ELASTICITY Chapter – 4/2 1 Hanan-107 What is Elasticity? Elasticity refers to the degree of responsiveness in demand in relation to changes in price If a curve is more elastic, then small changes in price will cause large changes in quantity consumed. If a curve is less elastic, then it will take large changes in price to effect a change in quantity consumed 2 Hanan-107 3 Hanan-107 At the extremes, a perfectly elastic curve will be horizontal, and a perfectly inelastic curve will be vertical. 4 Hanan-107 How Is Elasticity Measured? Elasticity = (% Change in Quantity)/(% Change in Price) I. Noora had 10 pens when the price was 1 R BUT she had 6 only when the price raise to 1.5 R % Change in Quantity = (6-10)/10 = -0.4 = -40% % Change in Price = (1.50-1)/1 = 0.5 = 50% (-40%)/(50%) = -0.8 Elasticity of Demand = 0.8 5 Hanan-107 Elasticity to study elasticity over a curve, rather than at a specific point, is to calculate elasticity using the following formula: Elasticity = (Change in quantity/Average quantity) / (Change in price/Average price) Elasticity = ((Q1 - Q2) / (Q1 + Q2)/2 )) / ((P1 P2)/( (P1 + P2)/2)) Elasticity = (Q1 - Q2) / (P1 - P2)* (P1 + P2)/2)/ (Q1 + Q2)/2 6 Hanan-107 The price falls to $19.50 and the quantity demanded increases to 11 pizzas an hour. The price falls by $1 and the quantity demanded increases by 2 pizzas an hour. 7 Hanan-107 Average Price and Quantity you have the following table : Calculate the price elasticity of demand: The Original Point The New Point The Average P1= 20.5 P2 = 19.5 P aver= 20 Q1= 9 Q 2 = 11 Q aver= 10 8 Hanan-107 9 Hanan-107 Price Elasticity of Demand The price elasticity of demand is %DQ/ %DP = (1/5)/(1/20) = 20/5 =4 10 Hanan-107 . Example 2: Elasticity of Demand Suppose we were looking at the demand for McDonald’s Hamburgers at a particular location. When they had a p=$0.75 they had a Qd=1000 hamburgers per day. The owner of the McDonald’s decided to raise price to p=$1.00 and found that demand dropped to Qd=900 per day. Calculate the elasticity of demand for hamburgers at this McDonald’s. Elasticity of demand =%∆Q / %∆P= [(Q2-Q1) / Qave] / [(P2-P1) / Pave] Applying the above formula to the data given we get:│ [(900- 1000)/950]/[(1.00-.75)/.875]│≈-0.368 11 Hanan-107 Elasticity Along a straight- Line Demand Curve 12 Hanan-107 Elasticity Along a straight- Line Demand Curve Elasticity decreases as the price falls and quantity demanded increases. At midpoint of a demand curve , the demand is unit elastic. Above the midpoint of a demand curve , the demand is elastic. Below the midpoint of a demand curve , the demand is inelastic. 13 Hanan-107