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Variable Cost and Contribution Margin Ratio

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Variable Cost and Contribution Margin Ratio
C V P Analysis

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CVP Analysis
Understand how cost behavior and cost-volume-profit analysis are used by managers.

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Questions Addressed by CVP
Analysis
 How much must I sell to earn my desired income?
 How will income be affected if I reduce selling prices to increase sales volume?  What will happen to profitability if I expand capacity?

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Cost-Profit-Volume Analysis
 What is cost-volume-profit analysis?
It is the study of the effects of output volume on revenue (sales), expenses
(costs), and net income (net profit).

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Variable Costs

Fixed Costs

Mixed Costs

Cost Estimation Methods
Cost Estimation Methods are frequently required to separate the fixed and variable components of a total cost pool. Methods include: 1.
2.
3.
4.
5.

Account Analysis
Scattergraph
High-Low Method
Regression
Relevant Range

Scattergraph

High-Low Method
Example: Let total costs at 500 units of output be $150,000 and at 3,000 units of output be $400,000. Calculate variable and fixed costs, respectively.

High-Low Method
Solution: High
Low
Change
Costs:
$400,000 $150,000 $250,000
Units:
3,000
500
2,500
Calculate Variable Cost Per Unit:
$250,000/2,500 = $100
Calculate Total Fixed Costs:
$400,000 – (3,000 x 100) = $100,000

High-Low Method

Regression Analysis

Relevant Range

How Is Cost Behavior
Used By Managers ?
Understanding cost behavior is vital to the manager’s decision-making role, because one of the main goals of management accounting is controlling costs.

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Cost-Volume-Profit Analysis
1.
2.
3.
4.
5.
6.

The Profit Equation
Breakeven Point
Margin of Safety
Contribution Margin
Contribution Margin Ratio
What-if Analysis

The Profit Equation
Profit = SP(x) –VC(x) – TFC
X = Quantity of units produced and sold
SP = Selling price per unit
VC = Variable cost per unit
TFC = Total fixed cost

Break-Even Point
 The break-even point is the level of sales at which revenue equals expenses and net income is zero.

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Break-Even Point

Break-Even Point

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