Corn is a food product in high demand but also enjoys a government price subsidy.

Assume that the demand for corn (in bushels) is given by D( p) = 150,000(15 − p) +, where p is the price per bushel. The government program guarantees that p ≥ 2. Suppose that there are three corn producers who have reaped 1 million bushels each. They each have the choice of how much to send to market and how much to use for feed (at no profit). Find the Nash equilibrium. What happens if one farmer sends the entire crop to market?