SpaceX is company considering building a hyperloop (a sealed system of tubes through which passenger pods travel free of air resistance and friction) from San Francisco to New York City. This system would dramatically reduce transportation times along the route. The hyperloop would cost $2.4 billion to build and nothing to maintain. a. The following table gives the anticipated demand over the lifetime of the hyperloop. Find total revenue and marginal revenue for the various possible quantities of crossings. If SpaceX were to build the hyperloop, what would be its profit-maximizing price? Would that lead to the efficient level of output? Why or Why not? Price per Crossing Number of Crossings in Millions 0 Total Revenue in Millions Marginal Revenue $8 $ 7 100 200 300 $5 $4 400 $3 500 600 $ 1 700 $0 800 Profit maximizing price = _ Efficient output level? b. If SpaceX is interested in maximizing profits, should it build the hyperloop? What would be its profit or loss? Profit = c. If the government were to build the hyperloop, what price should it charge assuming its goal is to maximize welfare? Price = d. Should the government build the hyperloop? How big of a cost overrun would be needed to make building the hyperloop by the government undesirable? Explain your answer in no more than two sentences