Suppose the price of tires increases from ​$70 per tire to ​$80. In​ response, the quantity of tires supplied increases from 35 comma 000 to 45 comma 000 tires. What is the price elasticity of supply for​ tires?

Respuesta :

Answer:

1.875

Explanation:

Data provided in the question:

Initial price, P₁ = $70

Final price, P₂ = $80

Initial supply quantity = $35,000

Final supply quantity = $45,000

Now,

Price elasticity of supply for​ tires = [tex]\frac{(\frac{Q_2-Q_1}{\frac{Q_2+Q_1}{2}})}{(\frac{P_2-P_1}{\frac{P_2+P_1}{2}})}[/tex]

on substituting the respective values, we get

Price elasticity of supply for​ tires = [tex]\frac{(\frac{45,000-35,000}{\frac{45,000+35,000}{2}})}{(\frac{80-70}{\frac{80+70}{2}})}[/tex]

or

Price elasticity of supply for​ tires = [tex]\frac{\frac{10,000}{\frac{80,000}{2}}}{\frac{10}{\frac{150}{2}}}[/tex]

or

Price elasticity of supply for​ tires = [ 0.25 ÷ 0.1333 ]

= 1.875