Using the midpoints method, calculate the price elasticity of demand of Good X using the following information: When the price of good X is $50, the quantity demanded of good X is 400 units. When the price of good X rises to $60, the quantity demanded of good X falls to 300 units.

A. The price elasticity of demand for good X -123 e
B. The price elasticity of demand for good X -1.57.
C. The price elasticity of demand for good X-0.64

Respuesta :

Answer:

Explanation:

In response to the price rise from $50 to $60, the quantity demanded of product X  drops from 400 to 300 units. We know that price elasticity of demand is a measure of the responsiveness of changes in demand as a result of a price change. Thus,

% change in price = [tex]\frac{Change in price}{Average of the prices}[/tex]

          = [tex]\frac{60-55}{55}[/tex] = 0.1818

% Change in Quantity demanded

=[tex]\frac{Change in quantity demanded}{Average quantity demanded}[/tex]

= [tex]\frac{300-400}{350}[/tex]

= -0.2857

Thus,

Price elasticity of demand = [tex]\frac{percentage change in quantity demanded}{percentage change in price}[/tex]

= [tex]\frac{-0.2857}{0.1818}[/tex]

= -1.5715

Therefore, the price elasticity of demand = -1.5715