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Elasticity Definition and Useful Applications Price Elasticity of Demand Ratio of Percentage Change in Quantity Demanded to Percentage Change in Price % Change in Quantity Demanded Price Elasticity of Demand = %Change in Price Q P * Q P Types of Elasticity Inelastic -- Percentage change in quantity demanded less than percentage change in price. Numerical value between 0 and -1 Elastic -- Percentage changes in quantity demanded exceeds the percentage change in price. Absolute value greater than 1 Unitary Elasticity- Numerical value equals 1. Rank Elasticities Beef Salt European vacation Steak Honda Accord Dijon mustard Factors Affecting Elasticity of Demand Availability of Substitutes Fraction of Income Spent on Good Adjustment Time Perfectly Elastic 8 7 6 5 4 3 2 1 0 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 Perfectly Inelastic 10 9 8 7 6 5 4 3 2 1 0 0 2 4 Elasticity vs Slope Elasticity vs Slope Slope = P/Q=-2 Elasticity at P=1 %DQ=(4.5-4)/4.25 %DP=(1-2)/1.5 %DQ/%DP=-.177 Elasticity at P=6 %DQ=(2-1.5)/1.75 %DP=(6-7)/6.5 %DQ/%DP=-1.86 Elasticity changes along the demand curve Unitary elasticity between P=4 and P=5 Above point of unitary elasticity, demand is elastic Below point of unitary elasticity, demand is inelastic Revenue and Elasticity Q Price 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 Elas ticity 10 9 8 7 6 5 4 3 2 1 0 -19.00 -5.6 7 -3.0 0 -1.8 6 -1.2 2 -0.8 2 -0.5 4 -0.3 3 -0.1 8 -0.0 5 Total Reven ue 0 4.5 8 10.5 12 12.5 12 10.5 8 4.5 0 Total Revenue Elasticity of Supply Ratio of Percentage Change in Quantity Supplied to Percentage Change in Price Ranking Supply Elasticities Rental Housing (short run) Retail sales clerks Computer programmers Tiger Woods Compact Discs