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Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 1
ECON
Designed byAmy McGuire, B-books, Ltd.
McEachern 2010-2011
5CHAPTERElasticity of Demand and Supply
Micro
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 2
Price Elasticity of Demand
LO1
Elasticity– Responsiveness
Price elasticity of demand– Consumers’
responsiveness to a change in price
– Percentage change in quantity demanded divided by percentage change in price
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 3
Price Elasticity of Demand
LO1
Law of demand ED negative
Absolute value of ED positive
2/)'(2/)'(
%
%
pp
p
qE
p
qE
D
D
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 4
LO1
Demand Curve for Tacos
D
10595 Thousands per day 0
0.90
Pric
e pe
r ta
co
$1.10
b
a
If the price of tacos drops from $1.10 to $0.90, the quantity demanded increases from 95,000 to 105,000.
Exhibit 1
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 5
Categories of ED
LO1
If %∆q < %∆p
– ED between 0 and 1
– Inelastic D If %∆q > %∆p
– ED greater than 1
– Elastic D If %∆q = %∆p
– ED = 1
– Unit elastic D
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 6
Elasticity and Total Revenue
LO1
Total revenue = price * quantity demanded at this price
TR= p * q As p decreases
If D elastic, TR increases
If D inelastic, TR decreases
If D unit elastic, TR unchanged
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 7
Price Elasticity and the Linear D Curve
LO1
Linear D curve– Constant slope– Different elasticity– D becomes less elastic as we move
downward D upper half: elastic D lower half: inelastic D midpoint: unit elastic
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 8
LO1
Demand, Price Elasticity, and Total
RevenueWhere D is elastic, a lower P increases TR
Where D is inelastic, a lower P decreases TR
TR reaches a maximum at the rate of output where D is unit elastic
Exhibit 2
D
90
60
10
70
Pric
e pe
r un
it
$100
80
50403020
b
a
de
800500200100 Quantity per period1,000 0 900
Tot
al r
even
ue
$25,000
500 Quantity per period1,000 0
(a) Demand and price elasticity
(b) Total revenue
Total
revenue
Unit elastic, ED =1
Elastic, ED >1
Inelastic, ED <1c
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 9
Constant-Elasticity Demand Curves
LO1
Perfectly elastic D curve
– Horizontal; ED = ∞
– Consumers don’t tolerate P increases Perfectly inelastic D curve
– Vertical; ED = 0
– ‘Price is no object’ Unit-elastic D curve
– %∆p causes an exact opposite %∆q
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 10
LO1
Constant-Elasticity Demand Curves
0 Quantity per period
Pric
e pe
r un
it
pED = ∞
(a) Perfectly elastic
D
Pric
e pe
r un
itED’’ = 0
(b) Perfectly inelastic
ED ’’ = 1
(c) Unit elastic
D’
0 Quantity
per periodQ
Pric
e pe
r un
it
$10
6
0 Quantity
per period60 100
D’’
a
Consumers demand all quantity offered for sale at p, but demand nothing at a price above p
Consumers demand Q regardless of price
Total revenue is the same for each p-q combination
b
Exhibit 3
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 11
LO1
Summary of Price Elasticity of DemandEffects of a 10 Percent Increase in Price
Exhibit 4
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 12
Determinants of Price Elasticity of D
LO2
ED is greater:
– The greater the availability of substitutes, and the more similar the substitutes
– The more important the good as a share of the consumer’s budget
– The longer the period of adjustment (time)
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 13
LO2
Demand Becomes More Elastic over Time
Dw
Pric
e pe
r un
it
$1.25
1.00
Dm
Quantity per day95 10075500
Dy
e
Dy is more elastic than Dm , which is more elastic than Dw
Dw: one week after the price increase
Dm: one month after the price increase
Dy: one year after the price increase
Exhibit 5
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 14
Elasticity Estimates
LO2
Short run– Consumers have little time to adjust
Long run– Consumers can fully adjust to a price change
Demand is more elastic in the long run
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 15
LO2 Selected Price Elasticities of Demand (Absolute Values)
Exhibit 6
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 16
LO2C
ase
Stu
dy
Deterring Young Smokers Health hazard
Kills 440,000 Americans a year Lung cancer; Heart disease;
Emphysema; Stroke Cost to society
$7.18 per pack sold Higher health cost Lost worker
productivity Total: $150 billion a year
$3,400 per smoker per year
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 17
LO2C
ase
Stu
dy
Deterring Young Smokers Discouraging smoking
Prohibit the sale of cigarettes to minors Higher cigarette tax
ED is higher for teens
Big share of budget Less peer pressure Not an addiction yet
Reduces teen smoking Change consumer tastes
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 18
Price Elasticity of Supply
LO3
Elasticity– Responsiveness
Price elasticity of supply– Producers’ responsiveness to a change
in price– Percentage change in quantity supplied
divided by percentage change in price
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 19
Price Elasticity of Supply
LO3
Law of supply ES positive
2/)'(2/)'(
%
%
pp
p
qE
p
qE
S
S
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 20
LO3
Price Elasticity of Supply
S
Pric
e pe
r un
it
p
p’
Quantity per periodq q’0
If the price increases from p to p’, the quantity supplied increases from q to q’.
Price and quantity supplied move in the same direction, so the price elasticity of supply is a positive number.
Exhibit 7
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 21
Categories of ES
LO3
If %∆q < %∆p
– ES between 0 and 1
– Inelastic S If %∆q > %∆p
– ES greater than 1
– Elastic S If %∆q = %∆p
– ES = 1
– Unit elastic S
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 22
Constant-Elasticity Supply Curves
LO3
Perfectly elastic S curve
– Horizontal; ES = ∞
– Producers supply 0 at a price below P Perfectly inelastic S curve
– Vertical; ES = 0
– Goods in fixed supply Unit-elastic S curve
– %∆p causes an exact opposite %∆q– S curve is a ray from the origin
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 23
LO3
Constant-Elasticity Supply Curves
0 Quantity
per period
Pric
e pe
r un
it
pES = ∞
(a) Perfectly elastic
S
Pric
e pe
r un
itES’ = 0
(b) Perfectly inelastic
ES’’ = 1
(c) Unit elastic
S’
0 Quantity
per period
Q
Pric
e pe
r un
it
$10
5
0 Quantity
per period
10 20
S’’
Firms supply any amount of output demanded at p, but supply 0 at prices below p.
Quantity supplied is independent of the price
Any %∆p results in the same %∆q supplied.
Exhibit 8
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 24
Determinants of Supply Elasticity
LO3
ES is greater:
– If the marginal cost rises slowly as output expands
– The longer the period of adjustment (time)
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 25
LO3
Supply Becomes More Elastic over Time
Sw
Pric
e pe
r un
it
1.00
$1.25
Quantity per day110 2000 100 140
Sm
Sy
Sw: one week after the price increase
Sm: one month after the price increase
Sy: one year after the price increase
Sw is less elastic than Sm, which is less elastic than Sy
Exhibit 9
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 26
Income Elasticity of Demand
LO4
Demand responsiveness to a change in consumer income
Percentage change in demand divided by the percentage change in income that caused it
Inferior goods
– Negative income elasticity Normal goods
– Positive income elasticity
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 27
Income Elasticity of Demand
LO4
Normal goods– Income inelastic
• Elasticity between 0 and 1• Necessities
– Income elastic• Elasticity > 1• Luxuries
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 28
LO4
Selected Income Elasticities of Demand
Exhibit 10
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 29
LO4C
ase
Stu
dy
The Market for Food and ‘The Farm Problem’
1950: 10 million family farms Today: less than 3 million Demand
Price inelastic Total revenue falls
when P falls Income inelastic
D increases Technological improvements
S increases
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 30
The Demand for Grain
LO4
D
5 10 11 Billions of bushels per year0
Pric
e pe
r bu
shel
$5
4
3
2
1
The D for grain tends to be inelastic.
As the market P falls, so does TR.
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 31
LO4
The Effect on Increases in Demand and Supply on Farm Revenue
S’
D’
D
5 10 14
Billions of bushels per year
0
Pric
e pe
r bu
shel
$8
4
S
Technological advance
- sharp increase in S
Increase in consumer income
- small increase in D
Drop in P
Drop in total revenue
Exhibit 11
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 32
Cross-Price Elasticity of Demand
LO4
Responsiveness of D for one good to changes in P of another good
%∆ in demand for one good divided by %∆ in price of another good– If positive: substitutes– If negative: complements– If zero: unrelated
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 33
Price Elasticity and Tax IncidenceA
pp
en
dix Tax
– Decrease in S by the amount of tax
Tax incidence– Consumers: high P– Producers: net-of-tax receipt
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 34
Price Elasticity and Tax IncidenceA
pp
en
dix The more price elastic the D:
– The more tax producers pay – The less tax consumers pay
The more elastic the S:– The less tax producers pay– The more tax consumers pay
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 35
Effects of Price Elasticity of D on Tax Incidence
St
S
D’
St
S
D
$0.20 Tax
Pric
e pe
r ou
nce
$1.15
1.000.95
Millions of ounces per day1090
$0.20 Tax
107
Pric
e pe
r ou
nce
$1.051.00
0.85
(a) Less elastic demand (b) More elastic demand
The more elastic the D curve, the more tax is paid by producers (lower net-of-tax receipt)
Exhibit A
Chapter 5 Copyright ©2010 by South-Western, a division of Cengage Learning. All rights reserved 36
Effects of Price Elasticity of Supply on Tax Incidence
St’
S’
D’’
$0.20 Tax
Pric
e pe
r ou
nce
$1.15
1.000.95
(a) More elastic supply
St”S”
D’’
$0.20 Tax
109
Pric
e pe
r ou
nce
$1.051.00
0.85
(b) Less elastic supply
Millions of ounces per day1080
The more elastic the S curve, the more tax is paid by consumers as a higher price.
Exhibit B