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Elasticity
The price elasticity of demand measures the
sensitivity of the quantity demanded to changes
in the price.

Demand is inelastic if it does not respond much
to price changes, and elastic if demand changes
a lot when the price changes.

β€’ Necessities tend to have inelastic demand.

β€’ Luxuries tend to have elastic demand.

β€’ Demand is elastic when there are close
    substitutes.

β€’ Elasticity is greater when the market is
     defined more narrowly: food vs. ice cream.

β€’ Elasticity is greater in the long run, as
     people are more free to adjust their behavior.
Price elasticity of demand =

Percentage change in quantity demanded /
Percentage change in price


    Βͺ QP
= ___ ___


    Βͺ PQ

β€’ We use this formula instead of the slope,
    because the slope is sensitive to the units of
    measurement of price and quantity.

β€’ Mankiw adopts the convention of reporting
    the absolute value of the price elasticity.

β€’ Elasticity depends on where we are on the
     demand curve. For a straight line demand
     curve, elasticity is highest when the price is
     high (and quantity is low).
β€’ For the elasticity between two points, the
     formula can depend on whether we move
     from point A to point B, or point B to point
     A.

A: Price = $4, Quantity = 120
B: Price = $6, Quantity = 80

A to B: Elasticity = (40/2)(4/120) = 2/3
B to A: Elasticity = (40/2)(6/80) = 1.5



β€’ The midpoint method: Use the average of
    the two prices for P, and the average of the
    two quantities for Q.

Elasticity = (40/2)(5/100) = 1

β€’ When we measure the elasticity at a single
    point (by considering a very small price
    change), all 3 computations give the same
    answer.
When economists refer to demand as inelastic ,
we mean a price elasticity of demand that is less
than 1.

Demand is elastic when the price elasticity of
demand is greater than one.

When the price elasticity of demand is one, we
say that demand has unit elasticity.
Total Revenue and the Price Elasticity of Demand


 How does total revenue, PΓ—Q, change when we
 increase the price?



 Revenue increases if demand is inelastic       ,

 Revenue decreases if demand is elastic , and

 Revenue stays the same if demand is unit
 elastic .
Income Elasticity of Demand

Income elasticity of demand =

Percentage change in quantity demanded /
Percentage change in income


    Βͺ QI
= ___ ___


    Βͺ IQ

β€’ For normal goods , the income elasticity of
    demand is positive.

β€’ For luxury goods, the income elasticity of
     demand is greater than 1.

β€’ For inferior goods, the income elasticity of
     demand is negative.
The Price Elasticity of Supply

Price elasticity of supply =

Percentage change in quantity supplied /
Percentage change in price


    Βͺ QP
= ___ ___


     Βͺ PQ

β€’ The price elasticity of supply is positive.

β€’ The closer the industry (firm) is to full
    capacity, the lower the price elasticity of
    supply.

β€’ The price elasticity of supply is greater in
    the long run, as firms are more free to adjust
    their behavior and adjust their capacities.
Applications of Elasticity


 1. On the Road with Elasticity.

 2. Can Good News for Farming be Bad News

    for Farmers?

 A new hybrid wheat seed that increases yields

 shifts the supply curve to the right. Because

demand is inelastic, revenues fall.

Why adopt the innovation? Competition. It is

better for each individual farmer to adopt it,

because that farmer’s revenues will be higher.

3. Drug Policy and Drug-related Crime.

The U.S. devotes billions of dollars to the war
on drugs. How does this affect the equilibrium

price and quantity of drugs? How does it affect

the amount of burglaries and robberies by drug

addicts to support their habits?

β€’ Drug interdiction reduces the supply of

 drugs, which causes the new equilibrium to
 be at a higher price and lower quantity
β€’ Because the demand for drugs is inelastic,
   this raises the total revenue received by drug
   dealers, and the total expenditure by addicts.
   Holding fixed the number of addicts, the
   increased expenditure is financed by
   increased drug-related crime.

β€’ Better to try to reduce the demand for drugs
   (by education, for example), because price
   and quantity would fall, reducing crime.

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Price Elasticity of Demand

  • 1. Elasticity The price elasticity of demand measures the sensitivity of the quantity demanded to changes in the price. Demand is inelastic if it does not respond much to price changes, and elastic if demand changes a lot when the price changes. β€’ Necessities tend to have inelastic demand. β€’ Luxuries tend to have elastic demand. β€’ Demand is elastic when there are close substitutes. β€’ Elasticity is greater when the market is defined more narrowly: food vs. ice cream. β€’ Elasticity is greater in the long run, as people are more free to adjust their behavior.
  • 2. Price elasticity of demand = Percentage change in quantity demanded / Percentage change in price Βͺ QP = ___ ___ Βͺ PQ β€’ We use this formula instead of the slope, because the slope is sensitive to the units of measurement of price and quantity. β€’ Mankiw adopts the convention of reporting the absolute value of the price elasticity. β€’ Elasticity depends on where we are on the demand curve. For a straight line demand curve, elasticity is highest when the price is high (and quantity is low).
  • 3. β€’ For the elasticity between two points, the formula can depend on whether we move from point A to point B, or point B to point A. A: Price = $4, Quantity = 120 B: Price = $6, Quantity = 80 A to B: Elasticity = (40/2)(4/120) = 2/3 B to A: Elasticity = (40/2)(6/80) = 1.5 β€’ The midpoint method: Use the average of the two prices for P, and the average of the two quantities for Q. Elasticity = (40/2)(5/100) = 1 β€’ When we measure the elasticity at a single point (by considering a very small price change), all 3 computations give the same answer.
  • 4. When economists refer to demand as inelastic , we mean a price elasticity of demand that is less than 1. Demand is elastic when the price elasticity of demand is greater than one. When the price elasticity of demand is one, we say that demand has unit elasticity.
  • 5. Total Revenue and the Price Elasticity of Demand How does total revenue, PΓ—Q, change when we increase the price? Revenue increases if demand is inelastic , Revenue decreases if demand is elastic , and Revenue stays the same if demand is unit elastic .
  • 6. Income Elasticity of Demand Income elasticity of demand = Percentage change in quantity demanded / Percentage change in income Βͺ QI = ___ ___ Βͺ IQ β€’ For normal goods , the income elasticity of demand is positive. β€’ For luxury goods, the income elasticity of demand is greater than 1. β€’ For inferior goods, the income elasticity of demand is negative.
  • 7. The Price Elasticity of Supply Price elasticity of supply = Percentage change in quantity supplied / Percentage change in price Βͺ QP = ___ ___ Βͺ PQ β€’ The price elasticity of supply is positive. β€’ The closer the industry (firm) is to full capacity, the lower the price elasticity of supply. β€’ The price elasticity of supply is greater in the long run, as firms are more free to adjust their behavior and adjust their capacities.
  • 8. Applications of Elasticity 1. On the Road with Elasticity. 2. Can Good News for Farming be Bad News for Farmers? A new hybrid wheat seed that increases yields shifts the supply curve to the right. Because demand is inelastic, revenues fall. Why adopt the innovation? Competition. It is better for each individual farmer to adopt it, because that farmer’s revenues will be higher. 3. Drug Policy and Drug-related Crime. The U.S. devotes billions of dollars to the war on drugs. How does this affect the equilibrium price and quantity of drugs? How does it affect the amount of burglaries and robberies by drug addicts to support their habits? β€’ Drug interdiction reduces the supply of drugs, which causes the new equilibrium to be at a higher price and lower quantity
  • 9. β€’ Because the demand for drugs is inelastic, this raises the total revenue received by drug dealers, and the total expenditure by addicts. Holding fixed the number of addicts, the increased expenditure is financed by increased drug-related crime. β€’ Better to try to reduce the demand for drugs (by education, for example), because price and quantity would fall, reducing crime.