Illustration SO 7

56 Cost-Volume-Profit Analysis Target Net Income Contribution Margin Technique To determine the required sales in units for Vargo Video: Illustration SO 7 Give the formulas for determining sales required to earn target net income.

57 Cost-Volume-Profit Analysis Target Net Income Contribution Margin Technique To determine the required sales in dollars for Vargo Video: Illustration SO 7 Give the formulas for determining sales required to earn target net income.

58 Cost-Volume-Profit Analysis Review Question The mathematical equation for computing required sales to obtain target net income is: Required sales = a. Variable costs + Target net income. b. Variable costs + Fixed costs + Target net income. c. Fixed costs + Target net income. d. No correct answer is given Solution on note page SO 7 Give the formulas for determining sales required to earn target net income.

59 Cost-Volume-Profit Analysis Margin of Safety Difference between actual or expected sales and sales at the break-even point. Measures the cushion that management has if expected sales fail to materialize. May be expressed in dollars or as a ratio. Assuming actual/expected sales are \$750,000: Illustration SO 8 Define margin of safety, and give the formulas for computing it.

60 Cost-Volume-Profit Analysis Margin of Safety Ratio Computed by dividing the margin of safety in dollars by the actual or expected sales. Assuming actual/expected sales are \$750,000: Illustration 5-27 The higher the dollars or percentage, the greater the margin of safety SO 8 Define margin of safety, and give the formulas for computing it.

61 Cost-Volume-Profit Analysis Review Question Marshall Company had actual sales of \$600,000 when break-even sales were \$420,000. What is the margin of safety ratio? a. 25%. b. 30%. c. 33 1/3%. d. 45% Solution on note page SO 8 Define margin of safety, and give the formulas for computing it.

62 Cost-Volume-Profit Analysis K Christel, LLP, makes travel bags that sell for \$56 each. For the coming year, management expects fixed costs to total \$320,000 and variable costs to be \$42 per unit. Compute the following: (a) break-even point in dollars using the contribution margin (CM) ratio; (b) the margin of safety assuming actual sales are \$1,382,400; and (c) the sales dollars required to earn net income of \$410, SO 8 Define margin of safety, and give the formulas for computing it.

63 Cost-Volume-Profit Analysis Compute: (a) break-even point in dollars using the contribution margin (CM) ratio. Unit selling price \$56 Unit variable costs - 42 Contribution margin per unit 14 Unit selling price 56 Contribution margin ratio 25% Fixed costs \$320,000 Contribution margin ratio 25% Break-even sales in dollars \$1,280, Solution on note page SO 8 Define margin of safety, and give the formulas for computing it.

64 Cost-Volume-Profit Analysis Compute: (b) the margin of safety assuming actual sales are \$1,382,400. Actual (Expected) sales \$ 1,382,400 Break-even sales - 1,280,000 Margin of safety in dollars 102,400 Actual (Expected) sales 1,382,400 Margin of safety ratio 7.4% 5-64 Solution on note page SO 8 Define margin of safety, and give the formulas for computing it.

65 Cost-Volume-Profit Analysis Compute: (c) the sales dollars required to earn net income of \$410,000. Fixed costs \$ 320,000 Target net income + 410, ,000 Contribution margin ratio 25% Required sales in dollars \$2,920, Solution on note page SO 8 Define margin of safety, and give the formulas for computing it.

66 Ford plans to sell at least seven different models of hybrid cars, about 250,000 vehicles annually, by the end of the decade. Hybrid vehicles typically cost \$3,000 to \$5,000 more than their conventional counterparts, although for some models the premium is higher. 5-66

67 Some companies, such as Bank of America and Timberland, have offered \$3,000 to employees who purchase hybrids. Google offered \$5,000 to employees who purchased cars that get at least 45 miles per gallon. The most fuel-efficient hybrids the Toyota Prius and the Honda Civic can save about \$660 per year in fuel costs relative to a similar conventional car. Each gallon of gasoline that is not consumed reduces carbon dioxide emissions by 19 pounds. The federal government initially provided tax credits of up to \$3,400 to buyers of hybrids. 5-67

68 As the graph below indicates, sales of hybrid cars continued to show a steady increase between 2004 and Many analysts believe that hybrid car sales are directly related to gasoline prices. This is reflected in the recent sluggish sales of hybrid cars, as gasoline prices have dramatically dropped from the price levels Source: HybridCars.com Market Dashboard, October 2008 Dashboard.

69 Gas prices are depleting your wallet so fast that you might even have to give up your old car and resort to walking or riding your bike on occasion. Will making the investment in a hybrid slow the outflow from your wallet and spare your feet? YES: At 44 miles per gallon, I can drive forever without ever having to fill up. NO: Because of the premium price charged for hybrids, I will never drive enough miles to break even on my investment. 5-69

70 Comprehensive Mabo Company makes calculators that sell for \$20 each. For the coming year, management expects fixed costs to total \$220,000 and variable costs to be \$9 per unit. Instructions 5-70 a) Compute break-even point in units using the mathematical equation. b) Compute break-even point in dollars using the contribution margin (CM) ratio. c) Compute the margin of safety percentage assuming actual sales are \$500,000. d) Compute the sales required in dollars to earn net income of \$165,000.

71 Comprehensive Mabo Company makes calculators that sell for \$20 each. For the coming year, management expects fixed costs to total \$220,000 and variable costs to be \$9 per unit. Compute break-even point in units using the mathematical equation. \$20Q = \$9Q + \$220,000 + \$0 \$11Q = \$220,000 Q = 20,000 units 5-71 Solution on note page

72 Comprehensive Mabo Company makes calculators that sell for \$20 each. For the coming year, management expects fixed costs to total \$220,000 and variable costs to be \$9 per unit. Compute break-even point in dollars using the contribution margin (CM) ratio. Contribution margin per unit = \$20 - \$9 = \$11 Contribution margin ratio = \$11 / \$20 = 55% Break-even point in dollars = \$220,000 / 55% = \$400, Solution on note page

73 Comprehensive Mabo Company makes calculators that sell for \$20 each. For the coming year, management expects fixed costs to total \$220,000 and variable costs to be \$9 per unit. Compute the margin of safety percentage assuming actual sales are \$500,000. Margin of safety = \$500,000 - \$400,000 \$500,000 = 20% 5-73 Solution on note page

74 Comprehensive Mabo Company makes calculators that sell for \$20 each. For the coming year, management expects fixed costs to total \$220,000 and variable costs to be \$9 per unit. Compute the sales required in dollars to earn net income of \$165,000. \$20Q = \$9Q + \$220,000 + \$165,000 \$11Q = \$385,000 Q = 35,000 units 35,000 units x \$20 = \$700,000 required sales 5-74 Solution on note page

75 Copyright Copyright 2010 John Wiley & Sons, Inc. All rights reserved. Reproduction or translation of this work beyond that permitted in Section 117 of the 1976 United States Copyright Act without the express written permission of the copyright owner is unlawful. Request for further information should be addressed to the Permissions Department, John Wiley & Sons, Inc. The purchaser may make back-up copies for his/her own use only and not for distribution or resale. The Publisher assumes no responsibility for errors, omissions, or damages, caused by the use of these programs or from the use of the information contained herein. 5-75

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