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Elasticity of Demand Chapter 5 Slope of Demand Curves • Demand curves do not all have the same slope • Slope indicates response of buyers to a change in price Which demand curve is most sensitive to price changes? D1 D1 Price 10% D1 => Qty Demanded ? (how much?) ELASTICITY OF DEMAND • Price elasticity of demand: how much quantity demanded of a good responds to a change in price • Responsiveness is measured in percentage terms: Price elasticity of demand = Percentage change in quantity demanded Percentage change in price • • • • Determinants of Elasticity of Demand Availability of Close Substitutes Necessities versus Luxuries Proportion of Income Time Horizon Demand is more elastic: • • • • the larger the number of close substitutes if the good is a luxury Good is a larger percent of budget the longer the time period Price Elastic or Price Inelastic? Gasoline Soda Price Inelastic Price Elastic No real substitutes Many substitutes Heart Surgery Table Salt Price Inelastic Price Inelastic Necessity & No real substitutes, Short time period Small proportion of income, no good substitute Computing Price Elasticity of Demand • Example: – If the price of an ice cream cone increases from $2.00 to $2.20 – The quantity bought falls from 10 to 8 cones: Price elasticity of demand = Percentage change in quantity demanded Percentage change in price (10 8) 100 20% 10 2 (2.20 2.00) 100 10% 2.00 Variety of Demand Curves • Inelastic Demand – Quantity demanded does not respond strongly to price changes. – Price elasticity of demand is less than 1 • Elastic Demand – Quantity demanded responds strongly to changes in price. – Price elasticity of demand is greater than 1 Computing Price Elasticity of Demand (100 50) Price ED $5 4 (4.00 5.00) (100 50)/2 (4.00 5.00)/2 Demand 67 percent 3 22 percent 0 50 100 Quantity Demand is Price Elastic or Greater than 1---(use absolute values) The Variety of Demand Curves • Perfectly Inelastic – Quantity demanded does not respond to price changes • Perfectly Elastic – Quantity demanded changes infinitely with price change • Unit Elastic – Quantity demanded changes by the same percentage as price The Variety of Demand Curves • Price elasticity of demand is closely related to the slope of the demand curve. • But it is not the same thing as the slope! Perfectly Inelastic (a) Perfectly Inelastic Demand: Elasticity Equals 0 Price Demand $5 4 1. An increase in price . . . 0 100 Quantity 2. . . . leaves the quantity demanded unchanged. Perfectly Elastic (e) Perfectly Elastic Demand: Elasticity Equals Infinity Price 1. At any price above $4, quantity demanded is zero. $4 Demand 2. At exactly $4, consumers will buy any quantity. 0 3. At a price below $4, quantity demanded is infinite. Quantity Inelastic Demand (b) Inelastic Demand: Elasticity Is Less Than 1 Price $5 4 1. A 22% increase in price . . . Demand 0 90 100 Quantity 2. . . . leads to an 11% decrease in quantity demanded. Unit Elastic Demand (c) Unit Elastic Demand: Elasticity Equals 1 Price $5 4 Demand 1. A 22% increase in price . . . 0 80 100 Quantity 2. . . . leads to a 22% decrease in quantity demanded. Elastic Demand (d) Elastic Demand: Elasticity Is Greater Than 1 Price $5 4 Demand 1. A 22% increase in price . . . 0 50 100 Quantity 2. . . . leads to a 67% decrease in quantity demanded. Elasticity & Total Revenue Chapter 5 Total Revenue • Total revenue is not profit • It is the total amount of money received by a business • Total Revenue = Price & Quantity Sold TR P Q Coffee Shop: Price coffee: $2/cup Qty Sold: 500 per day Total Revenue = $2 * 500 = $1,000 Profit = TR – all expenses Total Revenue Price When the price is $4, consumers demand 100 units, and spend $400 on this good. $4 P × Q = $400 ( total revenue) P 0 Demand 100 Q Quantity Elasticity and Total Revenue • Inelastic demand curve: in price => a smaller % in Qty demanded = > TR • Elastic demand curve in price => a greater % in Qty demanded = > TR Total Revenue & Inelastic Demand Price An Increase in price from $1 to $3 … Price … leads to an Increase in total revenue from $100 to $240 $3 Total Revenue = $240 $1 Total Revenue = $100 Demand 0 100 Quantity Demand 0 80 Quantity Total Revenue & Elastic Demand Price Price … leads to an decrease in total revenue from $200 to $100 An Increase in price from $4 to $5 … $5 $4 Demand Demand Total Revenue = $200 0 50 Total Revenue = $100 Quantity 0 20 Quantity Note that with each price increase, the Law of Demand still holds – an increase in price leads to a decrease in the quantity demanded. It is the change in TR that varies! Which demand curve is inelastic? D1 D 1 Elastic demand curves tend to flat (horizontal) Inelastic demand curves tend to be steep (vertical) Linear demand curves: 1) Have a constant slope 2) Do not have constant elasticity 3) Have both elastic & inelastic ranges 4) SLOPE is constant------ELASTICITY changes Elasticity of Linear Demand Curves Demand curves have both elastic & inelastic ranges Points with high price & low quantity demand is elastic Points with low price & high quantity demand is inelastic Linear Demand Curve Elasticity Price Price from $4 to $5 => TR from $24 to $20. $7 Elastic Range: Elasticity > 1 6 5 Price from $2 to $3 => TR from $20 to $24 4 3 Inelastic Range: Elasticity < 1 2 1 0 2 4 6 8 10 12 14 Quantity Price increases leads to: Total Revenue rising in inelastic ranges Total Revenue falling in elastic ranges Total Revenue staying constant in unit elastic Income Elasticity of Demand • Income elasticity of demand- how much quantity demanded responds to a change in consumers’ income – EI = % change in Qty Demanded % change in income • • • • Normal Goods have positive Income elasticity Income elastic: EI >1 (considered a luxury) Income inelastic: 1 > EI > 0 (considered a necessity) Inferior Goods: EI < 0 (negative income elasticity) Cross-price elasticity of demand • How much quantity demanded of one good responds to a change in price of another good %change in quantity demanded of good 1 Cross - price elasticity of demand %change in price of good 2 • Substitutes have positive cross-price elasticity Ea,b > 0 • Complements have negative cross-price elasticity Ea,b < 0 Summary • Elastic demand curves are flat • Inelastic demand curves are steep • Slope is constant, Elasticity is not • Linear demand curves have inelastic & elastic ranges • Total Revenue => Prices elastic goods • Firms can maximize total revenue by calculating the elasticity of demand of their product Taxes & Market Equilibrium Chapter 6 How Taxes on Buyers (and Sellers) Affect Market Outcomes • When a good is taxed, the quantity sold is smaller • Buyers and sellers both share the tax burden • Types of Taxes: – Sales Tax: – Excise Tax: tax on most goods taxes on specific goods (ex: cigarettes, gasoline, etc…) • Why tax? – To raise Government Revenue or – To decrease consumption of a good (cigarettes) Elasticity & Tax Incidence • Tax incidence is the study of who bears the burden of a tax • Taxes result in a change in market equilibrium • Buyers pay more & sellers receive less – regardless of whom the tax is levied on Example: Tax on Buyers • Government places a tax on ice cream of .50 cents • Does the tax shift the supply or demand curve? • Supply Curve is not affected – Determinant of supply did not change (TINE & TP) • Demand Curve will shift left – Price of substitute good in effect fell (remember TIPSEN) Tax on Buyers Price of Ice-Cream Price Cone buyers pay $3.30 Price 3.00 2.80 without tax Price sellers receive Supply, S1 Equilibrium without tax Tax ($0.50) New Equilibrium with tax A tax on buyers shifts the demand curve downward by the size of the tax ($0.50). D1 D2 0 90 100 Quantity of Ice-Cream Cones Tax on Sellers Price of Ice-Cream Price Cone buyers pay $3.30 3.00 Price 2.80 without tax S2 Equilibrium with tax S1 Tax ($0.50) A tax on sellers shifts the supply curve upward by the amount of the tax ($0.50). Equilibrium without tax Price sellers receive TINE & TP Demand, D1 Taxes are a Determinant of supply 0 90 100 Quantity of Ice-Cream Cones Elasticity and Tax Incidence • In what proportions is the burden of the tax divided? • How do the effects of taxes on sellers compare to those levied on buyers? • It depends on the elasticity of demand & the elasticity of supply. Supply more elastic than demand (a) Elastic Supply, Inelastic Demand Price 1. When supply is more elastic than demand . . . Price buyers pay Supply Tax 2. . . . the incidence of the tax falls more heavily on consumers . . . Price without tax Price sellers receive 3. . . . than on producers. 0 Demand Quantity Demand more elastic than supply (b) Inelastic Supply, Elastic Demand Price 1. When demand is more elastic than supply . . . Price buyers pay Supply Price without tax 3. . . . than on consumers. Tax Price sellers receive 0 2. . . . the incidence of the tax falls more heavily on producers . . . Demand Quantity So, how is the burden of the tax divided? The burden of a tax falls more heavily on the side of the market that is less elastic. Incidence of Tax Summary • The incidence of a tax does not depend on whether the tax is levied on buyers or sellers • It depends on the price elasticities of supply and demand. • The burden falls on the side of the market that is less elastic Welfare Economics Chapter 7: Consumer Surplus Consumers, Producers & Efficiency of Markets • Market equilibrium reflects the way markets allocate scarce resources • Whether the market allocation is desirable can be addressed by welfare economics • Welfare economics is the study of how the allocation of resources affects economic well-being Welfare Economics • Equilibrium- results in maximum total welfare for consumers & producers • Consumer surplus measures economic welfare from the buyer’s side • Producer surplus measures economic welfare from the seller’s side CONSUMER SURPLUS • Willingness to pay- the maximum amount that a buyer will pay for a good • It measures how much the buyer values the good or service • Consumer surplus- the buyer’s willingness to pay for a good minus the amount the buyer actually pays for it Demand Schedule & the Demand Curve The market demand curve depicts the various quantities that buyers would be willing to purchase at different prices. Consumers value goods differently Demand Curve Price of Album John’s willingness to pay $100 Paul’s willingness to pay 80 George’s willingness to pay 70 Ringo’s willingness to pay 50 Demand 0 1 2 3 4 Quantity of Albums Equilibrium Price = $80 (a) Price = $80 Price of Album John was willing to pay $100 But he only had to pay $80 $100 John’s consumer surplus ($20) 80 John is better off by $20 70 50 Demand 0 1 2 3 4 Quantity of Albums Equilibrium Price = $70 (b) Price = $70 Price of Album $100 John’s consumer surplus ($30) The area below the demand curve & above the price measures the consumer surplus in the market. 80 Paul’s consumer surplus ($10) 70 50 Notice that as price falls, consumer surplus rises Total consumer surplus ($40) Demand 0 1 2 3 4 Quantity of Albums Equilibrium Price & Consumer Surplus (a) Consumer Surplus at Price P Price A This triangle represents the “welfare” of consumers Consumer surplus P1 B C Demand 0 Q1 Quantity Price falls from P1 to P2 (b) Consumer Surplus at Price P Price A As Price falls, area below Demand curve increases, so Consumer Surplus increases Initial consumer surplus P1 P2 0 C B Consumer surplus to new consumers F D E Additional consumer surplus to initial consumers Q1 Demand Q2 Quantity What Does Consumer Surplus Measure? Amount buyers are willing to pay - Amount buyers actually pay = Welfare of Buyers: Consumer Surplus! Total Welfare = Consumer Surplus + Producer Surplus Welfare Economics Part II Chapter 7: Producer Surplus PRODUCER SURPLUS • Producer surplus = the amount a seller is paid for a good minus the seller’s marginal cost • It measures the benefit to sellers participating in a market • Just as consumer surplus is related to the demand curve, producer surplus is related to the supply curve Supply Schedule & Supply Curve Equilibrium Price = $600 (a) Price = $600 Price of House Painting Supply Price Received = $600 Marginal Cost = $500 $900 Producer Surplus = $100 800 600 500 Grandma’s producer surplus ($100) 0 1 2 3 4 Quantity of Houses Painted Equilibrium Price = $800 (b) Price = $800 Price of House Painting $900 Supply Total producer surplus ($500) 800 600 Georgia’s producer surplus ($200) 500 Grandma’s producer surplus ($300) 0 1 2 3 4 Quantity of Houses Painted (a) Producer Surplus at Price P Price Supply The area below price & above supply curve = producer surplus P1 B Producer surplus C A 0 Q1 Quantity (b) Producer Surplus at Price P Price Supply Additional producer surplus to initial producers P2 P1 D As Price Producer Surplus E F B Initial producer surplus C Producer surplus to new producers A 0 Q1 Q2 Quantity EFFICIENCY vs. EQUITY • Efficiency = resource allocation which maximizes the total surplus received by all members of society • Equity = the fairness of the distribution of well-being among the various buyers and sellers – Equity is not addressed in free markets • Free markets naturally (invisible hand) maximize efficiency by maximizing total welfare (consumer surplus + producer surplus) Total Welfare • Consumer Surplus = Value to buyers – Amount paid by buyers • Producer Surplus = Amount received by sellers – Cost to sellers • Total Surplus (welfare) = Consumer Surplus + Producer Surplus • Therefore: • Total Surplus = Value to buyers – Cost to sellers Market Equilibrium Price A = Total Welfare D Supply Consumer surplus Equilibrium price E Producer surplus B Demand C 0 Equilibrium quantity Quantity Evaluating Free Market Equilibrium • Free markets allocate the supply of goods to buyers who value them most highly (willingness to pay) • Free markets allocate the demand for goods to sellers who can produce goods at least cost • Free markets produce the quantity of goods that maximizes the sum of consumer & producer surplus (Total Welfare/Surplus) Efficiency of Equilibrium Quantity Price Supply Value to buyers Cost to sellers Cost to sellers 0 Value to buyers Equilibrium quantity Value to buyers is greater than cost to sellers. Value to buyers is less than cost to sellers. Demand Quantity Worksheet: Lesson 1, Activity 9 • Please complete side 2 of the Consumer/Producer Surplus worksheet Welfare Economics Part II Chapter 7: Producer Surplus PRODUCER SURPLUS • Producer surplus = the amount a seller is paid for a good minus the seller’s marginal cost • It measures the benefit to sellers participating in a market • Just as consumer surplus is related to the demand curve, producer surplus is related to the supply curve Supply Schedule & Supply Curve Equilibrium Price = $600 (a) Price = $600 Price of House Painting Supply Price Received = $600 Marginal Cost = $500 $900 Producer Surplus = $100 800 600 500 Grandma’s producer surplus ($100) 0 1 2 3 4 Quantity of Houses Painted Equilibrium Price = $800 (b) Price = $800 Price of House Painting $900 Supply Total producer surplus ($500) 800 600 Georgia’s producer surplus ($200) 500 Grandma’s producer surplus ($300) 0 1 2 3 4 Quantity of Houses Painted (a) Producer Surplus at Price P Price Supply The area below price & above supply curve = producer surplus P1 B Producer surplus C A 0 Q1 Quantity (b) Producer Surplus at Price P Price Supply Additional producer surplus to initial producers P2 P1 D As Price Producer Surplus E F B Initial producer surplus C Producer surplus to new producers A 0 Q1 Q2 Quantity EFFICIENCY vs. EQUITY • Efficiency = resource allocation which maximizes the total surplus received by all members of society • Equity = the fairness of the distribution of well-being among the various buyers and sellers – Equity is not addressed in free markets • Free markets naturally (invisible hand) maximize efficiency by maximizing total welfare (consumer surplus + producer surplus) Total Welfare • Consumer Surplus = Value to buyers – Amount paid by buyers • Producer Surplus = Amount received by sellers – Cost to sellers • Total Surplus (welfare) = Consumer Surplus + Producer Surplus • Therefore: • Total Surplus = Value to buyers – Cost to sellers Market Equilibrium Price A = Total Welfare D Supply Consumer surplus Equilibrium price E Producer surplus B Demand C 0 Equilibrium quantity Quantity Evaluating Free Market Equilibrium • Free markets allocate the supply of goods to buyers who value them most highly (willingness to pay) • Free markets allocate the demand for goods to sellers who can produce goods at least cost • Free markets produce the quantity of goods that maximizes the sum of consumer & producer surplus (Total Welfare/Surplus) Efficiency of Equilibrium Quantity Price Supply Value to buyers Cost to sellers Cost to sellers 0 Value to buyers Equilibrium quantity Value to buyers is greater than cost to sellers. Value to buyers is less than cost to sellers. Demand Quantity