Poverty Chapter 15 Lecture PowerPoint © W. W. Norton & Company, 2008.
© 2010 W. W. Norton & Company, Inc. 22 Firm Supply.
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Transcript of © 2010 W. W. Norton & Company, Inc. 22 Firm Supply.
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© 2010 W. W. Norton & Company, Inc.
22 Firm Supply
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© 2010 W. W. Norton & Company, Inc. 2
Firm Supply
How does a firm decide how much product to supply? This depends upon the firm’s
– technology
– market environment
– goals
– competitors’ behaviors
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© 2010 W. W. Norton & Company, Inc. 3
Market Environments
Are there many other firms, or just a few?
Do other firms’ decisions affect our firm’s payoffs?
Is trading anonymous, in a market? Or are trades arranged with separate buyers by middlemen?
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Market Environments
Monopoly: Just one seller that determines the quantity supplied and the market-clearing price.
Oligopoly: A few firms, the decisions of each influencing the payoffs of the others.
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© 2010 W. W. Norton & Company, Inc. 5
Market Environments
Dominant Firm: Many firms, but one much larger than the rest. The large firm’s decisions affect the payoffs of each small firm. Decisions by any one small firm do not noticeably affect the payoffs of any other firm.
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© 2010 W. W. Norton & Company, Inc. 6
Market Environments
Monopolistic Competition: Many firms each making a slightly different product. Each firm’s output level is small relative to the total.
Pure Competition: Many firms, all making the same product. Each firm’s output level is small relative to the total.
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© 2010 W. W. Norton & Company, Inc. 7
Market Environments
Later chapters examine monopoly, oligopoly, and the dominant firm.
This chapter explores only pure competition.
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Pure Competition
A firm in a perfectly competitive market knows it has no influence over the market price for its product. The firm is a market price-taker.
The firm is free to vary its own price.
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© 2010 W. W. Norton & Company, Inc. 9
Pure Competition
If the firm sets its own price above the market price then the quantity demanded from the firm is zero.
If the firm sets its own price below the market price then the quantity demanded from the firm is the entire market quantity-demanded.
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Pure Competition
So what is the demand curve faced by the individual firm?
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Pure Competition
Y
$/output unit
Market Supply
Market Demand
pe
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Pure Competition
y
$/output unit
Market Supply
pe
p’At a price of p’, zero is demanded from the firm.
Market Demand
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Pure Competition
y
$/output unit
Market Supply
pe
p’
p”
At a price of p” the firm faces the entire market demand.
At a price of p’, zero is demanded from the firm.
Market Demand
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Pure Competition
So the demand curve faced by the individual firm is ...
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Pure Competition
y
$/output unit
Market Supply
pe
p’
p”
At a price of p” the firm faces the entire market demand.
At a price of p’, zero is demanded from the firm.
Market Demand
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Pure Competition
Y
$/output unit
pe
p’
p”Market Demand
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Smallness
What does it mean to say that an individual firm is “small relative to the industry”?
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Smallness$/output unit
y
Firm’s MC
The individual firm’s technology causes italways to supply only a small part of the total quantity demanded at the market price.
Firm’s demand curve
pe
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The Firm’s Short-Run Supply Decision
Each firm is a profit-maximizer and in a short-run.
Q: How does each firm choose its output level?
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The Firm’s Short-Run Supply Decision
Each firm is a profit-maximizer and in a short-run.
Q: How does each firm choose its output level?
A: By solvingmax ( ) ( ).y
s sy py c y
0
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The Firm’s Short-Run Supply Decision
€
maxy≥0
Π s(y) = py − cs(y).
What can the solution ys* look like?
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© 2010 W. W. Norton & Company, Inc. 22
The Firm’s Short-Run Supply Decision
€
maxy≥0
Π s(y) = py − cs(y).
What can the solution ys* look like?(a) ys* > 0:
(y)
yys*
( )( )
( )
( )( )
.*
id y
dyp MC y
iid y
dyat y y
ss
ss
0
02
2
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© 2010 W. W. Norton & Company, Inc. 23
The Firm’s Short-Run Supply Decision
€
maxy≥0
Π s(y) = py − cs(y).
What can the solution y* look like?(b) ys* = 0:
(y)
yys* = 0
d ydy
p MC y
at y y
ss
s
( )( )
.*
0
0
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The Firm’s Short-Run Supply Decision
For the interior case of ys* > 0, the first-order maximum profit condition is
d ydy
p MC yss
( )( ) . 0
That is, p MC ys s ( ).*
So at a profit maximum with ys* > 0, themarket price p equals the marginalcost of production at y = ys*.
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The Firm’s Short-Run Supply Decision
For the interior case of ys* > 0, the second-order maximum profit condition is
d y
dy
ddy
p MC ydMC y
dys
ss
2
20
( )( )
( ).
That is,dMC y
dys s( )
.*
0
So at a profit maximum with ys* > 0, thefirm’s MC curve must be upward-sloping.
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The Firm’s Short-Run Supply Decision
$/output unit
y
pe
ys*y’
MCs(y)
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The Firm’s Short-Run Supply Decision
$/output unit
y
pe
ys*y’
At y = ys*, p = MC and MCslopes upwards. y = ys* is profit-maximizing.
MCs(y)
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© 2010 W. W. Norton & Company, Inc. 28
The Firm’s Short-Run Supply Decision
$/output unit
y
pe
ys*y’
At y = ys*, p = MC and MCslopes upwards. y = ys* is profit-maximizing.
At y = y’, p = MC and MC slopes downwards.y = y’ is profit-minimizing.
MCs(y)
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© 2010 W. W. Norton & Company, Inc. 29
The Firm’s Short-Run Supply Decision
$/output unit
y
pe
y’
At y = ys*, p = MC and MCslopes upwards. y = ys* is profit-maximizing. So a profit-max. supply level can lie only on the upwards sloping part of the firm’s MC curve.
MCs(y)
ys*
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The Firm’s Short-Run Supply Decision
But not every point on the upward-sloping part of the firm’s MC curve represents a profit-maximum.
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The Firm’s Short-Run Supply Decision
But not every point on the upward-sloping part of the firm’s MC curve represents a profit-maximum.
The firm’s profit function is
If the firm chooses y = 0 then its profit is
s s vy py c y py F c y( ) ( ) ( ).
s vy F c F( ) ( ) . 0 0
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The Firm’s Short-Run Supply Decision
So the firm will choose an output level y > 0 only ifs vy py F c y F( ) ( ) .
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© 2010 W. W. Norton & Company, Inc. 33
The Firm’s Short-Run Supply Decision
So the firm will choose an output level y > 0 only if
I.e., only if
Equivalently, only if
s vy py F c y F( ) ( ) .
py c yv ( ) 0
pc y
yAVC yv
s ( )
( ).
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The Firm’s Short-Run Supply Decision
AVCs(y)
ACs(y)MCs(y)
$/output unit
y
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The Firm’s Short-Run Supply Decision
AVCs(y)
ACs(y)MCs(y)
$/output unit
y
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The Firm’s Short-Run Supply Decision
AVCs(y)
ACs(y)MCs(y)
$/output unit
y
p AVCs(y)
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The Firm’s Short-Run Supply Decision
AVCs(y)
ACs(y)MCs(y)
p AVCs(y) ys* > 0. $/output unit
y
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© 2010 W. W. Norton & Company, Inc. 38
The Firm’s Short-Run Supply Decision
AVCs(y)
ACs(y)MCs(y)
p AVCs(y) ys* = 0.
$/output unit
y
p AVCs(y) ys* > 0.
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© 2010 W. W. Norton & Company, Inc. 39
The Firm’s Short-Run Supply Decision
AVCs(y)
ACs(y)MCs(y)
p AVCs(y) ys* = 0.
The firm’s short-runsupply curve
$/output unit
y
p AVCs(y) ys* > 0.
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© 2010 W. W. Norton & Company, Inc. 40
The Firm’s Short-Run Supply Decision
AVCs(y)
ACs(y)MCs(y)
The firm’s short-runsupply curve
Shutdown point
$/output unit
y
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The Firm’s Short-Run Supply Decision
Shut-down is not the same as exit. Shutting-down means producing no
output (but the firm is still in the industry and suffers its fixed cost).
Exiting means leaving the industry, which the firm can do only in the long-run.
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The Firm’s Long-Run Supply Decision
The long-run is the circumstance in which the firm can choose amongst all of its short-run circumstances.
How does the firm’s long-run supply decision compare to its short-run supply decisions?
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The Firm’s Long-Run Supply Decision
A competitive firm’s long-run profit function is
The long-run cost c(y) of producing y units of output consists only of variable costs since all inputs are variable in the long-run.
( ) ( ).y py c y
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The Firm’s Long-Run Supply Decision
The firm’s long-run supply level decision is to
The 1st and 2nd-order maximization conditions are, for y* > 0,
max ( ) ( ).y
y py c y
0
p MC y anddMC y
dy
( )( )
.0
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The Firm’s Long-Run Supply Decision
Additionally, the firm’s economic profit level must not be negative since then the firm would exit the industry. So,
( ) ( )( )
( ).
y py c y
pc y
yAC y
0
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The Firm’s Long-Run Supply Decision
MC(y)
AC(y)
y
$/output unit
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The Firm’s Long-Run Supply Decision
MC(y)
AC(y)
y
$/output unit
p > AC(y)
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The Firm’s Long-Run Supply Decision
MC(y)
AC(y)
y
$/output unit
p > AC(y)
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The Firm’s Long-Run Supply Decision
MC(y)
AC(y)
y
$/output unit
The firm’s long-runsupply curve
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The Firm’s Long-Run Supply Decision
How is the firm’s long-run supply curve related to all of its short-run supply curves?
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The Firm’s Long & Short-Run Supply Decisions
MC(y)
AC(y)
y
$/output unitACs(y)
MCs(y)
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The Firm’s Long & Short-Run Supply Decisions
MC(y)
AC(y)
y
$/output unitACs(y)
MCs(y)
p’
ys* y*
ys* is profit-maximizing in this short-run.
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The Firm’s Long & Short-Run Supply Decisions
MC(y)
AC(y)
y
$/output unitACs(y)
MCs(y)
p’
ys* y*
ys* is profit-maximizing in this short-run.
s
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The Firm’s Long & Short-Run Supply Decisions
MC(y)
AC(y)
y
$/output unitACs(y)
MCs(y)
p’
ys* y*The firm can increase profit by increasingx2 and producing y* output units.
s
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The Firm’s Long & Short-Run Supply Decisions
MC(y)
AC(y)
y
$/output unitACs(y)
MCs(y)
p”
ys*
ys* is loss-minimizing in this short-run.
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The Firm’s Long & Short-Run Supply Decisions
MC(y)
AC(y)
y
$/output unitACs(y)
MCs(y)
p”
ys*
ys* is loss-minimizing in this short-run.
Loss
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The Firm’s Long & Short-Run Supply Decisions
MC(y)
AC(y)
y
$/output unitACs(y)
MCs(y)
p”
ys*This loss can be eliminated in the long run by the firm exiting the industry.
Loss
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The Firm’s Long & Short-Run Supply Decisions
MC(y)
AC(y)
y
$/output unit
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The Firm’s Long & Short-Run Supply Decisions
MC(y)
AC(y)
y
$/output unit
p’
ys*
ys* is profit-maximizing in this short-run.
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The Firm’s Long & Short-Run Supply Decisions
MC(y)
AC(y)
y
$/output unit
p’
ys*
ys* is profit-maximizing in this short-run.
s
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The Firm’s Long & Short-Run Supply Decisions
MC(y)
AC(y)
y
$/output unit
p’
ys*
ys* is profit-maximizing in this short-run.y* is profit-maximizing in the long-run.
y*
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The Firm’s Long & Short-Run Supply Decisions
MC(y)
AC(y)
y
$/output unit
p’
ys*
ys* is profit-maximizing in this short-run.y* is profit-maximizing in the long-run.
y*
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The Firm’s Long & Short-Run Supply Decisions
MC(y)
AC(y)
y
$/output unit
p’
ys*y*
s
The firm can increase profit by reducingx2 and producing y* units of output.
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The Firm’s Long & Short-Run Supply Decisions
MC(y)
AC(y)
y
$/output unit
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The Firm’s Long & Short-Run Supply Decisions
MC(y)
AC(y)
y
$/output unit
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The Firm’s Long & Short-Run Supply Decisions
MC(y)
AC(y)
y
$/output unit
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The Firm’s Long & Short-Run Supply Decisions
MC(y)
AC(y)
y
$/output unit
Short-run supply curves
Long-run supply curve
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Producer’s Surplus Revisited
The firm’s producer’s surplus is the accumulation, unit by extra unit of output, of extra revenue less extra production cost.
How is producer’s surplus related profit?
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Producer’s Surplus Revisited
y
$/output unit
AVCs(y)
ACs(y)
MCs(y)
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Producer’s Surplus Revisited
y
$/output unit
AVCs(y)
ACs(y)
MCs(y)
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Producer’s Surplus Revisited
y
$/output unit
AVCs(y)
ACs(y)
MCs(y)
p
y*(p)
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Producer’s Surplus Revisited
y
$/output unit
AVCs(y)
ACs(y)
MCs(y)
p
PS
y*(p)
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Producer’s Surplus RevisitedSo the firm’s producer’s surplus is
PS p p MC z d z
py p MC z d z
py p c y p
s
y p
s
y p
v
( ) ( ) ( )
* ( ) ( ) ( )
* ( ) * ( ) .
*( )
*( )
0
0
That is, PS = Revenue - Variable Cost.
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Producer’s Surplus Revisited
y
$/output unit
AVCs(y)ACs(y)
MCs(y)p
PS
y*(p)
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Producer’s Surplus Revisited
y
$/output unit
AVCs(y)
ACs(y)
MCs(y)
p
y*(p)
€
cv (y * (p)) = MCs(z)d(z)0
y*( p )
∫
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Producer’s Surplus Revisited
y
$/output unit
AVCs(y)
ACs(y)
MCs(y)
p
y*(p)
Revenue= py*(p)
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Producer’s Surplus Revisited
y
$/output unit
AVCs(y)
ACs(y)
MCs(y)
p
y*(p)
Revenue= py*(p)
cv(y*(p))
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Producer’s Surplus Revisited
y
$/output unit
AVCs(y)
ACs(y)
MCs(y)
p
PS
y*(p)
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Producer’s Surplus Revisited
PS = Revenue - Variable Cost. Profit = Revenue - Total Cost
= Revenue - Fixed Cost - Variable Cost.
So, PS = Profit + Fixed Cost. Only if fixed cost is zero (the long-
run) are PS and profit the same.