Economics: Principles, Problems, and Policies, 19th Edition

Published by McGraw-Hill Education
ISBN 10: 0073511447
ISBN 13: 978-0-07351-144-3

Chapter 4 - Elasticity - Problems - Page 91: 4

Answer

Price elasticity of demand is -0.167, and since the coefficient is less than 1, price is inelastic. If price was changed from 1 dollar to 50 cents with the same price elasticity, the total revenue would decrease.

Work Step by Step

Formula of price elasticity of demand is: percentage change in quantity demanded/percentage change in price =$\frac{1.50-1}{1.5}$ ÷ $\frac{100-300}{100}$ = -0.167 Since the value of price elasticity of demand has a coefficient that is less than one, quantity demanded would change less than proportionately in response to a change in price, and thus price elasticity of demand is inelastic. When price decreases from 1 dollar to 50 cents, quantity demanded would increase less than proportionately, and thus gain in area of (P x Q) would be less than the loss of area, and total revenue would decrease.
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