prepared by: jamal husein c h a p t e r 3 © 2005 prentice hall business publishingsurvey of...

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© 2005 Prentice Hall Business Publishing © 2005 Prentice Hall Business Publishing Survey of Economics, 2/e Survey of Economics, 2/e O’Sullivan & Sheffrin O’Sullivan & Sheffrin Prepared by: Jamal Husein C H A P T E R 3 3 Elasticity: A Measure of Responsiveness

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Page 1: Prepared by: Jamal Husein C H A P T E R 3 © 2005 Prentice Hall Business PublishingSurvey of Economics, 2/eO’Sullivan & Sheffrin Elasticity: A Measure of

© 2005 Prentice Hall Business Publishing© 2005 Prentice Hall Business Publishing Survey of Economics, 2/eSurvey of Economics, 2/e O’Sullivan & SheffrinO’Sullivan & Sheffrin

Prepared by: Jamal Husein

C H A P T E R

33

Elasticity: A Measure of Responsiveness

Page 2: Prepared by: Jamal Husein C H A P T E R 3 © 2005 Prentice Hall Business PublishingSurvey of Economics, 2/eO’Sullivan & Sheffrin Elasticity: A Measure of

© 2005 Prentice Hall Business Publishing Survey of Economics, 2/e O’Sullivan & Sheffrin 2

The Concept of ElasticityThe Concept of ElasticityThe Concept of ElasticityThe Concept of Elasticity

How large is the response of producers and consumers to changes in price?changes in price? Before business firms and the government decide to change prices and taxes, they must anticipate the magnitude of response by those affected.

ElasticityElasticity is a measure of the responsiveness of people to changes in economic variables.

Page 3: Prepared by: Jamal Husein C H A P T E R 3 © 2005 Prentice Hall Business PublishingSurvey of Economics, 2/eO’Sullivan & Sheffrin Elasticity: A Measure of

© 2005 Prentice Hall Business Publishing Survey of Economics, 2/e O’Sullivan & Sheffrin 3

Popular Elasticity MeasuresPopular Elasticity MeasuresPopular Elasticity MeasuresPopular Elasticity Measures

Price elasticity of demand ( Ed )Price elasticity of demand ( Ed ) Price elasticity of supply ( Es )Price elasticity of supply ( Es ) Income elasticity of demand Cross elasticity of demand for

related goods

Popular measures of elasticity include:

Page 4: Prepared by: Jamal Husein C H A P T E R 3 © 2005 Prentice Hall Business PublishingSurvey of Economics, 2/eO’Sullivan & Sheffrin Elasticity: A Measure of

© 2005 Prentice Hall Business Publishing Survey of Economics, 2/e O’Sullivan & Sheffrin 4

Price Elasticity of DemandPrice Elasticity of DemandPrice Elasticity of DemandPrice Elasticity of Demand

Price elasticity of demandPrice elasticity of demand( Ed )( Ed ) measures the response of consumers to changes in price.

Elasticity of Demand

% Change in quantity demanded

% Change in Price== Ed

Page 5: Prepared by: Jamal Husein C H A P T E R 3 © 2005 Prentice Hall Business PublishingSurvey of Economics, 2/eO’Sullivan & Sheffrin Elasticity: A Measure of

© 2005 Prentice Hall Business Publishing Survey of Economics, 2/e O’Sullivan & Sheffrin 5

Computing Price Elasticity of DemandComputing Price Elasticity of DemandComputing Price Elasticity of DemandComputing Price Elasticity of Demand

% .Q

8 5 1 0 0

1 0 0

1 5

1 0 00 1 5 o r 1 5 %

%$ 2. $ 2 .

$ 2 .

$ 0.

$ 2 .P

2 0 0 0

0 0

2 0

0 010%

%

%.

Q

P

1 5 %

1 0 %1 5 0

Elasticity of Demand

% Change in quantity demanded

% Change in Price== Ed

Page 6: Prepared by: Jamal Husein C H A P T E R 3 © 2005 Prentice Hall Business PublishingSurvey of Economics, 2/eO’Sullivan & Sheffrin Elasticity: A Measure of

© 2005 Prentice Hall Business Publishing Survey of Economics, 2/e O’Sullivan & Sheffrin 6

Using the Midpoint Formula to Compute Using the Midpoint Formula to Compute Price Elasticity (Appendix )Price Elasticity (Appendix )Using the Midpoint Formula to Compute Using the Midpoint Formula to Compute Price Elasticity (Appendix )Price Elasticity (Appendix )

The midpoint formula is a more accurate measure of percentage changes.

p ercentage change = ab so lute va lue

average va lue

%( ) / .

Q

8 5 1 0 0

1 0 0 8 5 2

1 5

9 2 516.22%

%$ 2. $ 2 .

($ 2 . $ 2 . ) /

$ 0.

$ 2 .P

2 0 0 0

0 0 2 0 2

2 0

1 09.52%

%

%

.

..

Q

P

1 6 2 2 %

9 5 2 %1 7 0

Page 7: Prepared by: Jamal Husein C H A P T E R 3 © 2005 Prentice Hall Business PublishingSurvey of Economics, 2/eO’Sullivan & Sheffrin Elasticity: A Measure of

© 2005 Prentice Hall Business Publishing Survey of Economics, 2/e O’Sullivan & Sheffrin 7

Interpreting the Value of ElasticityInterpreting the Value of ElasticityInterpreting the Value of ElasticityInterpreting the Value of Elasticity

Response to Price Changes

Responsive

Unresponsive

Proportional

Value of

Elasticity

Ed > 1

Ed < 1

Ed = 1

Demand Elasticity

Elastic

Inelastic

Unitary elastic

Magnitudes of Change

%QD > %P

%QD < %P

%QD = %P

Type of Elasticity

Elastic

Inelastic

Substitutes Available

Many

Few

The main determinant The main determinant of demand elasticity is of demand elasticity is the availability of the availability of substitutes for the substitutes for the good in question.good in question.

Page 8: Prepared by: Jamal Husein C H A P T E R 3 © 2005 Prentice Hall Business PublishingSurvey of Economics, 2/eO’Sullivan & Sheffrin Elasticity: A Measure of

© 2005 Prentice Hall Business Publishing Survey of Economics, 2/e O’Sullivan & Sheffrin 8

Interpreting the Value of ElasticityInterpreting the Value of ElasticityInterpreting the Value of ElasticityInterpreting the Value of Elasticity

The price elasticity for water (0.20) suggests that a 10% increase in the price of water would decrease the quantity demanded by only 2%.

The elasticity for specific brands of coffee (5.6) suggests that a 10% increase in the price of a specific brand would decrease its quantity demanded by 56%.

Estimated price elasticities of demand for selected products

ProductPrice elasticity

of demandSalt 0.1

Water 0.2

Coffee 0.3

Cigarettes 0.3

Shoes and footwear 0.7

Housing 1.0

Automobiles 1.2

Foreign travel 1.8

Restaurant meals 2.3

Air travel 2.4

Motion pictures 3.7

Specific brands of coffee

5.6

Page 9: Prepared by: Jamal Husein C H A P T E R 3 © 2005 Prentice Hall Business PublishingSurvey of Economics, 2/eO’Sullivan & Sheffrin Elasticity: A Measure of

© 2005 Prentice Hall Business Publishing Survey of Economics, 2/e O’Sullivan & Sheffrin 9

Using the Price Elasticity of demandUsing the Price Elasticity of demandUsing the Price Elasticity of demandUsing the Price Elasticity of demand

Applications: College EducationApplications: College Education Suppose a university increases tuition

from $4,000 to $4,400 (a 10% increase in price) and wants to predict how many fewer students will enroll as a result of the high price. The Ed of higher education

is 1.4.

percentage change in quantity demanded = 1.4 × 10% = 14%

Page 10: Prepared by: Jamal Husein C H A P T E R 3 © 2005 Prentice Hall Business PublishingSurvey of Economics, 2/eO’Sullivan & Sheffrin Elasticity: A Measure of

© 2005 Prentice Hall Business Publishing Survey of Economics, 2/e O’Sullivan & Sheffrin 10

Using the Price Elasticity of demandUsing the Price Elasticity of demandUsing the Price Elasticity of demandUsing the Price Elasticity of demand

Predicting Changes in Quantity demandedPredicting Changes in Quantity demanded Suppose you run a campus film series,

and you know that Ed is 2.0. If you decide to increase price by 15%, you can use the following rearranged formula to predict Changes in Quantity demanded

percentage change in quantity demanded = 2 × 15% = 30%

Page 11: Prepared by: Jamal Husein C H A P T E R 3 © 2005 Prentice Hall Business PublishingSurvey of Economics, 2/eO’Sullivan & Sheffrin Elasticity: A Measure of

© 2005 Prentice Hall Business Publishing Survey of Economics, 2/e O’Sullivan & Sheffrin 11

Using the Price Elasticity of demandUsing the Price Elasticity of demandUsing the Price Elasticity of demandUsing the Price Elasticity of demand

Predicting Changes in Quantity demandedPredicting Changes in Quantity demanded How would a tax on beer affect highway

deaths? The Ed for beer among adults is 1.3. If a state imposes a beer tax that increases beer price by 20%, what would happen to the number of highway deaths among young adults?

percentage change in quantity demanded = 1.3 × 20% = 26%

Page 12: Prepared by: Jamal Husein C H A P T E R 3 © 2005 Prentice Hall Business PublishingSurvey of Economics, 2/eO’Sullivan & Sheffrin Elasticity: A Measure of

© 2005 Prentice Hall Business Publishing Survey of Economics, 2/e O’Sullivan & Sheffrin 12

Elasticity and Total Revenue (TR)Elasticity and Total Revenue (TR)Elasticity and Total Revenue (TR)Elasticity and Total Revenue (TR) Elasticity of demand determines if an

increase in price will cause the firm’s revenue to increase or decrease.

Total Revenue = Price x Quantity sold

Total Revenue = Price x Quantity sold An increase in the price have two opposing effects

The good news about an increase in price is that a higher price will increase the revenue obtained from each unit sold.

The bad news is that at a higher price, fewer units are sold. Elasticity of demand tells us whether Elasticity of demand tells us whether the good news dominates over the bad news.the good news dominates over the bad news.

Page 13: Prepared by: Jamal Husein C H A P T E R 3 © 2005 Prentice Hall Business PublishingSurvey of Economics, 2/eO’Sullivan & Sheffrin Elasticity: A Measure of

© 2005 Prentice Hall Business Publishing Survey of Economics, 2/e O’Sullivan & Sheffrin 13

Predicting Changes in Total RevenuePredicting Changes in Total RevenuePredicting Changes in Total RevenuePredicting Changes in Total Revenue

Along the elastic range of the demand curve, an increase in price leads to a decrease in total revenue.

This graph shows the relationship between elasticity along a linear demand curve and total revenue. Note the following:

Along the inelastic range, an increase in price leads to an increase in total revenue.

Revenue is maximum when Ed=1.

Page 14: Prepared by: Jamal Husein C H A P T E R 3 © 2005 Prentice Hall Business PublishingSurvey of Economics, 2/eO’Sullivan & Sheffrin Elasticity: A Measure of

© 2005 Prentice Hall Business Publishing Survey of Economics, 2/e O’Sullivan & Sheffrin 14

Predicting Changes in TRPredicting Changes in TRPredicting Changes in TRPredicting Changes in TR

Elasticity and Total Revenue (TR)

Type of demand Value of Ed

Change in quantity versus change in price

Effect of an increase in price on total revenue

Effect of a decrease in price on total revenue

Elastic Greater than 1.0

Larger percentage change in quantity

Total revenue decreases

Total revenue increases

Inelastic Less than 1.0 Smaller percentage change in quantity

Total revenue increases

Total revenue decreases

Unitary elastic

Equal to 1.0 Same percentage change in quantity and price

Total revenue does not change

Total revenue does not change

Page 15: Prepared by: Jamal Husein C H A P T E R 3 © 2005 Prentice Hall Business PublishingSurvey of Economics, 2/eO’Sullivan & Sheffrin Elasticity: A Measure of

© 2005 Prentice Hall Business Publishing Survey of Economics, 2/e O’Sullivan & Sheffrin 15

Price Elasticity of SupplyPrice Elasticity of SupplyPrice Elasticity of SupplyPrice Elasticity of Supply

Price elasticity of supplyPrice elasticity of supply is a measure of the responsiveness in quantity supplied to changes in price.

Elasticity of Supply

% Change in quantity supplied% Change in Price

== Es

Page 16: Prepared by: Jamal Husein C H A P T E R 3 © 2005 Prentice Hall Business PublishingSurvey of Economics, 2/eO’Sullivan & Sheffrin Elasticity: A Measure of

© 2005 Prentice Hall Business Publishing Survey of Economics, 2/e O’Sullivan & Sheffrin 16

Computing Price Elasticity of SupplyComputing Price Elasticity of SupplyComputing Price Elasticity of SupplyComputing Price Elasticity of Supply

% Q s

1 2 0 1 0 0

1 0 0

2 0

1 0 02 0 %

%$ 2. $ 2 .

$ 2 .

$ 0.

$ 2 .P

2 0 0 0

0 0

2 0

0 01 0 %

EQ

Pss

%

%.

2 0 %

1 0 %2 0

Elasticity of Supply

% Change in quantity supplied% Change in Price

== Es

Page 17: Prepared by: Jamal Husein C H A P T E R 3 © 2005 Prentice Hall Business PublishingSurvey of Economics, 2/eO’Sullivan & Sheffrin Elasticity: A Measure of

© 2005 Prentice Hall Business Publishing Survey of Economics, 2/e O’Sullivan & Sheffrin 17

Supply Elasticity and TimeSupply Elasticity and TimeSupply Elasticity and TimeSupply Elasticity and Time

Supply becomes more elastic over time.

The increase in quantity supplied as a response to an increase in price is greater when supply is more elastic.

Higher market prices give business firms an incentive to expand production and output. As time goes by, the ability of firms to expand productive capacity is greater, and supply becomes more elastic.

Page 18: Prepared by: Jamal Husein C H A P T E R 3 © 2005 Prentice Hall Business PublishingSurvey of Economics, 2/eO’Sullivan & Sheffrin Elasticity: A Measure of

© 2005 Prentice Hall Business Publishing Survey of Economics, 2/e O’Sullivan & Sheffrin 18

Predicting Price Changes Using Predicting Price Changes Using ElasticitiesElasticitiesPredicting Price Changes Using Predicting Price Changes Using ElasticitiesElasticities The price-change formula can be used to

predict the change in price resulting from a change in demand.

For changes in price resulting from a change in supply:

percentage change in price = percentage change in demand

E Es d

percentage change in price = percentage change in supply

E Es d

Page 19: Prepared by: Jamal Husein C H A P T E R 3 © 2005 Prentice Hall Business PublishingSurvey of Economics, 2/eO’Sullivan & Sheffrin Elasticity: A Measure of

© 2005 Prentice Hall Business Publishing Survey of Economics, 2/e O’Sullivan & Sheffrin 19

Predicting Price Changes Using Predicting Price Changes Using Elasticities: an ExampleElasticities: an ExamplePredicting Price Changes Using Predicting Price Changes Using Elasticities: an ExampleElasticities: an Example

Assume that Ed=1.5 and Es=2.0, a rightward shift in demand by 35%, will increase price by the following percentage:

% P = 3 5 %

2 0 1 5

1 0 %. .

% P = % demand

E Es d