7. A farm co-op has 6000 acres available on which to plant corn and soybeans. The following table summarizes each crop's requirements for fertilizer/herbicide, harvesting labor hours, and the available amounts of these resources. Corn Soybeans Available Fertilizer 9 gallons/acre 3 gallons/acre 40500 gallons Harvesting labor 3/4 hour/acre 1 hour/acre 5250 hours The co-op's resources of land, fertilizer/herbicide, and harvest time are limited (con- strained). If profits per acre are $240 for corn and $160 for soybeans, how many acres of each crop should the co-op plant to maximize profit? What is the maximum profit? Set up and solve the linear programming problem associated to this word problem. 8. Consider the linear programming problem: Maximize f = 2x1 + 3x2 subject to 1 + 212