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Problem 9-19East Coast Trucking provides service from Boston to Miami using regional offices located in Boston, NewYork, Philadelphia, Baltimore, Washington, Richmond, Raleigh, Florence, Savannah, Jacksonville, andTampa. The number of miles between each of the regional offices is provided in the following table:The company’s expansion plans involve constructing service facilities in some of the cities where aregional office is located. Each regional office must be within 400 miles of a service facility. For instance,if a service facility is constructed in Richmond, it can provide service to regional offices located in NewYork, Philadelphia, Baltimore, Washington, Richmond, Raleigh, and Florence. Management would like todetermine the minimum number of service facilities needed and where they should be located.(a) Formulate an integer linear program that can be used to determine the minimum number of servicefacilities needed and their locations.
