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Identify Sensitive Variables © Dale R. Geiger 20111.

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Presentation on theme: "Identify Sensitive Variables © Dale R. Geiger 20111."— Presentation transcript:

1 Identify Sensitive Variables © Dale R. Geiger 20111

2 We assume cross traffic will stop. What if our assumption is incorrect? © Dale R. Geiger 20112

3 Terminal Learning Objective Action: Identify Sensitive Variables Through What-if Scenarios Condition: You are a cost advisor technician with access to all regulations/course handouts, and awareness of Operational Environment (OE)/Contemporary Operational Environment (COE) variables and actors. Standard: With 80% accuracy: 1.Define “sensitive variable” 2.Calculate new breakeven point given changes in assumptions 3.Calculate breakeven selling price for a given sales quantity 4.Solve for missing variables in the breakeven equation given changed assumptions © Dale R. Geiger 2011 3

4 Review: Key Variables and Assumptions: The Breakeven Equation: Revenue - Variable Cost - Fixed Cost = Profit What are the key variables? Revenue = #Units Sold * Selling Price $/Unit Variable Cost = #Units Sold * Variable Cost $/Unit Assumes… ONLY ONE product or service is sold © Dale R. Geiger 20114

5 Review: Key Variables and Assumptions: The Breakeven Equation: Revenue - Variable Cost - Fixed Cost = Profit What are the key variables? Revenue = #Units Sold * Selling Price $/Unit Variable Cost = #Units Sold * Variable Cost $/Unit Assumes… ONLY ONE product or service is sold © Dale R. Geiger 20115

6 Review: Key Variables and Assumptions: The Breakeven Equation: Revenue - Variable Cost - Fixed Cost = Profit What are the key variables? Revenue = #Units Sold * Selling Price $/Unit Variable Cost = #Units Sold * Variable Cost $/Unit Assumes… ONLY ONE product or service is sold © Dale R. Geiger 20116

7 Review: Key Variables and Assumptions: The Breakeven Equation: Revenue - Variable Cost - Fixed Cost = Profit What are the key variables? Revenue = #Units Sold * Selling Price $/Unit Variable Cost = #Units Sold * Variable Cost $/Unit Assumes ONLY ONE product or service is sold © Dale R. Geiger 20117

8 Importance of Assumptions Making assumptions is inescapable in managerial costing There is simply too much to measure and too many ways to measure it Reasonable assumptions simplify and facilitate the measurement process Bad assumptions result in poor management decision making © Dale R. Geiger 20118

9 Check on Learning What are two key assumptions in Breakeven Analysis? Why are assumptions important? © Dale R. Geiger 20119

10 What is Sensitivity Analysis? Recognizes that the validity of the decision depends on the validity of the underlying assumptions Requires the Decision Maker to identify assumptions Tests the validity of assumptions through What-If scenarios © Dale R. Geiger 201110

11 What if? How does my decision point or breakeven point change if I change an assumption or an estimate? How does that change affect the overall result? Large overall changes resulting from relatively minor changes in assumptions and estimates represent sensitive variables © Dale R. Geiger 201111

12 Check on Learning How do we test our assumptions? What is a sensitive variable? © Dale R. Geiger 201112

13 What If? Example: Sebastian’s Dinner Theater Revenue = $30/Ticket Variable Cost = $10/Ticket Fixed Cost = $2000 Breakeven point = 100 Tickets How does breakeven point in units change if: Price decreases by $5/Ticket? Increases by $10? Unit variable cost increases 20%? Decreases 10%? Fixed cost increases by 10%? Decreases by 20%? © Dale R. Geiger 201113

14 Sensitive Variables $5 decrease in ticket price (17%) causes: 25% decrease in unit Contribution Margin 33% increase in the breakeven point in units The 20% increase in unit Variable Cost causes: 10% decrease in unit Contribution Margin 11% increase in breakeven point in units Which variable would you define as sensitive? © Dale R. Geiger 201114

15 Check on Learning How will breakeven point in units change if fixed cost increases? How will breakeven point in units change if Contribution Margin increases? © Dale R. Geiger 201115

16 Sensitivity and Breakeven The breakeven equation includes five variables: Number of Units, Selling Price per Unit, Variable Cost per Unit, Fixed Cost, and Target Profit Revenue – VC – FC = Profit -or- (Price$/Unit*#Units) – (VC$/Unit*#Units) – FC = Profit So far, we have assumed all variables are known except Number of Units What if one of the other variables is the unknown? © Dale R. Geiger 201116

17 Sensitivity and Breakeven © Dale R. Geiger 201117

18 Sensitivity and Breakeven © Dale R. Geiger 201118

19 Sensitivity and Breakeven © Dale R. Geiger 201119

20 Sensitivity and Breakeven © Dale R. Geiger 201120

21 Sensitivity and Breakeven © Dale R. Geiger 201121

22 Sensitivity and Breakeven © Dale R. Geiger 201122

23 Sensitivity and Breakeven © Dale R. Geiger 201123

24 Sensitivity and Breakeven The breakeven equation includes five variables: Number of Units, Selling Price per Unit, Variable Cost per Unit, Fixed Cost, and Target Profit Revenue – VC – FC = Profit -or- (Price$/Unit*#Units) – (VC$/Unit*#Units) – FC = Profit So far, we have assumed all variables are known except Number of Units What if one of the other variables is the unknown? © Dale R. Geiger 201124

25 What Ifs Involving Other Variables What if quantity of tickets is limited to 80 due to building capacity? Task: Calculate the breakeven price per ticket How would you set up the equation? What is the unknown variable? How would you express Revenue? Variable Cost? © Dale R. Geiger 201125

26 Solving for Breakeven $Price Revenue - Variable Cost - Fixed Cost = Profit $Price/Tkt(80 Tkts) - $10/Tkt(80 Tkts) - $2000 = $0 $Price(80) - $10(80) - $2000 = $0 $Price(80) - $800 - $2000 = $0 $Price(80) - $2800 = $0 $Price(80) = $2800 $Price = $2800/80 $Price =$35 © Dale R. Geiger 201126

27 Solving for Breakeven $Price Revenue - Variable Cost - Fixed Cost = Profit $Price/Tkt(80 Tkts) - $10/Tkt(80 Tkts) - $2000 = $0 $Price(80) - $10(80) - $2000 = $0 $Price(80) - $800 - $2000 = $0 $Price(80) - $2800 = $0 $Price(80) = $2800 $Price = $2800/80 $Price =$35 © Dale R. Geiger 201127

28 Solving for Breakeven $Price Revenue - Variable Cost - Fixed Cost = Profit $Price/Tkt(80 Tkts) - $10/Tkt(80 Tkts) - $2000 = $0 $Price(80) - $10(80) - $2000 = $0 $Price(80) - $800 - $2000 = $0 $Price(80) - $2800 = $0 $Price(80) = $2800 $Price = $2800/80 $Price =$35 © Dale R. Geiger 201128

29 Solving for Breakeven $Price Revenue - Variable Cost - Fixed Cost = Profit $Price/Tkt(80 Tkts) - $10/Tkt(80 Tkts) - $2000 = $0 $Price(80) - $10(80) - $2000 = $0 $Price(80) - $800 - $2000 = $0 $Price(80) - $2800 = $0 $Price(80) = $2800 $Price = $2800/80 $Price =$35 © Dale R. Geiger 201129

30 Solving for Breakeven $Price Revenue - Variable Cost - Fixed Cost = Profit $Price/Tkt(80 Tkts) - $10/Tkt(80 Tkts) - $2000 = $0 $Price(80) - $10(80) - $2000 = $0 $Price(80) - $800 - $2000 = $0 $Price(80) - $2800 = $0 $Price(80) = $2800 $Price = $2800/80 $Price =$35 © Dale R. Geiger 201130

31 Proof © Dale R. Geiger 201131

32 Graphic Solution – 80 Tickets $ X Axis = Unknown Price per Ticket Revenue increases as ticket price increases $35 VC = 80 tickets * $10/ticket FC = $2000 Total Cost = $2800 VC = 80 tickets * $10/ticket FC = $2000 Total Cost = $2800 © Dale R. Geiger 2011 32

33 Interpreting the Result In order to breakeven at a volume of 80 tickets, we must charge $35 per ticket. Questions to ask: Is the new price reasonable? Can we sell all 80 tickets for $35/ticket? What other factors might be considered? © Dale R. Geiger 201133

34 Check on Learning When number of units is known, how will variable cost be expressed in the breakeven equation? What does the horizontal (x) axis represent on the graph? © Dale R. Geiger 201134

35 What Ifs Involving Other Variables What if the market will not bear an increase in ticket price above $30? AND Fixed Cost increases by 10%? Task: Calculate the target variable cost per ticket that will maintain a breakeven of 100 tickets How would you set up the equation? What is the unknown variable? How would you express Revenue? Variable Cost? © Dale R. Geiger 201135

36 Solving for Breakeven $VC/Ticket Revenue - Variable Cost - Fixed Cost = Profit $30/Tkt(100 Tkts) - $VC/Tkt(100 Tkts) - $2000(1+.1) = $0 $30(100) - $VC(100) - $2000(1+.1) = $0 $30(100) - $VC(100) - $2200 = $0 $3000 - $VC(100) - $2200 = $0 $800 - $VC(100) = $0 - $VC(100) = - $800 $VC = - $800/-100 $VC = $8 © Dale R. Geiger 201136

37 Solving for Breakeven $VC/Ticket © Dale R. Geiger 201137

38 Proof © Dale R. Geiger 201138

39 Graphic Solution – 100 Tickets X Axis = Variable Cost per Ticket Total cost increases as variable cost per ticket increases $8 Revenue = 100 tickets * $30/ticket © Dale R. Geiger 2011 39

40 Interpreting the Result In order to maintain the breakeven point of 100 tickets, we need to reduce variable cost per ticket from $10 to $8. Questions to ask: How can we achieve this reduction? Is this reasonable? What other factors should be considered? © Dale R. Geiger 201140

41 Sensitivity Analysis Spreadsheet Select the “Solve Breakeven VC” Tab © Dale R. Geiger 201141

42 Sensitivity Analysis Spreadsheet Help messages appear when you mouse over the question marks © Dale R. Geiger 201142

43 Sensitivity Analysis Spreadsheet Enter problem data into the white cells: # units = 100 $price/unit = $30 Fixed Cost = $2000 +$200 Profit Target = $0 (default value) Enter problem data into the white cells: # units = 100 $price/unit = $30 Fixed Cost = $2000 +$200 Profit Target = $0 (default value) The spreadsheet automatically calculates the unknown VC$/Unit © Dale R. Geiger 2011 43

44 What Ifs Involving Other Variables What if the market will not bear an increase in ticket price above $30? Variable cost increases by 30% Task: Calculate target fixed cost that will maintain a breakeven point of 100 tickets What is the unknown variable? Which spreadsheet tool will I use? How would I set up the equation? © Dale R. Geiger 201144

45 Solving for Breakeven $Fixed Cost Revenue - Variable Cost - Fixed Cost = Profit $30/Tkt(100 Tkts) - $10/Tkt(1+.3)(100 Tkts) - $FC = $0 $30(100) - $10(1+.3)(100) - $FC = $0 $30(100) - $13(100) - $FC = $0 $3000 - $1300 - $FC = $0 $1700 - $FC = $0 $FC = $1700 © Dale R. Geiger 201145

46 Solving for Breakeven $Fixed Cost © Dale R. Geiger 201146

47 Proof © Dale R. Geiger 201147

48 Graphic Solution – 100 Tickets $ X Axis = Unknown Fixed Cost Total cost increases as Fixed Cost increases $1700 VC = 100 tickets * $13/ticket Revenue = 100 tickets * $30/tkt VC = 100 tickets * $13/ticket Revenue = 100 tickets * $30/tkt © Dale R. Geiger 2011 48

49 Interpreting the Result In order to maintain the breakeven point of 100 tickets, we need to reduce fixed cost from $2000 to $1700. Questions to ask: How can we achieve this reduction? Is this reasonable? What other factors should be considered? © Dale R. Geiger 201149

50 Sensitivity Analysis Spreadsheet Your spreadsheet should look like this © Dale R. Geiger 201150

51 Sensitivity Analysis Spreadsheet Your graph should look like this © Dale R. Geiger 201151

52 Check on Learning When using the Sensitivity Analysis Spreadsheet, what is the first question we should ask? Once we have found the solution to the unknown variable, what questions should we ask? © Dale R. Geiger 201152

53 Sales Mix Issues Remember our key assumptions! What if an entity sells more than one product? Breakeven analysis is based on the Sales Mix What percentage of the Total Sales in units does each product comprise? © Dale R. Geiger 201153

54 Sales Mix Example Sebastian’s Dinner Theater offers a Senior Discount in addition to regular price Senior price is $20 per ticket Seniors receive a reduced food portion Variable cost = $7 per ticket. Sales Mix is 30% Senior and 70% Regular Regular price is $30 and Variable Cost is $10/ticket Fixed costs = $2000. Task: Calculate the breakeven number of tickets © Dale R. Geiger 201154

55 Sales Mix Calculate Weighted Average $Price/Ticket: percentage 1 * price 1 + percentage 2 * price 2 30%*$20 + 70%*$30 = $6 + $21 = $27 percentage 1 and price 1 represent Senior tickets percentage 2 and price 2 represent Regular tickets © Dale R. Geiger 201155

56 Sales Mix Calculate Weighted Average $VC/Ticket: percentage 1 * VC 1 + percentage 2 * VC 2 30%*$7 + 70%*$10 = $2.10 + $7 = $9.10 percentage 1 and VC 1 represent Senior tickets percentage 2 and VC 2 represent Regular tickets © Dale R. Geiger 201156

57 Sales Mix What is the weighted average Contribution Margin per unit? $CM/Ticket = $Price/Ticket - $VC/Ticket $27/Ticket - $9.10/Ticket = $17.90/Ticket For each Ticket sold, profit will increase by an average of $17.90 © Dale R. Geiger 201157

58 Sales Mix Use the Sales Mix tab on the 9.2 Sensitivity Analysis spreadsheet to calculate: Weighted average price Weighted average variable cost per unit Weighted Average contribution margin Breakeven point © Dale R. Geiger 201158

59 Sensitivity Analysis Spreadsheet Enter the percentage for each product The spreadsheet will verify that the total equals 100% Enter the percentage for each product The spreadsheet will verify that the total equals 100% © Dale R. Geiger 201159

60 Sensitivity Analysis Spreadsheet Enter price per unit and variable cost per unit for each product The spreadsheet calculates CM per unit for each product, and weighted average selling price, variable cost, and contribution margin © Dale R. Geiger 201160

61 Sensitivity Analysis Spreadsheet Enter the Fixed Cost The spreadsheet calculates the quantity of each type of product and the total number of units that must be sold to breakeven © Dale R. Geiger 201161

62 Breakeven Theory © Dale R. Geiger 201162

63 Graphic Illustration © Dale R. Geiger 201163

64 What if? How would the breakeven point change if the actual sales mix was 40% Senior and 60% Regular? 50/50? What else might Sebastian’s management consider in this decision? © Dale R. Geiger 201164

65 Check on Learning What is the first step when calculating breakeven for an entity that sells more than one product? © Dale R. Geiger 201165

66 Practical Exercises © Dale R. Geiger 201166

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