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Linear programming model 30. World Foods, Inc., imports food products such as meats, cheese, and pastries to the United States from warehouses at ports in

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30. World Foods, Inc., imports food products such as meats, cheese, and pastries to the United States from warehouses at ports in Hamburg, Marseilles, and Liverpool. Ships from these ports deliver the products to Norfolk, New York, and Savannah, where they are stored in company ware before being shipped to distribution centers in Dallas, St. Louis, and Chicago. The products are then distributed to specialty food stores and sold through catalogs. The shipping costs ($/1,000 Ib.) from the European ports to the U.S. cities and the available supplies (1,000 Ib.) at the European ports are provided in the following table: houses European Port 1. Hamburg 2. Marseilles 3. Liverpool 4. Norfolk $420 510 450 U.S.City 5. New York $390 590 360 6. Savannah Supply 470 480 78 37 The transportation costs ($/1,000 lb.) from each U.S. city of the three distribution centers and the demands (1,000 lb.) at the distribution centers are as follows: Distribution Center Warehouse 4. Norfolk 5. New York 6. Savannah Demand 7. Dallas s 75 125 68 60 8. St. Louis S 63 110 82 45 9. Chicago $81 95 95 50 Determine the optimal shipments between the European ports and the warehouses and the distribution centers to minimize total transportation costs

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