Do not use graphical method!

2. Rod Ent packages and ships cheese trays to four different retailers. He has operations on both the East and West Coasts and in the Midwest. The cost of packaging is $3.10 per tray on the West Coast, $3.25 per tray on the East Coast, and $3.15 per tray in the Midwest. Rod's forecasts for demand indicate that shipments must be as indicated in Table (a). Packaging capacity on the West Coast is 8000 trays, on the East Coast 7000 trays, and 10, 000 trays in the Midwest. The shipping costs from the three locations to the four retailers are given in Table (b). Formulate this LP problem. Retailer Demand Table (a) Retailer Demand 2 7,000 6,000 3 5,000 7,000 Table (b) Shipping Costs per Tray To Retailer From Location West Coast Midwest East Coast 0.02 0.03 0.03 0.02 0.04 0.02 0.04 0.03 0.05 0.03 0.04 0.04