A farmer grows wheat ( \(x\) ) and barley ( \(y\) ) on his 500 acres of cropland. He expects to profit \(\$ 150\) per acre for wheat and \(\$ 180\) per acre for barley. The cost of raising each crop (seed, pesticide, etc.) is \(\$ 60\) per acre for wheat and \(\$ 90\) per acre for barley. The farmer can budget \(\$ 36,000\) for the growing of the crops. To maximize his profit, how many acres of each crop should be grown?

Use the four steps for solving linear programming problems to solve.