question is below

3. The inverse market demand for fax paper is given by P = 400 - 2Q. There are 2 firms that produce fax paper. Each has a unit cost of production equal to $40 and they compete in quantities. They make their quantity choices simultaneously. a) Show how to derive the Cournot Nash equilibrium of this game. What are the firm's profits in equilibrium? b) What is the monopoly output, that is, the one that maximizes total industry profit? Why isn't producing one- half the monopoly output a Nash equilibrium outcome? c) Suppose now firm 1 has a cost advantage. Its unit cost is constant and equal to 25 whereas firm 2 still has a unit cost of 40. What is the Cournot outcome now? What are the profits of each firm