The market for a certain grain is currently in equilibrium. The equilibrium price is $2.23 per bushel, and the equilibrium quantity (where supply equals demand) is 7200 million bushels. Suppose that the slope of the price-demand line is 0.00013. Suppose also that at a price of $2.3 per bushel the supply of grain is 7600 million bushels.

(A) Find the price-supply equation of the form p=mx+b, where p is the price in dollars and x is the demand in millions of bushels.

(B) Find the price-demand equation of the form p=mx+b, where p is the price in dollars and x is the supply in millions of bushels.

Suppose now that the government wants to subsidize the grain producers to reduce the equilibrium prices. Specifically, suppose that the government subsidy will shift the price-supply line down by exactly 0.4. Suppose further that the government subsidy has no impact on the price-demand equation. Answer the following questions.

(C) Find the new price-supply equation of the form p=mx+b, where p is the price in dollars and x is the demand in millions of bushels.

(D) Find the new equilibrium point.