Globalnet Foods, Inc., imports food products such as meats, cheeses, 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 warehouses before being shipped to distribution centers in Dallas, St. Louis, and Chicago. The products are then distributed to specialty food stores and sold through catalogues. The shipping costs ($/1000 lb) from the European ports to the U.S. cities and the available supply (1000 lb) at the European ports are provided in the following table.

The transportation costs ($/1000 lb) from each U.S. warehouse to the three distribution centers and the demand (1000 lb) at the distribution centers are as follows.

Determine the optimal shipments between the European ports and the warehouses and the distribution centers that will minimize total transportationcosts.

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U.S. Cities European Port 1. Hamburg 2. Marscilles 3. Liverpool L. Norfolk $420 510 450 5. New York $390 590 360 6.Savannah $610 470 480 Supply 55 78 37 Distribution Center 8. St.Louis 7. Dallas Warehouse 4. Norfolk 5. New York 6. Savannah 9. Chicago $81 95 95 125 68 82 60 45 50