A farmer grows wheat, barley, and oats on her farm. And can only use at most 500 acres. Each acre of wheat requires 3 da

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A farmer grows wheat, barley, and oats on her farm. And can onlyuse at most 500 acres. Each acre of wheat requires 3 days of laborand costs $21, each acre of barley requires 2 days of labor andcosts $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 canafford to spend no more than $15,120. In addition, because of thecommodities market and demand, she will only be able to sell atmost 120 acres of barley. She will be able to sell an unlimitedamount of wheat and oats. If the expected profit is $50 for eachacre of wheat, $40 for each acre of barley, and $45 for each acreof oats, what is the maximum profit?