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    AP Notes AP Microeconomics Elasticity, Surplus, and Taxation

    Elasticity, Surplus, and TaxationElasticity, Surplus, and Taxation

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    Production and Costs5 of 8

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    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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