FIND A SOLUTIONAT All A+ Essays
East Coast Trucking provides service
from Boston to Miami using regional offices located in Boston, New
York, Philadelphia, Baltimore, Washington, Richmond, Raleigh,
Florence, Savannah, Jacksonville, and Tampa. The number of miles
between the regional offices is provided in the following table:
The company’s expansion plans involve constructing service
facilities in some of the cities where regional offices are
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 New
York, Philadelphia, Baltimore,
Washington, Richmond, Raleigh, and Florence. Management would
like to determine 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 service facilities needed and their
locations.
b. Solve the integer linear program formulated in part (a).
How many service facilities are required, and where should they be
located?
c. Suppose that each service facility can provide service
only to regional offices within 300 miles. Re-solve the integer
linear program with the 300-mile requirement. How many service
facilities are required and where should they be located?
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