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 (74.82 KiB) Viewed 43 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 Atlanta 700 Chicago 1,300 40 1,200 700 St. Louis 550 300 60 Cleveland 125 675 350 50 Demand (tons) 30 20 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 Xij 20