Elasticity, Surplus, And Taxation part-1
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AP Notes AP Microeconomics Elasticity, Surplus, and Taxation
Elasticity, Surplus, and TaxationElasticity, Surplus, and Taxation
4 of 8
Production and Costs5 of 8
Perfect Competition and Profit6 of 8
Monopoly, Mopolistic
Competition...
Sections:
This section covers the following topics:
Elasticity
Income elasticity of demand
Cross-price elasticity of demand
Producer and consumer surplus
Taxation and deadweight loss
Section Summary
Elasticity describes how sensitive something is to changes in price. The
elasticity of supply or demand is the percentage change in supply or demand
over the percentage change in price. If supply or demand is inelastic, that ratio
is between 1 and 0. The ratio is exactly 1 in the unit elastic case and is greater
than 1 if supply or demand is elastic.
If demand for a good is inelastic at the current price, businesses should raise
their prices (and vice-versa). The income elasticity of demand shows how
demand will react when the average consumers income changes. The cross-
price elasticity of demand relates the price of one good to the demand for
another. When the price of a substitute (Ford and Toyota are substitutes)
rises, demand rises, but when the price of a complement (milk and cookies
are complements) rises, demand falls.
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Surplus is the benefit that someone gains by producing or consuming a good
minus its cost, and is divided into producer surplus and consumer surplus.
If the market is not at equilibrium, total surplus is reduced and a deadweight
loss is created.
Taxation also creates a deadweight loss. Whoever is more inelastic (suppliers or
demanders) bears a greater portion of the burden of taxation.
People also have a tendency to engage in unproductive rent-seeking
activities, such as lobbying, in which they try to transfer surplus to
themselves.
Elasticity of Supply and Demand
Overview
Elasticity is used to measure how sensitive customers are to a change
in price. If they are very sensitive, price is said to be elastic. If changes in
price dont really change demand, price is inelastic. Price elasticity of
supply or demand at a certain price is measured by the following
equation:
Elasticity of [Supply or Demand] = % change in Quantity (Supplied or
Demanded)
% change in Price
Note: If you are trying to calculate the elasticity of supply, the put the % change
in quantity supplied in the top of the fraction. The same is true with demand.
We just used the [supplied or demanded] notation to simplify things.
Interpreting Elasticity
By convention, elasticity is always a positive number. If you plug in values and
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get a negative answer, just make it positive. This table explains the meaning of
each elasticity value:
Elasticity Value: Classification: Description:
Less than 1 Inelastic % change in price > % change in supply
or demand
Equal to 1 Unit elastic % change in price = % change in supply
or demand
Greater than 1 elastic % change in price < % change in demand
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Graphs of Elasticity
Lets take some time to look at graphs of elasticity.
These seem complicated at first, but youll get there.
What should you know?
Elasticity of Demand
Look at the left graph on the bottom of the page. Notice how half of the curve is
elastic and the other is inelastic.
Demand is unit elastic right in the middle. To locate the point ofunit elasticity,
locate the two places demand intercepts an axis. Draw a line up from halfway
between those two points (like I did in the picture). Unit elasticity is right on thatpoint.
Elasticity of Supply
For supply, you just need to find where the curve hits the axis.
If supply intersects the price axis, the entire curve is elastic but gets smaller as
you move farther out.
If supply intersects the supply axis, the entire curve is inelastic but gets larger
as you move.
If supply intersects the origin, the entire curve is unit elastic.
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Perfect Elasticity
Look at the graphs above and to the right.
Perfect elasticity any change in price causes an infinite change in quantity
Perfect inelasticity any change in price causes no change in quantity
Finding Elasticity at a Point
How would you find the elasticity at point P1? This is a demand curve, so the
equation we need is
Elasticity of Demand = % change in
Demand
% change in Price
Unfortunantl theres a roblem. If ou
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,
start from price = $7, the % change in price
from $7 to $6 will be different from the % change had you gone from $5 to $6.
This is dealt with by adding two points on either side of the target point and
dividing by the middle value. You then multiply by 100 to convert to a
percentage.
To calcualte the elasticity at P1, percent change in demand = (5-3)/4 100 =
50% and percent change in price = (7-5)/6 100 = 33.3%. Percent change in
demand / percent change in price = 50/33.3 = 1.5, so demand is elastic at point
P1.
Elasticity of Demand Effect of Price Increase
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ast c owers tota revenue
Unit Elastic No change
Inelastic Raises total revenue
The following graphs illustrate each of these situations. Price shifts from onepoint to another, shown by the red arrow. The area labeled with a G
represents revenue gained, while the area with an L is revenue lost. Notice
how these graphs relate to the table above.
Price Discrimination
In an ideal world, you could charge people who dont really care about price
more than consumers who are price sensitive. Some businesses actually do
this, using a technique called price discrimination. The airline business is a
great example. They want to charge high rates to business travelers who are
using company money and dont care, but cant afford to make tickets too
expensive for regular people. The answer? Find things that distinguish business
people from ordinary consumers. Business trips rarely last over a weekend, so
airlines give you a discount if you fly in Friday and leave Sunday. Using this
strategy, the company can cater to both groups of consumers and maximize
revenue.
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MLA CHICAGO
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