1. Aloha Foods, Inc., imports food products such as meats, cheese, and pastries to the United...

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1. Aloha 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 LA, Houston, and New York, where they are stored in company warehouses before being shipped to distribution centers on different islands such as Oahu, Maui, and Hawaii Island. The products are then distributed to specialty food stores and sold through catalogs. The shipping costs ($/1,000 lb.) from the European ports to the US cities and the available supplies (1,000 lb.) at the European ports are provided in the following table: European Port LA Houston New York Supply (1,000 lb.) Hamburg $420 $390 $610 55 Marseilles $510 $590 $470 78 Liverpool $450 $360 $480 37 The transportation costs ($/1,000 lb.) from each USA city to the three distribution centers and the demands (1,000 lb.) at the distribution centers are as follows: Warehouse Oahu Maui Hawaii Island LA $75 $63 $81 Houston $125 $110 $95 New York $68 $82 $95 Determine the optimal shipments between the European ports and the warehouses and the distribution centers in Hawaii to minimize total transportation costs. Distribution Center Demand Oahu 60 Maui 45 Hawaii Island 50 1. Aloha Foods, Inc., imports food products such as meats, cheese, and pastries to the United States from warehouses at ports in Hamburg, Marseilles, and Liverpool. Ships from these ports deliver the products to LA, Houston, and New York, where they are stored in company warehouses before being shipped to distribution centers on different islands such as Oahu, Maui, and Hawaii Island. The products are then distributed to specialty food stores and sold through catalogs. The shipping costs ($/1,000 lb.) from the European ports to the US cities and the available supplies (1,000 lb.) at the European ports are provided in the following table: European Port LA Houston New York Supply (1,000 lb.) Hamburg $420 $390 $610 55 Marseilles $510 $590 $470 78 Liverpool $450 $360 $480 37 The transportation costs ($/1,000 lb.) from each USA city to the three distribution centers and the demands (1,000 lb.) at the distribution centers are as follows: Warehouse Oahu Maui Hawaii Island LA $75 $63 $81 Houston $125 $110 $95 New York $68 $82 $95 Determine the optimal shipments between the European ports and the warehouses and the distribution centers in Hawaii to minimize total transportation costs. Distribution Center Demand Oahu 60 Maui 45 Hawaii Island 50