(5) Consider the linear city where consumers who place transportation costs are uniformly distributed. In particular, we examine the situation that consumers are distributed uniformly along Route 1 from San Francisco to Los Angeles. The trip from San Francisco to Los Angeles not only takes time but also requires substantial gas. There are two firms that produce a homogeneous good and compete for prices. Assume that the value of the good is V. The price of firm 1 located in San Francisco is P and that of firm 2 located in Los Angeles is p2. The costs of transportation are tx for a consumer located at x if the consumer purchases the good from firm 1 in San Francisco and t(1-x) from firm 2 in Los Angeles. Thus, this consumer's surplus is V-tx-p for the good from firm 1 and V-t(1-x) - P from firm 2. By setting up the profit maximization problems of the two firms, find the equilibrium price when the two firms' marginal cost of production is constant at c.