Forbelt Corporation has a oneyear contract to supply motors for
all refrigerators produced by the Ice Age Corporation. Ice Age
manufactures the refrigerators at four locations around the
country: Boston, Dallas, Los Angeles, and St Paul. Plans call for
the following number in thousands of refrigerators to be produced
at each location:BostonDallasLos AngelesSt PaulForbelts three plants are capable of producing the motors. The
plants and production capacities in thousands are as follows:Denver AtlantaChicago Because of varying production and transportation costs, the
profit that Forbelt earns oneach lot of units depends on which
plant produced the lot and which destination itwas shipped to The
following table gives the accounting department estimates of the
profitper unit shipments will be made in lots of units:
Shipped ToProduced At Boston
Dallas Los
Angeles St PaulDenver
Atlanta
Chicago
With profit maximization as a criterion, Forbelts management
wants to determine how many motors should be produced at each plant
and how many motors should be shipped from each plant to each
destination.a Develop a network representation of this problem.b Find the optimal solution.
