Set up or formulate but do not solve the following LP problem. Be sure to include a well written definition for the variables.
A farmer must plant two crops, wheat and barley. Wheat will yield a profit of $150/acre and barley will yield a profit of $200/acre. Wheat costs $40/acre to produce and harvest and barley costs $60/acre. The farmer has a maximum of $7400.00 available to produce and harvest these two crops. Each acre of wheat requires 20 man-hours and each acre of barley costs 25 man-hours. The farmer must keep the man-hours less than or equal to 3300. How many acres of each crop should he plant in order to maximize his profit?
