Tom Smith is the manager of a discount store. He wants to maximize the total revenue from two furniture items; a bedroom set and a living room set. It is important that the showroom space of 40,000 square feet be completely filled with these sets, some of which will be in crates. Nonetheless, the manager wants to give the impression that the store is overstocked on these items. The bedroom sets will occupy an average of 400 square feet each, and the living room sets will occupy an average of 500 square feet each. The manager estimates that it requires approximately 14 minutes to unload a bedroom set and 7 minutes to unload a living room set. There are 980 minutes available for the unloading. The living room set will produce revenue of $500 each, and the bedroom sets will produce revenue of $1000 each. The manager also has decided that a minimum of 20 living room sets should be ordered. a. Formulate the problem in a linear programming format b. Determine the optimal solution
