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Cost Volume Profit Analysis
CostVolume Profit AnalysisCostVolume Profit Analysis
IntroductionIntroduction
The Profit FunctionThe Profit Function
Breakeven AnalysisBreakeven Analysis
Differential Cost AnalysisDifferential Cost Analysis
IntroductionIntroduction
The Profit EquationThe Profit Equation
Operating
Profit
Total
Revenue
Total
Costs= –
Operating profit equals total revenueOperating profit equals total revenue
less total costs.less total costs.
π = TR – TC
The Profit EquationThe Profit Equation
Total
Revenue
Average Selling
Price Per Unit
Units of
Output
= ×
TR = P × Q
The Profit EquationThe Profit Equation
Total
Costs
Variable Costs
Per Unit
Units of
Output
= ×
TC = (V × Q) + F
Fixed
Costs
+
The Profit EquationThe Profit Equation
Now, we’ll expand ourNow, we’ll expand our
original equation for profits!original equation for profits!
(P × Q) - [(V × Q) + F]=π
The Profit EquationThe Profit Equation
Now, we’ll expand ourNow, we’ll expand our
original equation for profits!original equation for profits!
(P × X) - [(V × X) + F]=
(P – V)Q – F=
π
π
ExampleExample
Here is the information from the Mr. X Bikes:
Total Per Unit Percent
Sales (500 bikes) 250,000$ 500$ 100%
Less: variable expenses 150,000 300 60%
Contribution margin 100,000$ 200$ 40%
Less: fixed expenses 80,000
Net income 20,000$
Finding TargetVolumesFinding TargetVolumes
The formula to find a volume expressed in units
for a target profit is . . .
Target
Volume
(units)
=
Fixed costs + Target profit
Contribution margin per unit
How many bikes must Mr X sell to
earn an annual profit of $100,000?
TargetVolume in Sales DollarsTargetVolume in Sales Dollars
The equation for finding the target volume in
sales dollars is . . .
Fixed costs + Target profit
Contribution margin ratioContribution margin ratio
Target
Volume
(sales $)
=
Finding the Break-Even PointFinding the Break-Even Point
The Break-Even PointBreak-Even Point is the volume level
where profits equal zero.
To find the break-even point in unitsunits, we use
the target volume in unitstarget volume in units equation and set
the profit to zero.
To find the break-even point in sales dollarssales dollars,
we use the target volume in sales dollarstarget volume in sales dollars
equation and set the profit to zero.
Break-Even in Units and dollarsBreak-Even in Units and dollars
Let’s use the Mr X Bikes information again.
Total Per Unit Percent
Sales (500 bikes) 250,000$ 500$ 100%
Less: variable expenses 150,000 300 60%
Contribution margin 100,000$ 200$ 40%
Less: fixed expenses 80,000
Net income 20,000$
Contribution margin ratio
Contribution margin per unit
Break-Even in UnitsBreak-Even in Units
Break-Even
Volume
(units)
=
Fixed costs
Contribution margin per unit
= $80,000
200
= 400 units
Break-Even in Sales DollarsBreak-Even in Sales Dollars
= $200000
$80,000
.40
Fixed costs
Contribution margin ratio
Break-Even
Volume
(sales $)
=
=
Graphic PresentationGraphic Presentation
Consider the following information for X Bikes:
Income
300 units
Income
400 units
Income
500 units
Sales 150,000$ 200,000$ 250,000$
Less: variable expenses 90,000 120,000 150,000
Contribution margin 60,000$ 80,000$ 100,000$
Less: fixed expenses 80,000 80,000 80,000
Net income (loss) (20,000)$ -$ 20,000$
-
50,000
100,000
150,000
200,000
250,000
300,000
350,000
400,000
450,000
- 100 200 300 400 500 600 700 800
Graphic PresentationGraphic Presentation
Volume per period (X)
Dollars
-
50,000
100,000
150,000
200,000
250,000
300,000
350,000
400,000
450,000
- 100 200 300 400 500 600 700 800
Graphic PresentationGraphic Presentation
Break-even point
Dollars
Volume per period (X)
Using CVP to Analyze DifferentUsing CVP to Analyze Different
Cost StructuresCost Structures
 Operating leverageOperating leverage
 Margin of safetyMargin of safety
Operating leverageOperating leverage
Is a measure of how sensitive net operating
income is to percentage change in sales.
Degree of Operating leverageOperating leverage ==
Contribution margin
Net operating income
$100000
$20000
==
= 5= 5
Margin of SafetyMargin of Safety
Excess of projected (or actual) sales over the break-
even volume.
The amount by which sales can fall before the company
is in the loss area of the break-even graph.
Sales Volume - Break even sales volumeSales Volume - Break even sales volumeMargin of Safety =Margin of Safety =
== $250000 -250000 -Fixed costsFixed costs
CM ratioCM ratio
= $250000 -= $250000 -$80000$80000
.4.4
= $50000= $50000
Thanks

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cvp analysis by Iqbal jabed

  • 2. CostVolume Profit AnalysisCostVolume Profit Analysis IntroductionIntroduction The Profit FunctionThe Profit Function Breakeven AnalysisBreakeven Analysis Differential Cost AnalysisDifferential Cost Analysis
  • 4. The Profit EquationThe Profit Equation Operating Profit Total Revenue Total Costs= – Operating profit equals total revenueOperating profit equals total revenue less total costs.less total costs. π = TR – TC
  • 5. The Profit EquationThe Profit Equation Total Revenue Average Selling Price Per Unit Units of Output = × TR = P × Q
  • 6. The Profit EquationThe Profit Equation Total Costs Variable Costs Per Unit Units of Output = × TC = (V × Q) + F Fixed Costs +
  • 7. The Profit EquationThe Profit Equation Now, we’ll expand ourNow, we’ll expand our original equation for profits!original equation for profits! (P × Q) - [(V × Q) + F]=π
  • 8. The Profit EquationThe Profit Equation Now, we’ll expand ourNow, we’ll expand our original equation for profits!original equation for profits! (P × X) - [(V × X) + F]= (P – V)Q – F= π π
  • 9. ExampleExample Here is the information from the Mr. X Bikes: Total Per Unit Percent Sales (500 bikes) 250,000$ 500$ 100% Less: variable expenses 150,000 300 60% Contribution margin 100,000$ 200$ 40% Less: fixed expenses 80,000 Net income 20,000$
  • 10. Finding TargetVolumesFinding TargetVolumes The formula to find a volume expressed in units for a target profit is . . . Target Volume (units) = Fixed costs + Target profit Contribution margin per unit How many bikes must Mr X sell to earn an annual profit of $100,000?
  • 11. TargetVolume in Sales DollarsTargetVolume in Sales Dollars The equation for finding the target volume in sales dollars is . . . Fixed costs + Target profit Contribution margin ratioContribution margin ratio Target Volume (sales $) =
  • 12. Finding the Break-Even PointFinding the Break-Even Point The Break-Even PointBreak-Even Point is the volume level where profits equal zero. To find the break-even point in unitsunits, we use the target volume in unitstarget volume in units equation and set the profit to zero. To find the break-even point in sales dollarssales dollars, we use the target volume in sales dollarstarget volume in sales dollars equation and set the profit to zero.
  • 13. Break-Even in Units and dollarsBreak-Even in Units and dollars Let’s use the Mr X Bikes information again. Total Per Unit Percent Sales (500 bikes) 250,000$ 500$ 100% Less: variable expenses 150,000 300 60% Contribution margin 100,000$ 200$ 40% Less: fixed expenses 80,000 Net income 20,000$ Contribution margin ratio Contribution margin per unit
  • 14. Break-Even in UnitsBreak-Even in Units Break-Even Volume (units) = Fixed costs Contribution margin per unit = $80,000 200 = 400 units
  • 15. Break-Even in Sales DollarsBreak-Even in Sales Dollars = $200000 $80,000 .40 Fixed costs Contribution margin ratio Break-Even Volume (sales $) = =
  • 16. Graphic PresentationGraphic Presentation Consider the following information for X Bikes: Income 300 units Income 400 units Income 500 units Sales 150,000$ 200,000$ 250,000$ Less: variable expenses 90,000 120,000 150,000 Contribution margin 60,000$ 80,000$ 100,000$ Less: fixed expenses 80,000 80,000 80,000 Net income (loss) (20,000)$ -$ 20,000$
  • 17. - 50,000 100,000 150,000 200,000 250,000 300,000 350,000 400,000 450,000 - 100 200 300 400 500 600 700 800 Graphic PresentationGraphic Presentation Volume per period (X) Dollars
  • 18. - 50,000 100,000 150,000 200,000 250,000 300,000 350,000 400,000 450,000 - 100 200 300 400 500 600 700 800 Graphic PresentationGraphic Presentation Break-even point Dollars Volume per period (X)
  • 19. Using CVP to Analyze DifferentUsing CVP to Analyze Different Cost StructuresCost Structures  Operating leverageOperating leverage  Margin of safetyMargin of safety
  • 20. Operating leverageOperating leverage Is a measure of how sensitive net operating income is to percentage change in sales. Degree of Operating leverageOperating leverage == Contribution margin Net operating income $100000 $20000 == = 5= 5
  • 21. Margin of SafetyMargin of Safety Excess of projected (or actual) sales over the break- even volume. The amount by which sales can fall before the company is in the loss area of the break-even graph. Sales Volume - Break even sales volumeSales Volume - Break even sales volumeMargin of Safety =Margin of Safety = == $250000 -250000 -Fixed costsFixed costs CM ratioCM ratio = $250000 -= $250000 -$80000$80000 .4.4 = $50000= $50000