Lecture 3
• Cost-Volume-Profit Analysis
Cost Terminology
Incremental
Fixed Cost Variable Cost Marginal Cost
Cost
Standard
Direct Cost Indirect Cost Cash Cost
Cost
Opportunity Life-Cycle
Book Cost Sunk Cost
Cost Cost
Recurring Nonrecurring
Costs Costs
The General Economic
Environment
Consumer Producer
Goods and Goods and Utility
Services Services
Perfect
Necessities Luxuries
Competition
Monopoly
General Price-Demand
Relationship
constants
• b is the amount by which demand increases for each unit decrease in p
The Total Revenue Function
• TR – total revenue
• p – price
• D – number of units sold
By applying:
From calculus, the demand that will produce the maximum total revenue
can be obtained by solving:
Total Revenue Function as a Function of
Demand
Costs
• Fixed costs remain constant over a wide range of activities
• Variable costs vary in total with the volume of output
where:
Demand is a function of price
Total Revenue
CT
Maximum Profit
Loss
Profit
Cost and Revenue
CV
CF
D’1 D* D’2
D
Volume (Demand)
In order for a profit to occur, two conditions must be met:
• Optimal value of D that maximizes profit is:
Demand is a function of price
Total Revenue
CT
Maximum Profit
Loss
Profit
Cost and Revenue
CV
CF
D’1 D* D’2
D
Volume (Demand)
Breakeven Point
Two scenarios for finding breakeven
points:
Demand is a function of price
Price and demand are independent of each
other
For an economic breakeven point to occur:
Since this is a quadratic equation, we can
solve for breakeven points D1’ and D2’ (the roots of the equation):
Example 1 - Demand is a function of price
Example 1 - Demand is a function of price
Example 1 - Demand is a function of price
Example 1 - Demand is a function of price
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Spreadsheet Solution
0.02
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prepared by: mktb/nrrj
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Price and demand are independent
of each other
When the price per unit for a product or
service can be represented more simply as
TR being independent of demand and is
greater than the variable cost per unit, a
single breakeven point results. Then, under
Cost and Revenue ($)
the assumption that demand is immediately
Profit met, total revenue (TR) = p · D.
CT
Breakeven Point
Loss
prepared by: mktb/nrrj
CF
D
D’
Volume (Demand)
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Example 2 – Price and demand are
independent of each other
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prepared by: mktb/nrrj
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Lecture 3
• Cost-Volume-Profit Analysis