Pete's Plastics manufactures plastic at plants in Miami, St. Louis, and Cleveland. The company needs to ship plastic to

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Pete S Plastics Manufactures Plastic At Plants In Miami St Louis And Cleveland The Company Needs To Ship Plastic To 1 (94.1 KiB) Viewed 42 times

Pete's Plastics manufactures plastic at plants in Miami, St. Louis, and Cleveland. The company needs to ship plastic to customers in Pittsburgh, Atlanta, and Chicago. It wants to minimize the cost of shipping the plastic from its plants to its customers. The data for the problem are summarized in the following table: Distance from Plants to Customers Supply (tons) Plant Miami Pittsburgh 1,200 Atlanta 700 Chicago 1,300 40 St. Louis 700 550 300 50 Cleveland 125 675 350 60 Demand (tons) 20 40 50 Formulate the LP for this problem. (Let X;;= tons shipped from plant i to customer j (i and j = 1, 2, 3).) MIN: Subject to: plant 1 supply plant 2 supply plant 3 supply customer 1 demand customer 2 demand customer 3 demand