# Answer to Question #76016 in Microeconomics for Claire

Question #76016

Given the demand function :

P = 500 - 4Q^2

Calculate arc elasticity averaged along the arc joining Q = 8 and Q = 10

P = 500 - 4Q^2

Calculate arc elasticity averaged along the arc joining Q = 8 and Q = 10

Expert's answer

E = (Q_2 - Q_1)*(P_1+P_2) / ((Q_2 + Q_1)*(P_2-P_1))

Q_1 = 8

Q_2 = 10

P_1 = 500 - 4*8^2 = 244

P_2 = 500 - 4*10^2 = 100

Then

E = (10 - 8)*(244+100) / ((10 + 8)*(100-244)) = - 2*344/(18*144) = -0.27

Demand is relatively inelastic

Q_1 = 8

Q_2 = 10

P_1 = 500 - 4*8^2 = 244

P_2 = 500 - 4*10^2 = 100

Then

E = (10 - 8)*(244+100) / ((10 + 8)*(100-244)) = - 2*344/(18*144) = -0.27

Demand is relatively inelastic

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