The price elasticity of demand between each of the prices are as follows:
(a) Ed = 6.00
(b) Ed = 2.50
(c) Ed = 1.33
(d) Ed = 0.75
Explanation:
Price elasticity of demand (Ed) is given as % change in quantity demanded ÷ % change in price
(a) % change in price = (P2-P1)/P1 × 100 = (25-30)/30 × 100 = -5/30 × 100 = -16.67%
% change in quantity demanded = (Q2-Q1)/Q1 × 100 = (20-10)/10 × 100 = 100%
Ed = 100% ÷ -16.67% = -6.00
Ed = 6.00
(b) % change in price = (20-25)/25 × 100 = -5/25 × 100 = -20
% change in quantity demanded = (30-20)/20 × 100 = 10/20 × 100 = 50%
Ed = 50% ÷ -20% = -2.50
Ed = 2.50
(c) % change in price = (15-20)20 × 100 = -5/20 × 100 = -25%
% change in quantity demanded = (40-30)30 × 100 = 10/30 × 100 = 33.33%
Ed = 33.33% ÷ -25% = -1.33
Ed = 1.33
(d) % change in price = (10-15)/15 × 100 = -5/15 × 100 = -33.33%
% change in quantity demanded = (50-40)/40 × 100 = 10/40 × 100 = 25%
Ed = 25% ÷ -33.33% = -0.75
Ed = 0.75