Muro manufacturing company makes two kinds of plasma screen TV's. It produces the flexscan set that sells for $350 profit and the panoramic I that sells for $500 profit. On the assembly line, the flexscan requires 5 hours, and the panoramic I takes 7 hours. The cabinet shop spends 1 hour on the cabinet for the flexscreen and 2 hours on the cabinet for the panoramic I. Both sets require 4 hours for testing and packing. On a particular production run, the Muro Company has available 3600 work-hours on the assembly line, 900 work-hours in the cabinet shop, and 2600 work-hours in the testing and packing department.
How many sets of each type should it produce to make a maximum profit? What is the maximum profit?