YOU MUST SHOW YOUR WORK AND SETUP EACH PART AND SHOW THE CONDITION FOR MAXIMIZATION OF PROFITS. You are given the following information: Q=3000-P c(qi) = 500ql a. For the following parts: b. through e.: Graph and the outcomes (Simply add each portion to the graph as we've done in class as you solve; use at least a half page for this graph so that you can appropriately label everything: prices, quantities, profits, DWLs). Use a different color for each market setup. b. Find the following if the market is perfectly competitive. i.Market quantity supplied by the firms. ii. Market Price iii. Total surplus c. Find the following if the market is controlled by a monopolist: i.Quantities supplied by the firm. ii. Market Price iii.Profits earned by the firm. iv.Deadweight loss under the monopoly. d. Find the following if the market is controlled by a duopoly in the Cournot Style: 1.Briefly explain the setup of the game (i.e. information available, dynamics of moves etc.) ii.Quantities supplied by the firms. iii. Market Price iv.Profits earned by each of the firms. v.Deadweight loss under the duopoly e. Find the following if the market is controlled by a duopoly in the Stackelberg Style: i. Briefly explain the setup of the game (i.e. information available, dynamics of moves etc.) ii.Quantities supplied by the firms. iii. Market Price iv.Profits earned by the each of the firms. v.Deadweight loss under the duopoly. f. Because this cost function is not very realistic; please make changes to it and briefly explain why your version is an improvement. g. Compare/Contrast the output/profits/efficiency/deadweight loss, under each scenario (number lines). Is there another strategy that the duopoly might be able to employ to increase profits for the firms?