Posted by **Erin** on Wednesday, September 20, 2006 at 10:34am.

given the demand function Q=9-.5P how can you figure out the optimal price if the objective of the firm is to mazimize revenues?? PLEASE HELP

more a calclus question with an economics application. First, set the equation for total revenue TR. TR is simply price times quantity -- P*Q. Multiply your equation by P.

P*Q = 9P-.5P^2 = TR

Next, find the first derivitive wrt to P. TR' = 9-P. Find the P such that TR'=0. Obviously P=9. This is the revenue (not profit) maximizing price.