Q. For belt Corporation has a one yr 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 (LA) also St. Paul (SP). Plans call for the subsequent number (in thousands) of refrigerators to be produced at each location:
Boston - 50K Dallas - 70K LA - 60K SP - 80K
For belt's three plants are capable of producing the motors. The plants also production capacities (in thousands) are:
Denver - 100k Atlanta - 100 Chicago - 150
Because of varying production also transportation costs, the profit which Forbelt earns on each lot of 1000 units depends on which pant produced the lot also which destination it was shipped to. The subsequent table gives the accounting division estimates of profit per unit (shipments will be made in lots of 1000 units):
Shipped To
Produced At Boston Dallas Los Angeles St. Paul
Denver 7 11 8 13
Atlanta 20 17 12 10
Chicago 8 18 13 16
With profit maximization as a criterion, Forbelt's management wants to Conclude Elucidate how many motors should be produced at each plant also Elucidate how many motors should be shipped from each plant to each destination.
A. Develop a network representation of the model
B. Find the optimal solution