1. Consider a model of monopolistic competition and trade in differentiated goods. Suppose Home demand, as a function of price, Q(P), for each variety is given by Q(P) = s[v-b(P P)] And, the firm's cost as a function of quantity, C(Q), is given by C(Q) = c+Q+F. The variables in the model are as defined in the class notes. Suppose the economy is characterized by the following parameters: S = 360, b = 2, F = 5, c = 1/2. Also, we assume that firms are symmetric, i.e. all firms charge the same price in the industry. a. In autarky, what is the long run equilibrium number of firms (NA) in the market? b. In the autarky equilibrium, what are the price charged and quantity sold by each firm