All firms in a competitive market have the following total cost function TC = 0.5Q2+ 4Q + 120 The market demand and supply functions are given by Qmd = 1700 - 20P , Qms = -100 + 10P where Qmd and Qms are in 100 units.
(a) What is a typical firm's profit maximizing level of output?
(b) What is the firm's profit?
(c) How many firms operate in this market?