2. Price Elasticity of Demand
Price elasticity of demand allows us to measure the
relative size of changes in the price and the quantity
demanded
The price elasticity of demand formula is used to
measure the degree of consumer responsiveness, or
sensitivity to a change in price.
The idea is to take a closer look at how sensitive quantity is to
the changes.
3. Price Elasticity of Demand
Question: “Is the response a little or a lot?”
What does it measure?
The price elasticity of demand measures HOW RESPONSIVE
CONSUMERS ARE TO A CHANGE IN PRICE!!!!
4. The elasticity formula
percentage change in quantity demanded
percentage change in price
Ed
=
5. Price Elasticity of Demand
LO1
E = %
D
q
%
p
¸ D
p p
p
D
D
E = D
q
q q
+
+
( ') / 2 ( ') / 2
D
Law of demand
ED negative
Absolute value of ED positive
6. The elasticity formula
So, what does the percentage change in quantity
demanded and the percentage change in price
mean??
percentage change in Q = newQ -old Q
d d
d old Q
d
new P old P
old P
percentage change in P
-
=
7. LO1 Demand Curve for Tacos
D
$1.10
0.90
0 95 105 Thousands per day
Price per taco
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
8. Categories of ED
LO1
If %Δq < %Δp
– ED between 0 and 1
– Inelastic D
If %Δq > %Δp
– ED greater than 1
– Elastic D
If %Δq = %Δp
– ED = 1
– Unit elastic D
9. 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
10. 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
11. LO1
Demand, Price
Elasticity, and
Total Revenue
Where 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
(a) Demand and price elasticity
Elastic, ED >1
Unit elastic, ED =1
Inelastic, ED c <1
D
$100
90
80
Price per unit
70
60
50
40
30
20
10
b
a
d
e
0 100 200 500 800 900 1,000 Quantity per period
25,000
Total revenue
(b) Total revenue
Total
revenue
0 500 1,000 Quantity per period
12. 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
– %Δp causes an exact opposite %Δq
13. LO1
Constant-Elasticity Demand Curves
(a) Perfectly elastic
Price per unit
0 Quantity per period
p
ED = ∞
D
(b) Perfectly inelastic
Price per unit ED’’ = 0
(c) Unit elastic
ED ’’ = 1
D’
0 Quantity
per period
Q
Price per unit
$10
6
b
0 Quantity
per period
60 100
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
Exhibit 3
14. LO1
Exhibit 4
Summary of Price Elasticity of Demand
Effects of a 10 Percent Increase in Price
15. Determinants of Price
Elasticity of D
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)
LO2
16. LO2
Demand Becomes More Elastic over Time
Dw: one week after the price increase
Dm: one month after the price increase
Dy: one year after the price increase
Dw
Price per unit
$1.25
1.00
Dm
Dy
Exhibit 5
e
0 50 75 95 100 Quantity per day
Dy is more elastic than Dm , which is more elastic than Dw
17. Elasticity Estimates
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
LO2
19. Price Elasticity of Supply
Elasticity
– Responsiveness
Price elasticity of supply
– Producers’ responsiveness to a change
in price
– Percentage change in quantity supplied
divided by percentage change in price
LO3
20. Price Elasticity of Supply
E = %
D
q
%
p
S
D
E = D
q
q q
Law of supply
ES positive
LO3
p
¸ D
p p
( ') / 2 ( ') / 2
S
+
+
21. LO3
Exhibit 7
Price Elasticity of Supply
S
Price per unit
p’
p
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.
0 q q’ Quantity per period
22. Categories of ES
LO3
If %Δq < %Δp
– ES between 0 and 1
– Inelastic S
If %Δq > %Δp
– ES greater than 1
– Elastic S
If %Δq = %Δp
– ES = 1
– Unit elastic S
23. Constant-Elasticity Supply Curves
Perfectly elastic S curve
LO3
– 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
– %Δp causes an exact opposite %Δq
– S curve is a ray from the origin
24. LO3
Constant-Elasticity Supply Curves
(a) Perfectly elastic
0 Quantity
per period
Price per unit
p
ES = ∞
S
(b) Perfectly inelastic
Price per unit ES’ = 0
(c) Unit elastic
ES’’ = 1
S’
0 Quantity
per period
Q
Price per unit
$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 %Δp results in the
same %Δq supplied.
Exhibit 8
25. Determinants of Supply Elasticity
ES is greater:
LO3
– If the marginal cost
rises slowly as
output expands
– The longer the
period of
adjustment (time)
26. LO3
Exhibit 9
Supply Becomes More Elastic over Time
Sw
Price per unit
$1.25
1.00
Sm
Sy
Sw: one week after the
price increase
Sm: one month after the
price increase
Sy: one year after the
price increase
0 100 110 140 200 Quantity per day
Sw is less elastic than Sm, which is less elastic than Sy
27. Income Elasticity
of Demand
Demand responsiveness to a change in
consumer income
Percentage change in demand divided by the
percentage change in income that caused it
Inferior goods
LO4
– Negative income elasticity
Normal goods
– Positive income elasticity
28. Other Elasticity Measures
Income Elasticity Measure:
Def: Income elasticity of demand is the ratio of the percentage
change in quantity demanded of a good or service to a given
percentage change in income.
E Q Q I +
I I
2 1
1 2
= -
2 1
1 2
I I
Q Q
¸ -
+
29. Income Elasticity
of Demand
Normal goods
LO4
– Income inelastic
• Elasticity between 0 and 1
• Necessities
– Income elastic
• Elasticity > 1
• Luxuries
31. Cross-Price Elasticity
of Demand
Responsiveness of D for one good to
changes in P of another good
%Δ in demand for one good divided by
%Δ in price of another good
LO4
– If positive: substitutes
– If negative: complements
– If zero: unrelated
32. Cross-Price Elasticity of Demand
Def: The ratio of the percentage change in the
quantity demanded of a good or service to a given
percentage change in the price of another good or
service
-
y y
2 1
E = Q -
Q
c P P
1 2
x x
2 1
1 2
y y
x x
P P
Q Q
+
¸
+