Elasticity and Its Application

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Elasticity and Its Application Chapter 5 Elasticity... is a measure of how much buyers and sellers respond to changes in market conditions allows us to analyze supply and demand with greater precision. Journal Question-Name 3 necessities and 3 luxuries that you would buy. Elasticity of elasticity of demand is the percentage change in quantity demanded given a percent change in the price. It is a measure of how much the quantity demanded of a good responds to a change in the price of that good. 1

Computing the Elasticity of The price elasticity of demand is computed as the percentage change in the quantity demanded divided by the percentage change in price. Elasticity = Of Percentage Change in Qd Percentage Change in Elasticity, Percentage Change and Slope Because the price elasticity of demand measures how much quantity demanded responds to the price, it is closely related to the slope of the demand curve. But instead of looking at unit change, elasticity looks at percentage change. What do we mean by percentage change? Brief Assessment on Percentages If there are 50 tomatoes in a store and you picked 16 of them, what percentage of the total did you pick? Paul used to weigh 200 lbs last year, but now he only weighs 175 lbs. How many lbs did he lose? What is the percent change of the loss? What is the average of 300 and 330? What is the midpoint? 2

Computing the Elasticity of elasticity of demand = Percentage change in quatity demanded Percentage change in price Example: If the price of an ice cream cone increases from $2.00 to $2.20 and the amount you buy falls from 10 to 8 cones then your elasticity of demand would be calculated as: ( 10 " 8)! 100 10 20 percent = = 2 ( 2. 20 " 2. 00)! 100 10 percent 2. 00 Computing the Elasticity of Using the Midpoint Formula The midpoint formula is preferable when calculating the price elasticity of demand because it gives the same answer regardless of the direction of the change. Computing the Elasticity of Example: If the price of an ice cream cone increases from $2.00 to $2.20 and the amount you buy falls from 10 to 8 cones the your elasticity of demand, using the midpoint formula, would be calculated as: (10! 8) (10 + 8) / 2 = (2.20! 2.00) (2.00 + 2.20) / 2 22 9.5 percent percent = 2.32 3

Ranges of Elasticity Inelastic Percentage change in price is greater than percentage change in quantity demand. elasticity of demand is less than one. Elastic Percentage change in quantity demand is greater than percentage change in price. elasticity of demand is greater than one. Perfectly Inelastic - Elasticity equals 0 1. An $5 increase in price... 4 100 2....leaves the quantity demanded unchanged. Inelastic - Elasticity is less than 1 1. A 25% $5 increase in price... 4 90 100 2....leads to a 10% decrease in quantity. 4

Unit Elastic - Elasticity equals 1 1. A 25% $5 increase in price... 4 75 100 2....leads to a 25% decrease in quantity. Elastic - Elasticity is greater than 1 1. A 25% $5 increase in price... 4 50 100 2....leads to a 50% decrease in quantity. Perfectly Elastic - Elasticity equals infinity $4 1. At any price above $4, quantity demanded is zero. 2. At exactly $4, consumers will buy any quantity. 3. At a price below $4, quantity demanded is infinite. 5

Determinants of Elasticity of Necessities versus Luxuries Availability of Close Substitutes Definition of the Market Time Horizon Determinants of Elasticity of tends to be more inelastic If the good is a necessity. If the time period is shorter. The smaller the number of close substitutes. The more broadly defined the market. Determinants of Elasticity of tends to be more elastic : if the good is a luxury. the longer the time period. the larger the number of close substitutes. the more narrowly defined the market. 6

Elasticity and Total Revenue Total revenue is the amount paid by buyers and received by sellers of a good. Computed as the price of the good times the quantity sold. TR = P x Q Elasticity and Total Revenue $4 P P x Q = $400 (total revenue) 0 Q 100 The Total Revenue Test for Elasticity Increase in Total Revenue Decrease in Total Revenue Increase in Decrease in INELASTIC DEMAND ELASTIC DEMAND ELASTIC DEMAND INELASTIC DEMAND 7

An Example of an Inelastic Good Oil and Oil s This video will show the supply side issues with getting oil out of the ground. Then the video will focus on the demand (us!) issues of using oil. Insert Economics Video File 1 and play Arab Oil clip. Income Elasticity of Income elasticity of demand measures how much the quantity demanded of a good responds to a change in consumers income. It is computed as the percentage change in the quantity demanded divided by the percentage change in income. Computing Income Elasticity Income Elasticity of = Percentage Change in ed Percentage Change in Income 8

Income Elasticity - Types of Goods - Normal Goods Income Elasticity is positive. Inferior Goods Income Elasticity is negative. Higher income raises the quantity demanded for normal goods but lowers the quantity demanded for inferior goods. Cross Elasticity of Elasticity measure that looks at the impact a change in the price of one good has on the demand of another good. % change in demand Q1/% change in price of Q2. Positive-Substitutes Negative-Complements. 9