Could anyone solve these problems please.

1. For each of the following statements, determine whether the statement is true or false (the latter including "not necessarily true"), and provide a brief explanation. (a) Cost minimization is not a necessary condition for profit maximization; that is, even if a firm fails to minimize its production cost, it can still maximize its profit. (b) Suppose a firm's production function with one factor x is given by f(x)=305x2x2. If the price of its output is p=2 and the price of its factor is w=10 then the firm should use 75 units of x. (c) In the short run, a firm may produce a positive quantity even if its overall profit is negative. (d) For a market to be perfectly competitive, different firms must sell sufficiently differentiated products. (e) The cheese business in Lake Fon-du-lac, Wisconsin, is a competitive industry. All cheese manufacturers have the cost function c(q)=q2+16, while demand for cheese in the town is given by D(p)=120p. The long-run equilibrium number of firms in this industry will be 28 . 1. For each of the following statements, determine whether the statement is true or false (the latter including "not necessarily true"), and provide a brief explanation. (a) Cost minimization is not a necessary condition for profit maximization; that is, even if a firm fails to minimize its production cost, it can still maximize its profit. (b) Suppose a firm's production function with one factor x is given by f(x)=305x2x2. If the price of its output is p=2 and the price of its factor is w=10 then the firm should use 75 units of x. (c) In the short run, a firm may produce a positive quantity even if its overall profit is negative. (d) For a market to be perfectly competitive, different firms must sell sufficiently differentiated products. (e) The cheese business in Lake Fon-du-lac, Wisconsin, is a competitive industry. All cheese manufacturers have the cost function c(q)=q2+16, while demand for cheese in the town is given by D(p)=120p. The long-run equilibrium number of firms in this industry will be 28