Suppose each of :1 rms 1' = 1,...,n can produce a good, homogeneous in that consumers View it as indistinguishable from that by the other rms. Each rm must choose simultaneously what quantity 9:- to produce, given a constant marginal cost of production of c same for each rmand anticipated inverse market demand of p = a bQ, where Q = Sq}. is the total quantity produced and supplied by this industry, and a > 0,!) > 0 are given parameters. Each rm perceives the prot function 113:. = (p c)q{. . b. Compute the Nash equilibrium production quantities. (Hint: Same 9';- = q for each rm.) c. Under this Nash equilibrium, compute the industry's total supply Q and the implied market price p , in terms of the number of rms n and the parameters a,b,c