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1 Describing Supply and Demand: Elasticities 6 6-1 Price Elasticity: Demand Price elasticity of demand is the percentage change in quantity demanded divided by the percentage change in price This tells us exactly how quantity demanded responds to a change in price E D = Elasticity is independent of units % change in Quantity Demanded % change in Price Price elasticity of demand is always expressed as a positive number
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1 Describing Supply and Demand: Elasticities 6 6-2 Price Elasticity: Demand Demand is elastic if the percentage change in quantity is greater than the percentage change in price Elastic demand is when E D > 1 Demand is inelastic if the percentage change in quantity is less than the percentage change in price Inelastic demand is when E D < 1
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1 Describing Supply and Demand: Elasticities 6 6-3 Calculating Elasticities: Price Elasticity of Demand D P Q What is the price elasticity of demand between A and B? $20 10 $26 14 B A E D = %ΔQ%ΔP%ΔQ%ΔP Q 2 –Q 1 ½(Q 2 +Q 1 ) P 2 –P 1 ½(P 2 +P 1 ) = C 12 $23 = 10–14 ½(10+14) 26–20 ½(26+20) -.33.26 = 1.27 =
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1 Describing Supply and Demand: Elasticities 6 6-4 Calculating Elasticities: Price Elasticity of Demand E D = %ΔQ%ΔP%ΔQ%ΔP Q 2 –Q 1 ½(Q 2 +Q 1 ) P 2 –P 1 ½(P 2 +P 1 ) = Compute the approximate elasticity of demand from the following data: Price Quantity Initial situation $23 11.5 New situation $20 13.5
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1 Describing Supply and Demand: Elasticities 6 6-5 Calculating Elasticities: Price Elasticity of Demand E D = %ΔQ%ΔP%ΔQ%ΔP Q 2 –Q 1 ½(Q 2 +Q 1 ) P 2 –P 1 ½(P 2 +P 1 ) =
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1 Describing Supply and Demand: Elasticities 6 6-6 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 elastic, meaning that Q responds enormously to changes in price, E D = ∞ This curve is perfectly inelastic, meaning that Q does not respond at all to changes in price, E D = 0 P Q D D P Q
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1 Describing Supply and Demand: Elasticities 6 6-7 Elasticity Changes Along Straight-Line Curves On straight-line supply and demand curves, slope stays constant, but elasticity changes P Q Elasticity declines along this straight-line demand curve as we move towards the Q axis $2 10 $6 42 $4 $8 $10 68 E D = 0 E D = 1 E D = ∞ E D > 1 E D < 1
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1 Describing Supply and Demand: Elasticities 6 6-8 Elasticity Changes Along Straight-Line Curves On straight-line supply curve, slope stays constant, but elasticity changes P Q If it intersects the vertical axis (S 0 ), elasticity starts at infinity and declines, and eventually approaches 1. If it intersects the horizontal axis (S 1 ), it starts at zero and increases, and eventually approaches 1. $2 10 $6 42 $4 $8 $10 68 S0S0 S1S1 E s = ∞ E s = 0 E s declines E s rises
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1 Describing Supply and Demand: Elasticities 6 6-9 Price Elasticity: Supply Price elasticity of supply is the percentage change in quantity supplied divided by the percentage change in price This tells us exactly how quantity supplied responds to a change in price E S = Elasticity is independent of units % change in Quantity Supplied % change in Price
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1 Describing Supply and Demand: Elasticities 6 6-10 Price Elasticity: Supply Supply is elastic if the percentage change in quantity is greater than the percentage change in price Elastic supply is when E S > 1 Supply is inelastic if the percentage change in quantity is less than the percentage change in price Inelastic supply is when E S < 1
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1 Describing Supply and Demand: Elasticities 6 6-11 Calculating Elasticities: Price Elasticity of Supply P Q What is the price elasticity of supply between A and B? $4.50 476 $5.00 485 B A E S = %ΔQ%ΔP%ΔQ%ΔP Q 2 –Q 1 ½(Q 2 +Q 1 ) P 2 –P 1 ½(P 2 +P 1 ) = = 485–476 ½(485+476) 5–4.50 ½(5+4.50) Midpoint C 480.5 $4.75 0.0187 0.105 = 0.18 = S
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1 Describing Supply and Demand: Elasticities 6 6-12 Substitution and Elasticity 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 What makes supply or demand more or less elastic? Substitution
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1 Describing Supply and Demand: Elasticities 6 6-13 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 2.The degree to which a good is a luxury 3.The market definition 4.The importance of the good in one’s budget
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1 Describing Supply and Demand: Elasticities 6 6-14 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 E D > 1, an increase in price decreases total revenue. (Price and total revenue move in opposite directions.) If E D = 1, an increase in price leaves total revenue unchanged. If E D < 1, an increase in price increases total revenue. (Price and total revenue move in the same direction.)
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1 Describing Supply and Demand: Elasticities 6 6-15 Elasticity and Total Revenue P Q If E D = 1, an increase in price leaves total revenue unchanged $2 10 $6 42 $4 $8 $10 68 TR E = PxQ = areas A+B = $4x6 = $24 E F TR F = PxQ = areas A+C = $6x4 = $24 A C B Demand Application: Unit Elastic Demand E D = 1
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1 Describing Supply and Demand: Elasticities 6 6-16 Elasticity and Total Revenue P Q If E D < 1, an increase in price increases total revenue $2 10 $6 42 $4 $8 $10 68 TR G = PxQ = areas A+B = $1x9 = $9 G H TR H = PxQ = areas A+C = $2x8 = $16 A C B Demand Application: Inelastic Demand E D < 1
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1 Describing Supply and Demand: Elasticities 6 6-17 Elasticity and Total Revenue P Q If E D > 1, an increase in price decreases total revenue $2 10 $6 42 $4 $8 $10 68 TR J = PxQ = areas A+B = $8x2 = $16 J K TR K = PxQ = areas A+C = $9x1 = $9 A C B Demand Application: Elastic Demand E D > 1
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1 Describing Supply and Demand: Elasticities 6 6-18 Relationship Between Elasticity and Total Revenue Price RisePrice Decline Elastic (E D > 1)TR decreasesTR increases Unit Elastic (E D = 1)TR constant Inelastic (E D < 1)TR increasesTR decreases
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1 Describing Supply and Demand: Elasticities 6 6-19 Elasticity of Individual and Market Demand Price discrimination occurs when a firm separates the people with less elastic demand from those with more elastic demand Firms that price discriminate charge more to the individuals with inelastic demand and less to individuals with elastic demand Examples of price discrimination: Airlines pricing The phenomenon of selling new cars The almost-continual-sale phenomenon
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1 Describing Supply and Demand: Elasticities 6 6-20 Income and Cross-Price Elasticity Income elasticity of demand measures the responsiveness of demand to changes in income Normal goods are those whose consumption increases with an increase in income E Income = % change in Demand % change in Income Necessity: 0 1 Luxury: E Income > 1 Inferior goods are those whose consumption decreases with an increase in income, E Income < 0
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1 Describing Supply and Demand: Elasticities 6 6-21 Income and Cross-Price Elasticity Cross–price elasticity of demand measures the responsiveness of demand to changes in prices of other goods Substitutes are goods that can be used in place of another, E cross-price > 0 E cross-price = % change in Demand % change in P of related good Complements are goods that are used conjunction with other goods, E cross-price < 0
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1 Describing Supply and Demand: Elasticities 6 6-22 Elasticity and Shifting Supply and 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. S1S1 D P Q Demand is relatively elastic S0S0 Supply shifts out and caused a greater effect on quantity than on price Q0Q0 Q1Q1 P0P0 P1P1
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1 Describing Supply and Demand: Elasticities 6 6-23 S1S1 D P Q Demand is relatively inelastic S0S0 Supply shifts out and caused a greater effect on price than on quantity P0P0 P1P1 Elasticity and Shifting Supply and Demand Q0Q0 Q1Q1
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