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Chapter 6 Cost-Volume-Profit Relationships

Chapter 6 Cost-Volume-Profit Relationships. Used primarily for external reporting. Used primarily by management. The Contribution Format. Practice…. (a). (b). (c). (d). (e). (f). Per Unit. Var. Cost. Total. Total. Total. Operating. Selling. Per. Units. Fixed. Income. CM.

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Chapter 6 Cost-Volume-Profit Relationships

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  1. Chapter 6 Cost-Volume-Profit Relationships

  2. Used primarily forexternal reporting. Used primarily bymanagement. The Contribution Format

  3. Practice… (a) (b) (c) (d) (e) (f) Per Unit Var. Cost Total Total Total Operating Selling Per Units Fixed Income CM Price Unit Sold Costs $30 120,000 $720,000 $640,000 $ 10 $6 100,000 $320,000 $9 80,000 $ 160,000 $120,000

  4. Contribution-Margin Ratio • Sales revenue, variable expenses and contribution for Micro Wave can be expressed as a percentage of sales

  5. Pop Quiz Tasty Bagel is a snack shop in a strip mall. The average selling price of a bagel is $1.49 and the average variable expense per bagel is $0.36. The average fixed expense per month is $1,300. 2,100 bagels are sold each month on average. What is the CM Ratio for Tasty Bagel? a. 1.319 b. 0.758 c. 0.242 d. 4.139

  6. Break-even point in units sold Fixed expenses Unit contribution margin = Contribution Margin Method to Determine Break-even The contribution margin method is a variation of the equation method. Break-even point in total sales dollars Fixed expenses CM ratio =

  7. Pop Quiz Tasty Bagel is a snack shop in a strip mall. The average selling price of a bagel is $1.49 and the average variable expense per bagel is $0.36. The average fixed expense per month is $1,300. 2,100 bagels are sold each month on average. What is the break-even sales in units? a. 872 bagels b. 3,611 bagels c. 1,200 bagels d. 1,150 bagels

  8. Pop Quiz Tasty Bagel is a snack shop in a strip mall. The average selling price of a bagel is $1.49 and the average variable expense per bagel is $0.36. The average fixed expense per month is $1,300. 2,100 bagels are sold each month on average. What is the break-even sales in dollars? a. $1,300 b. $1,715 c. $1,788 d. $3,129

  9. Total Sales Total Expenses Fixed expenses CVP Graph Dollars Units

  10. Break-even point CVP Graph Profit Area Dollars Loss Area Units

  11. Break-even Reduction • Micro is currently selling 500 ovens per month. Break-even units are 400 per month under the current cost structure. • What would be the break-even units if fixed costs decrease to $70,000? • What would be the break-even units if variable costs were reduced to $250? • What would be the break-even units if selling price was increased to $513.33?

  12. Target Operating Profit - CM Approach Original contribution margin formula: Break Even Point in Units = Fixed Expenses Contribution Margin per Unit Target operating profit modification: Units Sold to Earn Target Profit = Fixed Expenses +Target Op. Profit Unit Contribution Margin

  13. Pop Quiz Tasty Bagel is a snack shop in a strip mall. The average selling price of a bagel is $1.49 and the average variable expense per bagel is $0.36. The average fixed expense per month is $1,300. How many bagels would have to be sold to attain target profits of $2,500 per month? a. 3,363 bagels b. 2,212 bagels c. 1,150 bagels d. 4,200 bagels

  14. Sensitivity Analysis – Fixed Costs • Micro Wave Co. is currently selling 500 ovens per month • The sales manager believes that an increase of $10,000 in the monthly advertising budget would increase sales of ovens to 540 per month • Should the increase in advertising be made?

  15. Change in Variable Costs and Sales Volume • Micro Wave management is contemplating the use of higher-quality components, which would increase variable costs by $15 per oven. However, the sales manager predicts that the overall higher quality would increase sales to 600 ovens per month. Should the higher quality components be used?

  16. Change in Fixed Cost, Sales Price, and Sales Volume • To increase sales, the sales manager would like to cut the selling price by $40 per oven and increase the advertising budget by $30,000 per month. The sales manager believes that if these two steps are taken, unit sales will increase by 60% to 800 ovens per month. Should the changes be made?

  17. Change in Variable Cost, Fixed Cost, and Sales Volume • The sales manager would like to place the sales staff on commission basis of $40 per oven sold, rather than on flat salaries that now total $10,000 per month. The sales manager is confident that the change will increase monthly sales by 15% to 575 ovens per month. Should the change be made?

  18. Change in Regular Sales Price • The company has an opportunity to make a bulk sale of 200 ovens to a wholesaler if an acceptable price can be worked out. This sale would not have any effect on the company’s regular sales. What price per oven should be quoted to the wholesaler if Micro wants to increase its Operating profits by $5,000?

  19. The Margin of Safety Excess of budgeted (or actual) sales over the break-even volume of sales. The amount by which sales can drop before losses begin to be incurred. Margin of safety = Total sales - Break-even sales Let’s calculate the margin of safety for Micro

  20. The Margin of Safety Micro has a break-even point of $200,000. If actual sales are $250,000, the margin of safety is $50,000 or 100 ovens.

  21. The Margin of Safety The margin of safety can be expressed as 20%of sales.($50,000 ÷ $250,000)

  22. Pop Quiz Tasty Bagel is a snack shop in a strip mall. The average selling price of a bagel is $1.49 and the average variable expense per bagel is $0.36. The average fixed expense per month is $1,300. 2,100 bagels are sold each month on average. What is the margin of safety? a. 3,250 bagels b. 950 bagels c. 1,150 bagels d. 2,100 bagels

  23. Cost Structure and Profitability

  24. Effect on Profit of 10% Increase in Sales Revenue

  25. Break-Even Points

  26. Margin of Safety

  27. Definition of Operating Leverage • The relative mix of a firm’s fixed and variable costs determines its operating leverage. • At a given level of sales: Degree of operating = Contribution Margin • leverage Operating Income • The higher a firm’s fixed cost as compared to its variable cost, the greater its operating leverage. • Operating leverage acts like a multiplier. The greater the operating leverage, the greater the change in operating income for a given change in sales. • Let’s calculate the operating leverage for each firm.

  28. Application of Operating Leverage • At a given level of sales, the operating leverage is a measure of how a given percentage change in sales will affect operating profits. • In fact, the operating profit will increase by the operating leverage times the percentage change in sales. • For a 10% increase in sales , Firm Alpha’s operating income increased 40% (4 times 10%). • For a 10% increase in sales , Firm Beta’s operating income increased 50% (5 times 10%). • For a 10% increase in sales , Firm Gamma’s operating income increased 60% (6 times 10%).

  29. PopQuiz Tasty Bagel is an snack shop in a strip mall. The average selling price of a bagel is $1.49 and the average variable expense per bagel is $0.36. The average fixed expense per month is $1,300. 2,100 bagels are sold each month on average. What is the operating leverage? a. 2.21 b. 0.45 c. 0.34 d. 2.92

  30. PopQuiz At Tasty Bagel the average selling price of a bagel is $1.49, the average variable expense per bagel is $0.36, and the average fixed expense per month is $1,300. 2,100 bagels are sold each month on average. If sales increase by 20%, by how much should operating income increase? a. 30.0% b. 20.0% c. 22.1% d. 44.2%

  31. Break-even Analysis (in Units) with Multiple Products Curl Company provides us with the following information: Fixed cost is $120,000. What is the break-even point in units? What are the sales of Surfboards and Sailboards at the break-even point?

  32. POP QUIZ Mark Corporation produces two models of calculators. The Business model sells for $60, and the Math model sells for $40. The variable expenses are given below: The fixed expenses are $75,000 per month. The expected monthly sales of each model are: Business, 1,000 units; Math, 500 units. The break-even point for the expected sales mix is (round to nearest whole unit): A) 833 of each B) 1,667 Business and 833 Math C) 1,667 of each D) 833 Business and 1,667 Math

  33. Break-even Analysis (in Sales Dollars) with Multiple Products Curl’s Contribution Margin income statement is shown below: $150,000 $450,000 = 33.3% What is the break-even point in Sales? What are the sales of Surfboards and Sailboards at the break-even point?

  34. Break-even Analysis (in Sales Dollars) with Multiple Products A Shift in Sales Mix $165,000 $450,000 = 36.7% What is the break-even point in Sales? How does it compare with the previous amount?

  35. Pop Quiz

  36. Assumptions Underlying CVP Analysis • Selling price is constant throughout the entire relevant range • Costs are linear over the relevant range (costs can be divided into variable and fixed) • In multi-product companies, the sales mix is constant • In manufacturing firms, inventories do not change (units produced = units sold)

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