Solve the linear programming problem in Example 1.

EXAMPLE 1 The Shady-Lane grass seed company blends two types of seed mix- tures, EverGreen and QuickGreen. Each bag of EverGreen contains 3 pounds of fescue seed, 1 pound of rye seed, and 1 pound of bluegrass seed. Each bag of QuickGreen contains 2 pounds of fescue seed, 2 pounds of rye seed, and 1 pound of bluegrass seed. The company has 1,200 pounds of fescue seed, 800 pounds of rye seed, and 450 pounds of bluegrass seed available to put into its mixtures. The company makes a profit of $2 on each bag of EverGreen and $3 on each bag of QuickGreen that it produces. Set up the mathematical problem that determines the number of bags of each mixture that Shady- Lane should make in order to maximize its profit.