Answer:
- 0.80
Explanation:
Price elasticity of demand describes the extent to which the quantity demanded of good X changes as result of a change in its own price.
The midpoint formula for price elasticity of demand is presented and used as follows:
Percentage change in quantity = %ΔQ = [Q2 - Q1] / [(Q2 + Q1) ÷ 2] × 100
Percentage change in quantity = %ΔP = [P2 - P1] / [(P2 + P1) ÷ 2] × 100
Midpoint price elasticity of demand = %ΔQ / %ΔP
Where:
Q2 = New quantity of good X = 150
Q1 = Initial quantity of good X = 100
P2 = New price of good X = $6
P1 = Initial price of good X = $10
Therefore,
Percentage change in quantity = %ΔQ = [150 - 100] / [(150 + 100) ÷ 2] × 100
= [50/(250 ÷ 2)] × 100
= (50/125) × 100
= 40.00%
Percentage change in quantity = %ΔP = [$6 - $10] / [($6 + $10) ÷ 2] × 100
= [-$4/($16 ÷ $2)] × 100
= (-$4/$8) × 100
= - 50.00%
Price elasticity of demand = 40% / 50% = - 0.80
The elasticity of demand of -0.80 less than 1. That indicate that the quantity demand is inelastic. That is the change in the degree of change in the quantity demanded of good X is lower than the degree of change in its price.
