Because learning changes everything. ® CHAPTER 6 Describing Supply and Demand: Elasticities Eleventh Edition © 2020 McGraw Hill. All rights reserved. Authorized only for instructor use in the classroom. No reproduction or further distribution permitted without the prior written consent of McGraw Hill. Chapter Goals Use elasticity to describe the responsiveness of quantities to changes in price and distinguish five elasticity terms. Explain the importance of substitution in determining elasticity of supply and demand. Relate price elasticity of demand to total revenue. Define and calculate income elasticity and cross-price elasticity of demand. Explain how the concept of elasticity makes supply and demand analysis more useful. © McGraw Hill 2 Price Elasticity of Demand an increase in supply brings A large fall in price A small increase in the quantity © McGraw Hill demanded 3 Price Elasticity of Demand an increase in supply brings A small fall in price A large increase in the quantity demanded © McGraw Hill 4 Price Elasticity of Demand The contrast between the outcomes price changes, highlights the need for a measure of the responsiveness of the quantity demanded to a price change. The price elasticity of demand is a units-free measure of the responsiveness of the quantity demanded of a good to a change in its price when all other influences on buying plans remain the same. © McGraw Hill 5 Price Elasticity: Demand 1 Price elasticity of demand is the percentage change in quantity demanded divided by the percentage change in price. % change in Quantity Demanded ED = % change in Price This tells us exactly how quantity demanded responds to a change in price. Elasticity is independent of units. Price elasticity of demand is always expressed as a positive number. © McGraw Hill 6 Price Elasticity: Demand 2 Demand is elastic if the percentage change in quantity is greater than the percentage change in price. Elastic demand is when ED > 1. Demand is inelastic if the percentage change in quantity is less than the percentage change in price. Inelastic demand is when ED < 1. © McGraw Hill 7 Calculating Elasticities: Price Elasticity of Demand What is the price elasticity of demand between A and B? Point Price Quantity Demanded A $20 14 B $26 10 Q2 Q1 %Q 1 2 (Q2 Q1 ) ED P2 P1 %P 1 2 (P2 P1 ) 10 14 1 (10 14) .33 2 1.27 26 20 .26 1 (26 20) 2 Access the text alternative for slide images. © McGraw Hill 8 Price Elasticity of Demand Rearranging the formula: %Q / %P = Pavg Q / Qavg P (P1+P2)/2 x (Q2-Q1) (Q1+Q2)/2 x (P2-P1) OR Q2 Q1 %Q 1 2 (Q2 Q1 ) ED P2 P1 %P 1 2 (P2 P1 ) © McGraw Hill 9 Elasticity Is Not the Same as Slope Elasticity is not the same as slope, but, the steeper a curve is at a given point, the less elastic demand or supply. This curve is perfectly inelastic, meaning that Q does not respond at all to changes in price, ED = 0. This curve is perfectly elastic, meaning that Q responds enormously to changes in price, ED = ∞. Access the text alternative for slide images. © McGraw Hill 10 Elasticity Changes Along Straight-Line Curves 1 On straight-line supply and demand curves, slope stays constant, but elasticity changes. Elasticity declines along this straightline demand curve as we move towards the Q axis. Access the text alternative for slide images. © McGraw Hill 11 Five Terms to Describe Elasticity Five elasticity terms are: 1. Perfectly elastic (E = ∞). 2. Elastic (E > 1). 3. Unit elastic (E = 1). 4. Inelastic (E < 1). 5. Perfectly inelastic (E = 0). © McGraw Hill 12 Substitution and Elasticity What makes supply or demand more or less elastic? Substitution The most important determinant of price elasticity is the number of substitutes for the good. A general rule is: The more substitutes a good has, the more elastic its supply or demand. If a good has substitutes, a rise in the price of that good will cause the consumer to shift consumption to those substitute goods. © McGraw Hill 13 Substitution and Demand The number of substitutes a good has is affected by several factors. Four of the most important factors: 1.The time period being considered. The more time consumers have to adjust to a price change, or the longer that a good can be stored without losing its value, the more elastic is the demand for that good 2.The degree to which a good is a luxury. Necessities, such as food or housing, generally have inelastic demand. Luxuries, such as exotic vacations, generally have elastic demand. © McGraw Hill 14 Substitution and Demand 3.The market definition. If the definition of the good is broad, there are few substitutes and demand is inelastic. When definition becomes more specific, there are more substitutes and demand becomes more elastic. 4. The importance of the good in one’s budget. The greater the proportion of income consumers spend on a good, the larger is the elasticity of demand for that good © McGraw Hill 15 Elasticity, Total Revenue, and Demand The elasticity of demand tells suppliers how their total revenue will change if their price changes. Total revenue is price multiplied by quantity: TR = (P)(Q) • If ED > 1, an increase in price decreases total revenue. (Price and total revenue move in opposite directions.) • If ED = 1, an increase in price leaves total revenue unchanged. • If ED < 1, an increase in price increases total revenue.(like price of fuel ) (Price and total revenue move in the same direction.) © McGraw Hill 16 Relationship between elasticity and total revenue © McGraw Hill 17 Example link https://www.extension.iastate.edu/agdm/wholefarm/html/c5-207.html https://www.youtube.com/watch?v=Wj8ooMI2iP4 © McGraw Hill 18 Application: Unit Elastic Demand TRE = P × Q = areas A + B = $4 × 6 = $24 TRF = P × Q = areas A + C = $6 × 4 = $24 If ED = 1, an increase in price leaves total revenue unchanged. Access the text alternative for slide images. © McGraw Hill 19 Application: Inelastic Demand (like fuel ) TRG = P × Q = areas A + B = $1 × 9 = $9 TRH = P × Q = areas A + C = $2 × 8 = $16 If ED < 1, an increase in price increases total revenue. Access the text alternative for slide images. © McGraw Hill 20 Application: Elastic Demand( like meat) TRJ = P × Q = areas A + B = $8 × 2 = $16 TRK = P × Q = areas A + C = $9 × 1 = $9 If ED > 1, an increase in price decreases total revenue. Access the text alternative for slide images. © McGraw Hill 21 Relationship Between Elasticity and Total Revenue Price Rise Price Decline Elastic (ED > 1) TR decreases TR increases Unit Elastic (ED = 1) TR constant TR constant Inelastic (ED < 1) TR increases TR decreases © McGraw Hill 22 Elasticity Changes Along Straight-Line Curves 2 On straight-line supply curve, slope stays constant, but elasticity changes. If it intersects the vertical axis (S0), elasticity starts at infinity and declines, and eventually approaches 1. If it intersects the horizontal axis (S1), it starts at zero and increases, and eventually approaches 1. Access the text alternative for slide images. © McGraw Hill 23 Price Elasticity: Supply 1 Price elasticity of supply is the percentage change in quantity supplied divided by the percentage change in price. % change in Quantity Supplied ES = % change in Price This tells us exactly how quantity supplied responds to a change in price. Elasticity is independent of units. © McGraw Hill 24 Price Elasticity: Supply 2 Supply is elastic if the percentage change in quantity is greater than the percentage change in price. Elastic supply is when ES > 1. Supply is inelastic if the percentage change in quantity is less than the percentage change in price. Inelastic supply is when ES < 1. © McGraw Hill 25 Calculating Elasticities: Price Elasticity of Supply What is the price elasticity of supply between A and B? Point Price Quantity Supplied A $4.50 476 B $5.00 485 Q 2 Q1 %Q 1/ 2 Q 2 Q1 Es P2 P1 %P 1/ 2 P2 P1 485 476 1/ 2 485 476 0.0187 = 0.18 5 4.50 0.105 1/ 2 5 4.50 Access the text alternative for slide images. © McGraw Hill 26 Price Elasticity of Supply Rearranging the formula: %Q / %P = Pavg Q / Qavg P (P1+P2)/2 x (Q2-Q1) (Q1+Q2)/2 x (P2-P1) © McGraw Hill 27 Income and Cross-Price Elasticity 1 Income elasticity of demand measures the responsiveness of demand to changes in income. % change in Demand EIncome = % change in Income Normal goods are those whose consumption increases with an increase in income. Necessity: 0 < EIncome > 1 Luxury: EIncome > 1 Inferior goods are those whose consumption decreases with an increase in income, EIncome < 0. © McGraw Hill 28 Income and Cross-Price Elasticity 2 Cross–price elasticity of demand measures the responsiveness of demand to changes in prices of other goods. Ecross-price % change in Demand % change in P of related good E QaPb= © McGraw Hill (P1+P2)/2 x (Q2-Q1) (Q1+Q2)/2 x (P2-P1) 29 Cross Price Elasticity of Demand Substitutes are goods that can be used in place of another, Ecrossprice > 0. Complements are goods that are used conjunction with other goods, Ecross-price < 0.(sugar and coffee) © McGraw Hill 30 Shifting Supply and Elastic Demand The more elastic the demand (supply), the greater the effect of a supply (demand) shift on quantity and the smaller the effect on price. Demand is relatively elastic. Supply shifts out and caused a greater effect on quantity than on price. Access the text alternative for slide images. © McGraw Hill 31 Shifting Supply and Inelastic Demand Demand is relatively inelastic. Supply shifts out and caused a greater effect on price than on quantity. Access the text alternative for slide images. © McGraw Hill 32 Elasticity of Supply When demand increases, is the change in the quantity supplied small or large? In Figure an increase in demand brings A large rise in price A small increase in the quantity supplied © McGraw Hill 33 Elasticity of Supply More Elastic supply: In Figure an increase in demand brings A small rise in price A large increase in the quantity supplied © McGraw Hill 34 Chapter Summary 1 Elasticity is percentage change in quantity divided by percentage change in some variable that affects demand (supply). The most common elasticity is price. Percentage change in quantity demanded Ed = Percentage change in price Percentage change in quantity supplied Es = Percentage change in price Elasticity is a better descriptor than is slope because it is independent of units of measurement. To calculate percentage changes in prices and quantities, use the average of the end values. © McGraw Hill 35 Chapter Summary 2 Five elasticity terms are elastic (E>1); inelastic (E<1); unit elastic (E=1); perfectly inelastic (E=0) ; and perfectly elastic (E=∞). The more substitutes a good has, the greater its elasticity. Demand becomes less elastic as we move down along a demand curve. The most important factor affecting the number of substitutes in supply is time. The longer the time interval, the more elastic is supply. © McGraw Hill 36 Chapter Summary 3 Factors affecting the number of substitutes in demand are: time period, degree to which the good is a luxury, market definition, importance of the good in one’s budget. When a supplier raises price, if demand is inelastic, total revenue increases; if demand is elastic, total revenue decreases; if demand is unit elastic, total revenue remains constant. © McGraw Hill 37 Chapter Summary 4 Other important elasticity concepts are income elasticity and cross-price elasticity of demand. Income elasticity of demand is the percentage change in demand/percentage change in income. Cross-price elasticity of demand is the percentage change in demand/percentage change in price of a related good. The more elastic the demand/supply, the greater the effect of a shift on quantity and the smaller the effect on price. © McGraw Hill 38