The True Importance of the P=MC Condition of Profit Maximization
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The True Importanceof the
P=MC Condition of Profit Maximization
A
How to Minimize the Total Costs of Corn Production Across Two Farms
Increase in Costs
SavingsC = A-B Decrease
in Costs
$200th unit
Cost of Producing 200th Unit
MC1
Quantity(Bushels of Corn)
0 25
$
Farm One
MC2
Quantity(Bushels of Corn)
200175
$
Farm Two
C
B
MC1
0 40 Quantity(Bushels of Corn)
$
MC2
160 Quantity(Bushels of Corn)
$
Farm One Farm Two
To Minimize Total Costs Set MC1=MC2
Pat Sets P =MC1 , Alex sets P =MC2
as a result MC1=MC2
A Much More Difficult Problem. What if we don’t know the MC of each producer?
$2.50 Price of Corn
MC1
0 40 Quantity(Bushels of Corn)
$
MC2
160 Quantity(Bushels of Corn)
$
Pat’s Farm Alex’s Farm
The Role of Prices
A Price is a SignalWrapped Up
in an Incentive
The Invisible Hand
• “Every individual... neither intends to promote the public interest, nor knows how much he is promoting it... he intends only his own security; by directing that industry in such a manner as its produce may be of the greatest value, he intends only his own gain, and he is in this, as in many other cases, led by an invisible hand to promote an end which was no part of his intention.”
• What is this invisible hand leading us?
The Role of Prices
• Price increases.– It’s a signal that people want more of it.– It’s an incentive for producers to provide more of it.
• Price decreases.– It’s a signal that people don’t want as much of it.– It’s an incentive for producers to provide less of it.
Pat Sets P =MC1 , Alex sets P =MC2
as a result MC1=MC2
A Much More Difficult Problem. What if we don’t know the MC of each producer?
$2.50 Price of Corn
MC1
0 40 Quantity(Bushels of Corn)
$
MC2
160 Quantity(Bushels of Corn)
$
Pat’s Farm Alex’s Farm
Price of Corn
MC1
0 40 Quantity(Bushels of Corn)
$
MC2
160 Quantity(Bushels of Corn)
$
Pat’s Farm Alex’s Farm
Pat Sets P =MC1 , Alex sets P =MC2
as a result MC1=MC2
MC1
0 40 Quantity(Bushels of Corn)
$
MC2
160 Quantity(Bushels of Corn)
$
Pat’s Farm Alex’s Farm
Pat Sets P =MC1 , Alex sets P =MC2
as a result MC1=MC2
Price of Corn
MC1
0 40 Quantity(Bushels of Corn)
$
MC2
160 Quantity(Bushels of Corn)
$
Pat’s Farm Alex’s Farm
Pat Sets P =MC1 , Alex sets P =MC2
as a result MC1=MC2
Price of Corn
MC1
0 40 Quantity(Bushels of Corn)
$
MC2
160 Quantity(Bushels of Corn)
$
Pat’s Farm Alex’s Farm
The True Importance of the P=MC Condition is P=MC1=MC2 …=MCN
Price of Corn
$2.50
So what?
• Not many markets are perfectly competitive.– Agriculture represents < 2% of workforce.
• Same dynamics at play in non-competitive markets.– Always MR vs. MC; if P↑, MR↑, regardless of the
industry.– As P↑, firms will produce more, because it will exceed
the MC for a larger amount (and for a larger number of firms).
Consider the following markets
• In the last 5 years, what’s happened to the amounts of:
• Bars/restaurants downtown, healthcare facilities, 3-D movies, movies starring James Franco, reality television shows, social media sites, touch screen phones/tablets?
• Newspapers, music stores, movie rental stores, post offices, sitcoms, movies starring Keanu Reeves?
• Why?
Prices, Signals and Incentives - The Invisible Hand!
• Why Central Planning Doesn’t Work– Even if mandating production were ‘ok’
• Couldn’t possibly know how much consumers want/need of all different goods and services.
• Couldn’t possibly know all of the marginal costs of all producers.
• So, couldn’t possibly efficiently allocate production between firms, or goods/services between consumers.
• The allocative function of prices. What’s the big deal?
A Natural Experiment
• Suppose there were two countries with the same culture, the same people, the same history, that are about the same size and have about the same income. One of these countries uses central planning and one of them uses market forces (the invisible hand).
A lot of other factors at play…
• Maybe it’s not the invisible hand, but other factors…
So what if we could take one country, have them start with central planning, then suddenly allow market forces to work?
What happened in 1978?