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Chapter 5 Price Elasticity of Demand
Lecture Slides Survey of Economics Irvin B. Tucker © 2016 south-Western, a part of Cengage Learning
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What will I learn in this chapter?
How to calculate price elasticity of demand and how this relates to total revenue (sales) © 2016 south-Western, a part of Cengage Learning 2
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What is price elasticity of demand?
The responsiveness, or sensitivity, to a change in price © 2016 south-Western, a part of Cengage Learning
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What is the definition of price elasticity of demand?
The ratio of the percentage change in the quantity demanded of a product to a percentage change in its price © 2016 south-Western, a part of Cengage Learning
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Price Elasticity of Demand
% in Q demanded % in price Ed = © 2016 south-Western, a part of Cengage Learning
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Suppose a university’s enrollment drops by 20% because tuition rises by 10%, what is the price elasticity of demand? © 2016 south-Western, a part of Cengage Learning
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-20% +10% -.20 +.10 Ed = = = 2 © 2016 south-Western, a part of Cengage Learning
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Why is elasticity 2 in the previous example and not -2?
Because we know from the law of demand that quantity demanded and price are inversely related © 2016 south-Western, a part of Cengage Learning
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Problem - When we move along a demand curve between two points, we get different answers to elasticity depending on whether we are moving up or down the demand curve © 2016 south-Western, a part of Cengage Learning
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How is the percent increase or decrease of two numbers calculated?
Percent change is the difference between the two numbers divided by the original number © 2016 south-Western, a part of Cengage Learning
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B D Q 3 5 11 © 2016 south-Western, a part of Cengage Learning
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If there is a decrease in quantity demanded of 5 units at point B to 3 units at point A on a demand curve, what is the percentage decrease? (5-3)/5 = 2/5 = 40% © 2016 south-Western, a part of Cengage Learning
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B D Q 3 5 © 2016 south-Western, a part of Cengage Learning
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© 2016 south-Western, a part of Cengage Learning
If there is an increase from a quantity demanded of 3 units at point A on a demand curve to 5 units, what is the percentage increase? (5-3)/3=2/3 = 66% © 2016 south-Western, a part of Cengage Learning
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Economists can solve this problem of different base points by using the midpoints as the base points of changes in prices and quantity demanded © 2016 south-Western, a part of Cengage Learning
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Price elasticity equals the in quantity demanded sum of quantities/2 divided by in price sum of prices/2 © 2016 south-Western, a part of Cengage Learning
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© 2016 south-Western, a part of Cengage Learning
Using the midpoints formula, how can price elasticity of demand be calculated? Q2 – Q1 Q1 + Q2 %Q %P Ed = = P2 – P1 P1 + P2 © 2016 south-Western, a part of Cengage Learning
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What is elastic demand? A condition in which the percentage change in quantity demanded is greater than the percentage change in price © 2016 south-Western, a part of Cengage Learning
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Increase in total revenue Decrease in total revenue
Elastic Demand Increase in total revenue Decrease in total revenue Price decrease Price increase © 2016 south-Western, a part of Cengage Learning
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Exhibit 5-1(a) Elastic Demand (Ed > 1)
40 A 30 B Price per Ticket (dollars) 20 Demand curve 10 10 20 30 40 Quantity of Tickets per Concert (thousands) 20 © 2016 south-Western, a part of Cengage Learning
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Why is the demand curve in the previous slide elastic?
See the price elasticity of demand calculation in the following slide: © 2016 south-Western, a part of Cengage Learning
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40 % change in Q = .50 = 10 50 % change in P = = .20 % change in Q % change in P .50 .20 Ed = = Ed = 2.50, which is > 1 © 2016 south-Western, a part of Cengage Learning
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What is inelastic demand?
The percentage change in the quantity demanded is less than the percentage change in price © 2016 south-Western, a part of Cengage Learning
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Inelastic Demand Decrease in total revenue Increase in total revenue
Price increase Price decrease © 2016 south-Western, a part of Cengage Learning
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Exhibit 5-1(b) Inelastic Demand (Ed < 1)
40 C 30 Price per Ticket (dollars) D 20 Demand curve 10 10 20 30 40 © 2016 south-Western, a part of Cengage Learning Quantity of Tickets per Concert (thousands)
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Why is the demand curve in the previous slide inelastic?
See the price elasticity of demand calculation in the next slide: © 2016 south-Western, a part of Cengage Learning
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© 2016 south-Western, a part of Cengage Learning
5 45 % change in Q = = .11 10 50 % change in P = .20 = % change in Q % change in P .11 .20 Ed = = = 0.55, which is < 1 © 2016 south-Western, a part of Cengage Learning
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What is a unitary elastic demand curve?
The percentage change in the quantity demanded is equal to the percentage change in price © 2016 south-Western, a part of Cengage Learning
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Unitary Elastic Demand No change in total revenue
Price increase Price decrease © 2016 south-Western, a part of Cengage Learning
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Exhibit 5-1(c) Unitary Elastic Demand (Ed = 1)
40 E 30 Price per Ticket (dollars) F 20 Demand curve 10 10 20 30 40 © 2016 south-Western, a part of Cengage Learning Quantity of Tickets per Concert (thousands)
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Why is the demand curve in the previous slide unitary elastic?
See the price elasticity of demand calculation in the next slide: © 2016 south-Western, a part of Cengage Learning
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© 2016 south-Western, a part of Cengage Learning
10 50 % change in Q = = .20 10 50 % change in P = .20 = % change in Q % change in P .20 Ed = = Ed = 1 © 2016 south-Western, a part of Cengage Learning
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What is a perfectly elastic demand curve?
An extreme condition in which a small percentage change in price brings about an infinite percentage change in the quantity demanded © 2016 south-Western, a part of Cengage Learning
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Infinite change in quantity demanded
Perfectly Elastic Demand Infinite change in quantity demanded Price change © 2016 south-Western, a part of Cengage Learning
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Price per Ticket (dollars) Quantity of Tickets per Concert (thousands)
Exhibit 5-2(a) Perfectly Elastic Demand (Ed=∞) 40 30 Demand Price per Ticket (dollars) 20 10 10 20 30 40 Quantity of Tickets per Concert (thousands) © 2016 south-Western, a part of Cengage Learning
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Why is the demand curve in the previous slide perfectly elastic ?
At a price of $20, buyers will purchase an infinite quantity. But at any other price, they will purchase zero. Therefore, the change in quantity demanded is infinite and Ed =∞. © 2016 south-Western, a part of Cengage Learning
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What is a perfectly inelastic demand curve?
Another extreme condition in which the quantity demanded does not change as the price changes. © 2016 south-Western, a part of Cengage Learning
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Perfectly Inelastic Demand Zero change in quantity demanded
Price change © 2016 south-Western, a part of Cengage Learning
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Exhibit 5-2(b) Perfectly Inelastic Demand Ed = 0
40 30 Price per Ticket (dollars) 20 10 10 20 30 40 Quantity of Tickets per Concert (thousands) © 2016 south-Western, a part of Cengage Learning
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Why is the demand curve in the previous slide perfectly inelastic ?
Regardless of the percentage change in ticket price, buyers will purchase a quantity demanded of 20,000. Therefore, Ed =0. © 2016 south-Western, a part of Cengage Learning
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5.3 © 2016 south-Western, a part of Cengage Learning
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If a college raises tuition, what happens to total revenue?
If demand is elastic - total revenue decreases If demand is unitary elastic – total revenue is constant If demand is inelastic - total revenue increases © 2016 south-Western, a part of Cengage Learning
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If price increases and the revenue gained is less than the revenue lost, the demand curve is price elastic > 1 © 2016 south-Western, a part of Cengage Learning
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© 2016 south-Western, a part of Cengage Learning
If total revenue does not change when price increases, the demand curve is unitary elastic =1 © 2016 south-Western, a part of Cengage Learning
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© 2016 south-Western, a part of Cengage Learning
If price increases and the revenue gained is greater than the revenue lost, the demand curve is price inelastic < 1 © 2016 south-Western, a part of Cengage Learning
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Does price elasticity of demand vary along a demand curve?
Yes. The price elasticity of demand coefficient of demand applies only to a specific range of prices along the demand curve. © 2016 south-Western, a part of Cengage Learning
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Elastic Inelastic Unitary elastic
Exhibit 5-4(a) Price Elasticity of Demand Ranges 40 (Ed >1) 35 Elastic 30 25 Price per Ticket (dollars) 20 Inelastic (Ed <1) 15 Unitary elastic (Ed =1) 10 5 Demand 5 10 15 20 25 30 35 40 45 Quantity of Tickets per Concert (thousands) 48 © 2016 south-Western, a part of Cengage Learning
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TR Elastic Inelastic Unitary Elastic 50 5 10 15 20 25 30 35 40 45 400
Exhibit 5-4(b) Total Revenue Curve 400 (Ed >1) 350 Elastic (Ed <1) 300 Inelastic 250 Price per Ticket (thousands of dollars) 200 Unitary Elastic (Ed =1) TR 150 100 50 5 10 15 20 25 30 35 40 45 Quantity of Tickets per Concert (thousands) 49 © 2016 south-Western, a part of Cengage Learning
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.5 © 2016 south-Western, a part of Cengage Learning
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What factors influence demand elasticity?
Availability of substitutes Share of budget on the product Adjustment to a price change over time © 2016 south-Western, a part of Cengage Learning
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What do substitutes have to do with a price change?
The more substitutes a product has, the more sensitive consumers are to a price change, and the more elastic the demand curve © 2016 south-Western, a part of Cengage Learning
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What conclusion can we make concerning substitutes?
The price elasticity of demand is directly related to the availability of good substitutes for a product © 2016 south-Western, a part of Cengage Learning
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B D D Which demand curve is for a vital medicine and which is for candy? © 2016 south-Western, a part of Cengage Learning
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Why does curve A represent he demand curve for medicine?
Because medicine is a necessity with few substitutes, and the price can change with little effect on the quantity demanded © 2016 south-Western, a part of Cengage Learning
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Why does curve B represent the demand curve for candy?
Because candy has many substitutes, a price change can bring about a big change in the quantity demanded © 2016 south-Western, a part of Cengage Learning
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What does the share of one’s budget have to do with a price change?
The larger the purchase is to one’s budget, the more sensitive consumers are to a price change, and the more elastic the demand curve © 2016 south-Western, a part of Cengage Learning
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What does time have to do with sensitivity?
The longer consumers have to adjust, the more sensitive they are to a price change, and the more elastic the demand curve © 2016 south-Western, a part of Cengage Learning
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5.6 © 2016 south-Western, a part of Cengage Learning
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What conclusion can we make?
In general, the price elasticity coefficient of demand is higher the longer a price change persists © 2016 south-Western, a part of Cengage Learning
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END © 2016 south-Western, a part of Cengage Learning
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