Transcript The Short-run Condition For Profit Maximization

Chapter 11
Perfect Competition
Main Assumption
Economists assume that the goal of firms is to
maximize economic profit.
Max P*Q – TC =Π= TR – TC : Issue – measuring Costs
Q
11-1
Chapter Outline




•








The Goal Of Profit Maximization
The Four Conditions For Perfect Competition
The Short-run Condition For Profit Maximization
The Short-run Competitive Industry Supply
Short-run Competitive Equilibrium
Producer Surplus
Adjustments In The Long Run
The Invisible Hand
Application: The Cost Of Extraordinary Inputs
The Efficiency Of Short-run Competitive Equilibrium
The Long-run Competitive Industry Supply Curve
The Elasticity Of Supply
Applying The Competitive Model
11-2
Profits
Firms exist to maximize economic profits and not
accounting profits
 Economic profit (πecon)--the difference between total
revenue and total cost, where total cost includes all costs—
both explicit and implicit—associated with resources used
by the firm, i.e. πecon = TR – (Explicit + Implicit) Costs
 Accounting profit (πAccount )--is simply total revenue less all
explicit costs incurred, i.e. πAccount = TR – (Explicit) Costs
– does not subtract the implicit costs.
The Short-run Condition For Profit Maximization
 To maximize profit the firm will choose that level of output
(Q) for which the difference between total revenue and
total cost is largest.
11-3
The Four Conditions For Perfect
Competition
1.
2.
3.
4.
Firms Sell a Standardized Product
The product sold by one firm is assumed to be a perfect
substitute for the product sold by any other.
Firms Are Price Takers
This means that the individual firm treats the market price
of the product as given.
Free Entry and Exit
With Perfectly Mobile Factors of Production in the Long
Run (defined as when P=AC or economic profit =0 )
Firms and Consumers Have Perfect Information
The Short-run Condition For Profit Maximization
 Marginal revenue: the change in total revenue that occurs as a
result of a 1-unit change in sales.
 To maximize profits the firm should produce a level of output for
which marginal revenue is equal to marginal cost on the rising
portion of the MC curve. (MC=MR).
11-4
Figure 11.2: Revenue, Cost, and Economic Profit
B
A
Price
=$18
Π =TR - TC
IRTS
CRTS
DRTS
11-5
Figure 11.3: The Profit-Maximizing
Output Level in the Short-Run
C
A
The firm should produce where MR = MC (the rising portion
of it – Point A
In PC, P = MR and the firm sets MR = MC. Thus, P = MC at
equilibrium. At P=$18, P =MR =MC, therefore produce where
P=MC
11-6
Figure 11.4: The Short-Run Supply Curve of a
Perfectly Competitive Firm
=S
The Shutdown Condition
Shutdown condition: if price falls below the minimum of
average variable cost, the firm should shut down in the short
run, i.e. P < AVC
The short-run supply curve of the perfectly competitive firm is
the rising portion of the short-run marginal cost curve that lies
above the minimum value of the average variable cost curve
11-7
Figure 11.5: The Short-Run Competitive
Industry Supply Curve
At P=$3, S = 7 = 3+4
11-8
Figure 11.6: Short-Run Price and Output
Determination under Pure Competition
Profit = P*Q – ATC*Q
=20*80 -12*80 =$640
Or Π= (P –ATC*Q = ($20 - $12)*80 =$640
The firm responds to the market price by producing Q =80 at
that price., i.e. the firm is a price taker (P* =$20)
The optimal output is where MR = MC or P = MC at Q=80
11-9
Figure 11.7: A Short-Run Equilibrium Price
that Results in Economic Losses
A
Short-run Competitive Equilibrium
Even though the market demand curve is downward sloping,
the demand curve facing the individual firm is perfectly elastic
(εP= ∞)
Breakeven point: the point at which price equal to the
minimum of average total cost, i.e. P = min ATC
--The lowest price at which the firm will not suffer negative
profits in the short run.
11-10
Figure 11.8: Short-run Competitive
Equilibrium is Efficient
=S
The Efficiency Of Short-run Competitive Equilibrium
Allocative efficiency: a condition in which all possible gains
from exchange are realized.
11-11
Figure 11.9: Two Equivalent Measures
of Producer Surplus
PS = P*Q* - AVC*Q = TR - VC
PS = P*Q* - Area under MC
Producer Surplus
Producer surplus: the dollar amount by which a firm benefits
by producing a profit-maximizing level of output.
A competitive market is efficient when it maximizes the net
benefits to its participants.
Profit = TR – TC and TC =VC+FC so PS = TR –VC = TR -(TC –
FC) = TR –TC +FC
11-12
Figure 11.10: Aggregate Producer
Surplus When Individual Marginal
Cost Curves are Upward Sloping
Throughout
Figure 11.11: The Total Benefit from
Exchange in a Market
11-13
Figure 11.12: Producer and Consumer Surplus in a Market
Consisting of Careful Fireworks Users
CS= ½ base x height =1/2(50 – 30) x 20,000
=$200,000.00
PS= ½ base x height =1/2(30 – 10) x 20,000 =$200,000.00
Total or Aggregate Surplus = CS + PS = $400,000.00
11-14
Figure 11.13: A Price Level that
Generates Economic Profit
Positive Economic profits
invite ENTRY by new firms.
Firm is a price taker, P =10; ATC = 7;
Total Profit (π) = (P-ATC)*Q = (10-7)*200= 3 x 200 =600.
11-15
Figure 11.14: A Step along the Path Toward LongRun Equilibrium
Entry is not complete as profits
are still positive
A
At P=$5, TR = 5 x 180=900; TC = ATC x Q = $5 x 180=900; π=0
Adjustments In The Long Run
Positive economic profit creates an incentive for outsiders to enter the
industry.
As additional firms enter the industry, the industry supply curve to the right.
This adjustment will continue until these two conditions are met:
(1) Price reaches the minimum point on the LAC curve
(2) All firms have moved to the capital stock size that gives rise to a shortrun average total cost curve that is tangent to the LAC curve at its
minimum point. (=ATC3 is tangent to minimum LAC at Point A)
11-16
Figure 11.15: The Long-Run Equilibrium under
Perfect Competition
As prices adjustment downwards towards P*, firms enter until
P* where
1. P= minimum ATC - Zero Economic Profit
2. P= minimum LAC  Zero Economic Profit
3. P = SMC = LMC
4. Minimum ATC = Minimum LAC --- Least Cost
5. Q* is the optimal output both in the SR and LR
These are the fundamental benchmark results from PC
11-17
The Invisible Hand
 Why are competitive markets attractive from the
perspective of society as a whole?
 Price is equal to Marginal Cost (P=MC)
• The last unit of output consumed is worth exactly the
same to the buyer as the resources required to
produce it, i.e. no gouging of consumers by firms.
 Price is equal to the minimum point on the long-run
average cost curve, i.e. firms earn zero economic profits
in the LR.
There is no less costly way of producing the product.
 All producers earn only a normal rate of profit(π=0)
• The public pays not a penny more than what it cost
the firms to serve them.
11-18
Figure 11.16: The Long-Run Competitive Industry
Supply Curve
The Long-run Competitive Industry Supply Curve (SLR)
Constant cost Industries: long-run supply curve is a horizontal
line at the minimum value of the LAC curve.
11-19
Figure 11.17: Long-Run Supply Curve for an
Increasing Cost Industry
The Long-run Competitive Industry Supply Curve
Increasing cost industries: long-run supply curve is upward
sloping.
Decreasing cost industries: long-run supply curve is
downward-sloping.
11-20
Figure 11.19: The Elasticity of Supply
εS = (∆Q/∆P)* P/Q =
P/Q *(1/slope) = P/Q *(dQ/dP)
Price elasticity of supply: the percentage change in quantity
supplied that occurs in response to a 1 percent change in
product price.
11-21
Figure 11.20: Cost Curves for Family
and Corporate Farms: Application 1
Family Farm
Corporate Farms
Market forces would drive market prices to P* < ATCF for
family farms and P* = ATCC for corporate farms.
It appears as if subsidizing corporate farms also benefits family
farms!
11-22
Figure 11.21: The Short-Run Effect
of Agricultural Price Supports
As seen, agricultural support prices benefit corporate farms more than
family farms!
Bigger positive profits for corporate farms invites more entry by corporate
farming entities: bid up the price of agricultural land or the rent and drive out
more families from farming.
As the scale of farms increases, so does technological needs – often beyond
the capacity of family farms. With technological progress more family farms
will be lost to large scale agriculture.
11-23
Figure 11.22: The Effect of a Tax on the
Output of a Perfectly Competitive Industry
Politicians often target corporations for a tax increase. Without taxes, Q*1 is
produced. Assume a horizontal industry SLR curve so that P* is taken by the
typical firm as given. A tax of T imposed on firms increases both the SMC and
LAC by T so the level of output for the firm is unchanged at Q*1.
However, the S shifts to SLR + T which reduces the industry output from Q*1
to Q*2. That is, firms have completely shifted the incidence of T to consumers!
11-24