principles of microeconomics - lecture - elasticity

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    Elasticity

    Dr. Katherine Sauer

    Principles of Microeconomics

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    I. Evaluating Elasticity

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    Extreme Cases:

    There are some goods that no matter what the price is,

    consumers demand the same quantity.

    perfectly inelastic demandd = 0

    There are some goods that when theprice changes even a

    little, consumers completely change their buyingbehavior.perfectly elastic demand

    d =

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    Examples of estimated price elasticities:

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    B. Rules for Evaluating Price Elasticity of Supply

    When s > 1, we say supply isELASTIC

    - large change in Qs in response to a price change

    When s=1, we say supply isUNIT ELASTIC

    -proportional change in Qs in response to a price

    change

    When s

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    Extreme Cases:

    There are some goods that no matter what the price is,

    there is only a fixed quantity.perfectly inelastic supply

    d = 0

    There are some goods that when theprice changes evena little, producers completely change the quantity.

    perfectly elastic supply

    d =

    Note: firms often have capacity constraints. That is,

    they may be elastic at low levels of production and then

    very inelastic at high levels of production.

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    Ex: Consider the milk industry.

    - in the short run a farmer has a certain size of dairy and

    number of cows- in the long run, the farmer could expand the herd and size of

    the dairy

    It is estimated that a 10% increase in the selling price of milkwill result in a

    1.2% increase in quantity supplied in the short run.

    25% increase in quantity supplied in the long run.

    Short Run s=? Long Run s=?

    s= 1.2 % / 10% = 0.12

    inelastic supply

    s= 25 % / 10% = 2.5

    elastic supply

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    C. Rules for Evaluating Income Elasticity

    I > 0 normal good

    I < 0 inferior good

    Necessities have small income elasticities.

    Luxuries have large income elasticities.

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    D. Rules for Evaluating Cross Price Elasticity

    1,2 > 0 substitutes1,2 < 0 complements

    1,2 = 0 not related

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    Go back to the worksheet and evaluate each elasticity.

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    II. Elasticity

    Graphically

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    A. Demand

    quantity

    price

    quantity

    price

    D

    D

    Inelastic Demand Elastic Demand

    P1

    P2

    P1

    P2

    Q1 Q2 Q2Q1

    small change in quantity large change in quantity

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    quantity

    price

    quantity

    price

    D

    D

    Perfectly Perfectly

    Inelastic Demand Elastic Demand

    P2

    P1

    P2

    P1

    Q1 Q2 Q1

    no change in quantity total change in quantity

    D =0

    D =

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    B. Supply

    quantity

    price

    quantity

    priceS

    S

    Inelastic Supply Elastic Supply

    P2

    P1

    P2

    P1

    Q1 Q2 Q2Q1

    small change in quantity large change in quantity

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    quantity

    price

    quantity

    price

    S

    S

    Perfectly Perfectly

    Inelastic Supply Elastic Supply

    P2

    P1

    P2

    P1

    Q1 Q2 Q1

    no change in quantity total change in quantity

    S =0s =

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    C.Applications: Supply, Demand, and Elasticity

    Example 1: The demand for basic food commodities (e.g.wheat, corn) tends to be fairly inelastic. The supply of such

    commodities is fairly inelastic as well.

    S

    D

    quantity

    price

    P

    Q

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    Suppose a new hybrid of wheat is developed that is more productive

    than those used in the past. What happens?

    - supply increases, price falls, and quantity rises-because demand is inelastic, the change in quantity

    demanded is less than the change in price

    S

    D

    quantity

    price

    P

    Q

    S2

    P2

    Q2

    Farmers receive a lower

    price, but only sell alittle more.

    Revenue for farmers

    falls.

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    Example 2: The demand and supply of oil tend to both be fairly

    inelastic in the short run. They tend to both be more elastic in the

    long run.

    In the 1970s and 1980s, OPEC restricted the supply of oil in order

    to increase prices (and revenues).

    S

    D

    quantity

    price

    P

    Q

    S2

    P2

    Q2

    Because demand for oil isinelastic, even though the

    price increased, quantity

    only fell a little.

    Revenues for OPECincreased.

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    Over the long run, consumers switched to more fuel efficient cars

    and carpooled. Non-OPEC oil producers respond to the higher

    price of oil and increase drilling. When OPEC decreases supply,

    the effect on quantity is much more dramatic.

    S

    D

    quantity

    price

    P

    Q

    S2

    P2

    Q2

    When demand is elastic,

    revenues for OPEC

    decrease when supply isreduced.

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    quantity

    price

    D

    P2

    P1

    Q2 Q1

    S2

    Example 3: The war on drugs: reducing supply vs reducing demand

    The demand for illegal drugs tends to be somewhat inelastic relative

    to supply .

    S

    When the government focuses on

    decreasing the supply of drugs

    entering the nation:

    - supply falls

    -price rises- quantity demanded falls,

    but not much

    The higher price often leads to

    higher crime.

    Also, higher revenues for drug

    suppliers.

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    quantity

    price

    D

    P2

    P1

    Q2 Q1

    When the government instead pursues better drug education, the

    demand for drugs falls.

    S

    The price and quantity will fall.

    Also, revenues for drug suppliers

    will fall.

    D2

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    III

    . Elasticity and a Firms Revenue

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    On a linear demand curve, the elasticity changes as you

    move down the curve.

    - the slope is constant- the elasticity changes

    quantity

    price

    D

    ELASTIC

    INELASTIC

    UNIT ELASTIC

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    The Price Elasticity of DemandAffects a Firms Revenue

    Total Revenue (TR) = Price x Quantity Sold

    Recall that forconsumers, quantity is inversely related to

    price.

    When a firm raises prices, the quantity sold falls.

    When a firm lowers prices, the quantity sold rises.

    - elasticity tells us how much quantity rises or falls

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    If demand is elastic (d > 1), consumers are quite

    responsive to a price change:

    - an increase in price by 5% will reduce quantity

    by more than 5%

    - total revenue will fall when price is increased

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    If demand is inelastic (d < 1), consumers are not very

    responsive to a price change:

    - an increase in price by 5% will reduce quantityby less than 5%

    - total revenue will rise when price is increased

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    If demand is unit elastic (d = 1), consumers have a

    proportional response to a price change:

    - an increase in price by 5% will reduce quantity

    by exactly 5%

    - total revenue will be unchanged when price is

    increased

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    Information on price elasticity of demand is very

    useful for businesses.