Answer: The price elasticity of demand for good A is 0.67, and an increase in price will result in a increase in total revenue for good A
Explanation:
The following can be deduced form the question:
P1 = $50
P2 = $70
Q1 = 500 units
Q2 = 400 units
Percentage change in quantity = [Q2 - Q1 / (Q2 + Q1) ÷ 2 ] × 100
Percentage change in price = [P2 - P1 / (P2 + P1) ÷ 2 ] × 100
% change in quantity = (400 - 500)/(400 + 500)/2 × 100
= -100/450 × 100
= -22.22%
% change on price = (70 - 50)/(70 + 50)/2 × 100
= 20/60 × 100
= 33
Price elasticity of demand = % change in quantity / % change on price
= -22.22 / 33
= -0.67
This means that a 1% change in price will lead to a 0.67% change in quantity demanded. As there was a price change, there'll be a little change in quantity demanded because demand is inelastic. Thereby, he increase in price will lead to an increase in the total revenue.
Therefore, the price elasticity of demand for good A is 0.67, and an increase in price will result in an increase in total revenue for good A
