The demand function for an oligopolistic market is given by the equation, Q=180-4P. the industry has one dominant firm whose marginal cost function is MC=12+0.1d, and many small firms, with a total supply function: Qs=20+P
a. derive the demand equation for the dominant oligopolist.
b. determine the oligopolist's profit maximizing output price.
c. determine the total output of the small firms