M6.3Global Foods, Inc. imports food products to the United States from Hamburg, Marseilles, and Liverpool. Ships from these ports deliverthe 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 shipping costs ($/1,000 lbs.) from the European ports to the U.S> cities and available supplies (1,000 lbs.)at the European ports are provided in the following table:

Port Charleston Miami Wilmington Supply (1,000 lbs.)

Rotterdam $525 $488 $765 110

Barcelona$625 $740 $590 125

Genoa$550 $450 $600 6

The transportation costs ($/1,000 lbs.) from each U.S. city of the three distribution centers and the demands (1,000 lbs.) at the distribution center

:Distribution Center

Houston Denver Detroiot charleston miami wilmington from warehouse

Charleston$105 $90 $110

Miami$175 $154 $133

Wilmington$95 $115 $133

Demand (1,000 lbs.)100 90 80

solve to determine the minimum shipping costs required to meet demands.

SOLUTION:The optimal solution, the value of the cost, should be $170,785. This is a transportation problem.

a)Which European supplier did not ship out all its supply?

b)How many pounds should be shipped from Barcelonato Wilmington?

c)How many pounds should be shipped from Miami to Detroit?