A farmer grows wheat, barley, and oats on her farm. And can only use at most 500 acres. Each acre of wheat requires 3 days of labor and costs $21, each acre of barley requires 2 days of labor and costs $27, and each acre of oats requires 3 days of labor and costs $24. The farmer can provide no more than 1200 days of labor and can afford to spend no more than $15,120. In addition, because of the commodities market and demand, she will only be able to sell at most 120 acres of barley. She will be able to sell an unlimited amount of wheat and oats. If the expected profit is $50 for each acre of wheat, $40 for each acre of barley, and $45 for each acre of oats, what is the maximum profit?