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Elasticity
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Elasticity What do you think?
Could reducing the supply of illegal drugs cause an increase in drug-related burglaries? Chapter 4: Elasticity
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The Effect of Extra Border Patrols on the Market for Illicit Drugs
80 40 S’ Total Expenditure = P x Q S $ = $50 x 50 S’ $ = $80 x 40 50 S D P($/ounce) Q(1,000s of ounces/day) Chapter 4: Elasticity
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Price Elasticity of Demand
A measure of the extent to which quantity demanded and quantity supplied respond to variations in price, income, and other factors. Chapter 4: Elasticity
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Price Elasticity of Demand
Defined Generally A measure of the responsiveness of the quantity demanded of a good to a change in the price of that good Formally The percentage change in the quantity demanded that results from a 1 percent change in its price Chapter 4: Elasticity
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Price Elasticity of Demand
Measuring Price Elasticity of Demand Chapter 4: Elasticity
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Price Elasticity of Demand
Assume The price of pork falls by 2% and the quantity demanded increases by 6% Then the price elasticity of demand for pork is Chapter 4: Elasticity
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Price Elasticity of Demand
Measuring Price Elasticity of Demand Observations Price elasticity of demand will always be negative (i.e., an inverse relationship between price and quantity) For convenience we drop the negative sign Chapter 4: Elasticity
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Price Elasticity of Demand
Measuring Price Elasticity of Demand When is > 1: elastic < 1: inelastic = 1: unit elastic Chapter 4: Elasticity
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Elastic and Inelastic Demand
Unit elastic Elastic Price elasticity of demand 1 2 3 Chapter 4: Elasticity
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Price Elasticity of Demand
What is the elasticity of demand for pizza? Originally Price = $1/slice Quantity demanded = 400 slices/day New Price = $0.97/slice Quantity demanded = 404 slices/day, then Chapter 4: Elasticity
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Price Elasticity of Demand
What is the elasticity of season ski passes? Originally Price = $400 Quantity demanded = 10,000 passes/year New Price = $380 Quantity demanded = 12,000 passes/year, then Chapter 4: Elasticity
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Price Elasticity of Demand
Determinants of Price Elasticity of Demand Substitution possibilities Budget share Time Chapter 4: Elasticity
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Price Elasticity Estimates for Selected Products
Good or service Price elasticity Green peas 2.80 Restaurant meals 1.63 Automobiles 1.35 Electricity 1.20 Beer 1.19 Movies 0.87 Air travel (foreign) 0.77 Shoes 0.70 Coffee 0.25 Theater, opera 0.18 Chapter 4: Elasticity
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Price Elasticity of Demand
What do you think? Why is the price elasticity of demand more than 14 times larger for green peas than for theater and opera performances? Chapter 4: Elasticity
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Price Elasticity of Demand
Economic Naturalist Will higher taxes on cigarettes curb teenage smoking? Why was the luxury tax on yachts such a disaster? Chapter 4: Elasticity
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A Graphical Interpretation of Price Elasticity
For small changes in price Where Q is the original quantity and P is the original price Chapter 4: Elasticity
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A Graphical Interpretation of Price Elasticity of Demand
Q P Price P P Q Q Q Quantity Chapter 4: Elasticity
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A Graphical Interpretation of Price Elasticity
Example Originally Price (P) = $100 Quantity (Q) = 20 New Price (P) = $105 Quantity (Q) = 15 Chapter 4: Elasticity
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Calculating Price Elasticity of Demand
20 D A 16 12 Price 8 4 1 2 3 4 5 Quantity Chapter 4: Elasticity
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Calculating Price Elasticity of Demand
20 D A Question What is the price elasticity of demand when P = $4? 16 12 Price 8 4 1 2 3 4 5 Quantity Chapter 4: Elasticity
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Price Elasticity and the Steepness of the Demand Curve
What is the price elasticity of Demand for D1 & D2 when P = $4? D1 D2 12 4 6 Price Quantity Chapter 4: Elasticity
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Price Elasticity and the Steepness of the Demand Curve
12 D1 D2 4 6 10 1 For D2 when P = $1 Price Quantity Chapter 4: Elasticity
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Price Elasticity and the Steepness of the Demand Curve
12 Quantity Price D1 D2 4 6 10 1 Observation If two demand curves have a point in common, the steeper curve must be less elastic with respect to price at that point Chapter 4: Elasticity
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Price Elasticity Regions along a Straight-Line Demand Curve
Observation Price elasticity varies at every point along a straight-line demand curve b/2 a/2 a b Price Quantity Chapter 4: Elasticity
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Perfectly Elastic Demand Curve
Quantity Price Chapter 4: Elasticity
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Perfectly Inelastic Demand Curve
Quantity Price Chapter 4: Elasticity
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Elasticity and Total Expenditure
Total Expenditure = P x Q Market demand measures the quantity (Q) at each price (P) Total Expenditure = Total Revenue Chapter 4: Elasticity
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The Demand Curve for Movie Tickets
12 D 10 A Total Expenditure = $1,000/day 8 6 Price ($/ticket) 4 2 1 2 3 4 5 6 Quantity (100s of tickets/day) Chapter 4: Elasticity
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The Demand Curve for Movie Tickets
12 D 10 B Total Expenditure = $1,600/day 8 6 Price ($/ticket) 4 2 1 2 3 4 5 6 Quantity (100s of tickets/day) Chapter 4: Elasticity
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Elasticity and Total Expenditure
What do you think? Will increasing the market price always increase total revenue? Chapter 4: Elasticity
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The Demand Curve for Movie Tickets
Total Expenditure = $1,600/day 12 D 10 8 6 Price ($/ticket) 4 2 1 2 3 4 5 6 Quantity (100s of tickets/day) Chapter 4: Elasticity
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The Demand Curve for Movie Tickets
12 Total Expenditure = $1,000/day D 10 8 6 Price ($/ticket) 4 2 1 2 3 4 5 6 Quantity (100s of tickets/day) Chapter 4: Elasticity
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Elasticity and Total Expenditure
General Rule A price increase will increase total revenue when the % change in P is greater than the % change in Q. Chapter 4: Elasticity
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The Demand Curve for Movie Tickets
12 Quantity (100s of tickets/day) Price ($/ticket) 1 3 4 5 6 10 8 2 Chapter 4: Elasticity
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Total Expenditure as a Function of Price
Price ($/ticket) Total expenditure ($/day) 12 0 10 1,000 8 1,600 6 1,800 4 1,600 2 1,000 0 0 Chapter 4: Elasticity
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Total Expenditure as a Function of Price
Total revenue is at a maximum at the midpoint on a straight-line demand curve 12 Quantity (100s of tickets/day) Price ($/ticket) 1 3 4 5 6 10 8 2 1,800 Price ($/ticket) Total expenditure ($/day) 2 6 8 10 12 1,600 1,000 4 Chapter 4: Elasticity
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Elasticity and Total Expenditure
What do you think? Should a rock band raise or lower its price to increase total revenue? Assume Chapter 4: Elasticity
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Elasticity and Total Expenditure
What do you think? Should a rock band raise or lower its price to increase total revenue? Then Total revenue = $20 x 5,000 = $100,000/week If P is increased 10%, Q will decrease 30% Total revenue = $22 x 3,500 = $77,000/week If P is lowered 10%, Q will increase 30% Total revenue = $18 x 6,500 = $177,000/week 7 Chapter 4: Elasticity
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Elasticity and Total Expenditure
Rule When price elasticity is greater than 1, changes in price and changes in total expenditures always move in opposite directions. When price elasticity is less than 1, changes in price and changes in total expenditures always move in the same direction. 7 Chapter 4: Elasticity
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Elasticity and the Effect of a Price Change on Total Expenditure
7 Chapter 4: Elasticity
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Elasticity and Total Expenditure
Cross-Price Elasticity of Demand The percentage by which quantity demanded of the first good changes in response to a 1 percent change in the price of the second good 7 Chapter 4: Elasticity
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Elasticity and Total Expenditure
Cross-Price Elasticity of Demand Substitute Goods When the cross-price elasticity of demand is positive Complement Goods When the cross-price elasticity of demand is negative 7 Chapter 4: Elasticity
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Elasticity and Total Expenditure
Income Elasticity of Demand The percentage by which quantity demanded changes in response to a 1 percent change in income 7 Chapter 4: Elasticity
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Elasticity and Total Expenditure
Income Elasticity of Demand Normal Goods Income elasticity is positive Inferior Goods Income elasticity is negative 7 Chapter 4: Elasticity
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The Price Elasticity of Supply
The percentage change in the quantity supplied that occurs in response to a 1 percent change in price Chapter 4: Elasticity
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A Supply Curve for Which Price Elasticity Declines as Quantity Rises
2 8 A 4 S 3 10 B Price Quantity Chapter 4: Elasticity
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Calculating the Price Elasticity of Supply Graphically
12 4 A S 15 5 B P Q Price Quantity Chapter 4: Elasticity
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The Price Elasticity of Supply
Observation The price elasticity of supply will always equal 1 at any point along a straight-line supply curve that passes through the origin. Chapter 4: Elasticity
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A Perfectly Inelastic Supply Curve
What is the price elasticity of supply of land within the borough limits of Manhattan? S Elasticity = 0 at every point along a vertical supply curve Price ($/acre) Quantity of land in Manhattan (1,000s of acres) Chapter 4: Elasticity
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A Perfectly Elastic Supply Curve
What is the price elasticity of supply of lemonade? S If MC is constant, then the price elasticity of supply at every point along a horizontal supply curve is infinite Price (cents/cup) 14 Quantity of lemonade (cups/day) Chapter 4: Elasticity
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The Price Elasticity of Supply
Determinants of Supply Elasticity Flexibility of inputs Mobility of inputs Ability to produce substitute inputs Time Chapter 4: Elasticity
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The Price Elasticity of Supply
Economic Naturalist Why are gasoline prices so much more volatile than car prices? Differences in markets Demand for gasoline is more inelastic Gasoline market has larger and more frequent supply shifts Chapter 4: Elasticity
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Greater Volatility in Gasoline Prices than in Car Prices
6 1.69 S’ D Gasoline 1.02 7.2 S Price ($/gallon) Quantity (millions of gallons/day) Chapter 4: Elasticity
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Greater Volatility in Gasoline Prices than in Car Prices
Cars D 17 S’ 11 16.4 12 S Price ($1,000s/car) Quantity (1,000s of cars/day) Cars Chapter 4: Elasticity
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The Price Elasticity of Supply
What do you think? How would elasticity of supply and fluctuating demand impact price volatility? Chapter 4: Elasticity
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The Price Elasticity of Supply
Unique and Essential Inputs: The Ultimate Supply Bottleneck Why does Shaquille O’Neal get paid over $120 million over a seven-year contract? Chapter 4: Elasticity
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End of Chapter
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