A small company manufactures and sells bicycles. The production manager has determined that the cost and demand functions for x bicycles per week are C(x) = 10+5x+1/60x^3 and p = 90-x, where p is the price per bicycle and x>or equal to 0.
a. Find maximum weekly revenue
b. Find maximum weekly profit
c. Find the price the company should charge to realize max profit.
I just need to know how to set up a,b,c and it will trigger my memory.