Market Researchers at XYZ Corp. estimate that the demand function for the firm's product is
Q=50P ^-1.5 I ^0.5
Q= Quantity Demanded P= Product's Price I= Per Capita Disposable Income
Marginal Cost of the firm's product is estimated to be $10. Population is constant.
XYZ's price for the product is $20. Is this the optimal price? Why or why not? If not what would be the optimal price?© BrainMass Inc. brainmass.com March 4, 2021, 8:08 pm ad1c9bdddf
We can re-write the demand curve into:
P ^1.5 = 50 I ^0.5 / Q
(P^1.5)^(2/3) = (50 I ^0.5 / Q)^(2/3)
The firm's total revenue is
TR = Q*P = Q * (50 I ^0.5 / Q)^(2/3) = (50 I ^0.5)^(2/3) * ...
This job figures optimal price.