I) A private rm is giving consideration to building a new road across town. The road would cost $1 million to build and $0 to maintain. The following equation shows the demand over the lifetime of the road: Q = 400 -100P where Q is in thousands. a} (5 pts) Calculate the maximum prot the private rm would earn if it were to build the new road Should the private rm build the new road? 1)} (5 pts) What would be the efficient level of output? Explain. c} (5 pts) What if the government were to build the new road, what price should it charge? d} (5 pts) Should the government build the new road? Explain