Distribution and Network models Forbelt Corporation has a on

Distribution and Network models:

Forbelt Corporation has a one year 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 Angelas, and St. Paul. Plans call for the following number (in thousands) of refrigerators to be produced at each location:

Boston: 50

Dallas: 70

Los Angelas: 60

St. Paul: 80

Forbelt\'s three plants are capable of producing the motors. The plants and production capacities ( in thousands) are as follows:

Denver: 100

Atlanta: 100

Chicago: 150

Because of varying production and transportation costs, the profit that Forbelt earns on each lot of 1000 units depends on which plant produced the lot and which destination it was shipped to. The following table gives the accounting department estimates of the profit per unit(shipments will be made in lots of 1000 units):

Produced at: Boston Dallas Los Angelas St. Paul

Denver 7 11 8 13

Atlanta 20 17 12 10

Chicago 8 18 13 16

With profit maximization as a criterian, Forbelt\'s 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. Develope a network representaion of this problem.

b. Find the optimal solution

Solution