Suppose there are five firms in an oligopoly market, one of them being a dominant one. The market demand function is given as QM = 200 – 2 P and the supply function of 4 small firms together is given as Qs = 20 + P The cost function of the dominant firm reads as follows.

TCD = 100 + 12 Q + 0.25 Q 2 Find the following:

(a) Total supply by 4 small firms and their supply price before the dominant firm fixed its own price.

(b) Price and output of the dominant firm, and

(c) Total market share of four small firms after dominant firm fixes its price.