The Production Process: The Behavior of Profit

C H APTER
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6
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The Production Process:
The Behavior of
Profit-Maximizing Firms
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Appendix: Isoquants and Isocosts
Prepared by: Fernando Q uijano
and Yvonn Q uijano
© 2004 Prentice Hall Business Publishing
Principles of Economics, 7/e
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Karl Case, Ray Fair
C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Production
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Central to our analysis is
production, the process by
which inputs are combined,
transformed, and turned
into outputs.
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Karl Case, Ray Fair
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Firm and Household Decisions
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• Firms demand
factors of
production in
input markets
and supply goods
and services in
output markets.
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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What Is A Firm?
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• A firm is an organization that comes
into being when a person or a group
of people decides to produce a good
or service to meet a perceived
demand. Most firms exist to make a
profit.
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• Production is not limited to firms.
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• Many important differences exist
between firms.
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Karl Case, Ray Fair
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Perfect Competition
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Perfect competition is an industry
structure in which there are:
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• many firms, each small relative to the
industry,
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• producing virtually identical products and
• in which no firm is large enough to have
any control over prices.
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• In perfectly competitive industries, new
competitors can freely enter and exit the
market.
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Karl Case, Ray Fair
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Homogeneous Products
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• Homogeneous products are
undifferentiated products; products
that are identical to, or
indistinguishable from, one another.
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• In a perfectly competitive market,
individual firms are price-takers.
Firms have no control over price;
price is determined by the interaction
of market supply and demand.
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Karl Case, Ray Fair
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Demand Facing a Single Firm
in a Perfectly Competitive Market
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• The perfectly competitive firm faces a perfectly
elastic demand curve for its product.
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Karl Case, Ray Fair
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
The Behavior of
Profit-Maximizing Firms
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• The three decisions that all
firms must make include:
1.
How much
output to
supply
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2.
Which
production
technology
to use
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3.
How much
of each
input to
demand
Karl Case, Ray Fair
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Profits and Economic Costs
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•
Profit (economic profit) is the
difference between total revenue
and total economic cost.
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economic profit = total revenue − total economic cost
•
Total revenue is the amount
received from the sale of the
product:
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(q x P )
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Karl Case, Ray Fair
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Profits and Economic Costs
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•
Total cost (total economic cost)
is the total of
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1. Out of pocket costs,
2. Normal rate of return on capital, and
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3. Opportunity cost of each factor of
production.
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Profits and Economic Costs
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• The rate of return, often referred to
as the yield of the investment, is the
annual flow of net income generated
by an investment expressed as a
percentage of the total investment.
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Profits and Economic Costs
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• The normal rate of return is a rate
of return on capital that is just
sufficient to keep owners and
investors satisfied.
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• For relatively risk-free firms, the normal
rate of return be nearly the same as the
interest rate on risk-free government
bonds.
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Profits and Economic Costs
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• Out-of-pocket costs are sometimes
referred to as explicit costs or
accounting costs.
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• Economic costs, often referred to
as implicit cots, include the full
opportunity cost of every input.
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Calculating Total
Revenue, Total Cost, and Profit
Initial Investment:
Market Interest Rate Available:
Total Revenue (3,000 belts x $10 each)
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$20,000
.10 or 10%
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$30,000
Costs
Belts from supplier
$15,000
Labor Cost
2,000
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$31,000
Profit = total revenue − total cost
aThere
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14,000
Normal return/opportunity cost of capital ($20,000 x .10)
Total Cost
− $ 1,000a
is a loss of $1,000.
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Short-Run Versus Long-Run Decisions
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• The short run is a period of
time for which two conditions
hold:
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1. The firm is operating under a
fixed scale (or fixed factor) of
production, and
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2. Firms can neither enter nor exit
the industry.
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
Short-Run Versus Long-Run Decisions
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• The long run is a period of
time for which there are no
fixed factors of production.
Firms can increase or
decrease scale of operation,
and new firms can enter
and existing firms can exit
the industry.
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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The Bases of Decisions
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• The fundamental things to know with
the objective of maximizing profit are:
1.
2.
3.
The market
price of
the output
The techniques
of production
that are
available
The prices
of inputs
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Determining the
Optimal Method of Production
Price of output
Determines
total revenue
Production techniques
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Input prices
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Determine total cost and
optimal method of production
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Total revenue
− Total cost with optimal method
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=Total profit
• The optimal method of production
is the method that minimizes cost.
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Karl Case, Ray Fair
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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The Production Process
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• Production technology refers to
the quantitative relationship between
inputs and outputs.
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• A labor-intensive technology relies
heavily on human labor instead of
capital.
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• A capital-intensive technology
relies heavily on capital instead of
human labor.
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Karl Case, Ray Fair
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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The Production Function
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• The production
function or total
product function is
a numerical or
mathematical
expression of a
relationship between
inputs and outputs.
It shows units of total
product as a function
of units of inputs.
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Karl Case, Ray Fair
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C H A P T E R 6: The Production Process:
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Marginal Product
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• Marginal product is
the additional output
that can be produced
by adding one more
unit of a specific
input, ceteris paribus.
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marginal product of labor =
© 2004 Prentice Hall Business Publishing
change in total product
change in units of labor used
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
The Law of
Diminishing Marginal Returns
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• The law of diminishing
marginal returns states
that:
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When additional units of a
variable input are added to
fixed inputs, the marginal
product of the variable
input declines.
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
Average Product
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• Average product is
the average amount
produced by each unit
of a variable factor of
production.
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total product
average product of labor =
total units of labor
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Production Function for Sandwiches
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Production Function
(2)
TOTAL PRODUCT
(SANDWICHES
PER HOUR)
40
(3)
MARGINAL
PRODUCT OF
LABOR
(4)
AVERAGE
PRODUCT
OF LABOR
0
0
−
−
1
10
10
10.0
2
25
15
12.5
3
35
10
11.7
4
40
5
10.0
5
42
2
8.4
6
42
0
7.0
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35
Total product
(1)
LABOR UNITS
(EMPLOYEES)
45
30
25
20
15
10
5
0
0
1
2
3
4
5
6
7
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10
5
0
0
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Number of employees
15
Marginal Product
C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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1
2
3
4
5
Number of employees
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7
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Total, Average, and Marginal Product
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• Marginal product is the slope
of the total product function.
• At point A, the slope of the
total product function is
highest; thus, marginal
product is highest.
• At point C, total product is
maximum, the slope of the
total product function is zero,
and marginal product
intersects the horizontal axis.
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Principles of Economics, 7/e
Karl Case, Ray Fair
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Total, Average, and Marginal Product
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• When average product is
maximum, average product
and marginal product are
equal.
• Then, average product
falls to the left and right of
point B.
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Total, Average, and Marginal Product
© 2004 Prentice Hall Business Publishing
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Remember that:
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• As long as marginal
product rises, average
product rises.
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• When average product is
maximum, marginal
product equals average
product.
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• When average product
falls, marginal product is
less than average product.
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Production Functions with Two
Variable Factors of Production
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• In many production processes, inputs work
together and are viewed as complementary.
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• For example, increases in capital usage lead to
increases in the productivity of labor.
TECHNOLOGY
UNITS OF
CAPITAL (K)
A
B
C
D
E
UNITS OF
LABOR (L)
2
3
4
6
10
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• Given the
technologies
available, the
cost-minimizing
choice depends
on input prices.
Inputs Required to Produce 100 Diapers
Using Alternative Technologies
10
6
4
3
2
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C H A P T E R 6: The Production Process:
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Production Functions with Two
Variable Factors of Production
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Cost-Minimizing Choice Among Alternative
Technologies (100 Diapers)
(1)
TECHNOLOGY
(2)
UNITS OF
CAPITAL (K)
(3)
UNITS OF
LABOR (L)
(4)
COST WHEN
PL = $1 PK = $1
A
2
10
$12
$52
B
3
6
9
33
C
4
4
8
24
D
6
3
9
21
E
10
2
12
20
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(5)
COST WHEN
PL = $5 PK = $1
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Review Terms and Concepts
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Accounting costs
Marginal product
Average product
Normal rate of return
CapitalCapital-intensive technology
Optimal method of production
Economic costs
OutOut-ofof-pocket costs
Economic profit
Perfect competition
Explicit costs
production
Firm
Production function or total product function
Homogeneous products
Production technology
Implicit costs
Profit (economic profit)
LaborLabor-intensive technology
Short run
Law of diminishing returns
Total cost (total economic cost)
Long run
Total revenue
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Principles of Economics, 7/e
Karl Case, Ray Fair
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Appendix: Isoquants and Isocosts
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• An isoquant is a graph
that shows all the
combinations of capital
and labor that can be
used to produce a given
amount of output.
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Appendix: Isoquants and Isocosts
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Alternative Combinations of Capital
(K) and Labor (L) Required to Produce
50, 100, and 150 Units of Output
qx = 100
qx= 150
K
L
K
L
K
A
1
qx = 50
8
2
10
3
10
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L
B
2
5
3
6
4
7
C
3
3
4
4
5
5
D
5
2
6
3
7
4
E
8
1
10
2
10
3
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Karl Case, Ray Fair
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Appendix: Isoquants and Isocosts
© 2004 Prentice Hall Business Publishing
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• Along an isoquant:
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∆K ⋅ MPK = − ∆L ⋅ MPL
• The slope of an
isoquant is called the
marginal rate of
technical substitution.
MPL
∆K
=−
MPK
∆L
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Appendix: Isoquants and Isocosts
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• An isocost line is a
graph that shows all the
combinations of capital
and labor that are
available for a given
total cost.
PK ⋅ K + PL ⋅ L
Principles of Economics, 7/e
Karl Case, Ray Fair
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• The equation of the
isocost line is:
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Appendix: Isoquants and Isocosts
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• Slope of the isocost
line:
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TC / PK
P
∆K
=−
=− L
TC / PL
PK
∆L
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Principles of Economics, 7/e
Karl Case, Ray Fair
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Appendix: Isoquants and Isocosts
© 2004 Prentice Hall Business Publishing
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• By setting the slopes of the
isoquant and isocost curves
equal to each other,
MPL PL
=
MPK PK
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we derive the firm’s costminimizing equilibrium
condition is found
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MPL MPK
=
PLKarl Case, Ray
PKFair
Karl Case, Ray Fair
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C H A P T E R 6: The Production Process:
The BehaviorofProfit-M axim izing Firm s
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Appendix: Isoquants and Isocosts
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• Plotting a series of cost-minimizing combinations of
inputs (at points A, B, and C), yields a cost curve.
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Karl Case, Ray Fair
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