Randy's RV Storage stores two types of Recreational Vehicles (RVs), The Xtra RV (x) takes up 400 square feet of space, while the Yosemite RV ( \(y\) ) takes up 600 square feet of space. Randy has 55,000 square feet of storage space. By local law, he is only allowed to have a maximum of 100 RVs on his property at any one time. He charges \(\$ 60\) a month to store an Xtra RV, and \(\$ 80\) a month to store a Yosemite RV. How many of each should he store in order to maximize his profit?

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