Muro manufacturing company creates two types of plasma screen tv's. It makes flexscan set which sells for $350 profit and panoramic I which sells for $500 profit. On assembly line, flexscan needs 5 hours, and panoramic I takes 7 hours. Cabinet shop spends 1 hour on cabinet for flexscreen and 2 hours on cabinet for panoramic I. Both sets need 4 hours for testing and packing. On the particular production run, Muro Company has available 3600 work-hours on assembly line, 900 work-hours in cabinet shop, and 2600 work-hours in testing and packing department.
How many sets of each kind must it produce to make the maxium profit? Determine the maxium profit?