The market demand function for corn is Qd = 15 - 2P and the market supply function is Qs = 5P -2.5, both measured in billions of bushels per year. Suppose that there is a tax of $T per bushel. What are the prices buyers and sellers receive as a function of the tax T? What are the government's revenue, aggregate surplus, and the deadweight loss as a function of T? What happens to the ratio of the deadweight loss divided by the government's tax revenue as T grows?