you are the manager of a firm with total cost given by TC = 35000+100q where q denotes the number of units produced. the market price is determined by P = 700-Q where Q is market production.

1) if you are a monopolist, what is the maximum profit for your firm?

2) if you are a monopolist, what is the maximum revenue for your firm?

3) if are one out of two identical firms serving the market, find the profit for each firm in a Nash Equilibrium, when both firms are using their best response function?

4) if are one out of two identical firms serving the market, find your profit if there is a collusion agreement between the firms?