Problem 1 (20 Points): A gambling casino has 7 types of slot machines that it likes to put out on the floor. The casino has a limited number of each slot machine type on hand and each machine takes up a certain amount of square footage. Each machine generates monthly revenue and has an operating cost according to the table below. Finally, there is maintenance associated with each machine on the floor. The casino has 5 slot machine mechanics on staff that are each available 167 hours per month to maintain the slot machines. The casino has allocated 3,000 square feet of floor space to place its slot machines. Maximize the casino's expected profit from slot machines