Four firms are competing in a market where they maintain elevated prices through a grim trigger strategy i.e. if one firm lowers their prices, they will capture the whole market for one period, but then in response the other three firms will lower their prices during the second period and on into perpetuity. While all are cooperating, the firms split the monopolist profit of $4,000,000, but if they all lower their prices, they split the industry profit of $2,000,000.If the discount rate is 6%, calculate the benefit for one firmfrom cooperating, and the benefit for one firm from cheating.Would you expect any of the firms to cheat in this market? Why or why not?