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In 2056, there are two mining firms operating on the moon, extracting Helium 3. Once both firms have entered the market, they compete a la Cournot. The market inverse demand function is given by P(Q) = 8 -Q. For items 1-2 below, assume that both firms have the total cost functions C(q) = 2 + 2q. For the other items, firm one still has the same cost structure, but see instructions for firm two. 1. Suppose both firms enter the market at the same time. Find the equilibrium price and total output. Are profits positive - that is, was the entry decision correct? 2. Suppose firm 1 enters the market first and firm two follows, as in the Stackelberg model from lecture. Find the equilibrium price and output of each firm. Are the two firms better off or worse off compared to in part 1? Are profits positive