The diagram below represents a transshipment problem. Node A and B represent your manufacturing factories. Node C, D, and E represent your warehouses. Node F, G, and H represent your retail centers. Your supply for Nodes A and B are 500 and 650, respectively. The demand for Nodes F, G, and H are 400, 325, and 425, respectively. All decision variables should use the following format, AC, which represents the movement of product from Node A to Node C. Formulate a linear program where your goal is to minimize costs. The costs to move from one node to another are located above each line.

Using the information above, what would be your objective function equation?

Maximize AC + AD + AE + BC + BD + BE + CD + CF + CG + DE + DF + DG + DH + EG + EH

Minimize 9AC + 8AD + 6AE + 5BC + 4BD + 10BE + 3CD + 7CF + 5CG + 2DE + 4DF + 10DG + 6DH + 11EG + 8EH

Minimize AC + AD + AE + BC + BD + BE + CD + CF + CG + DE + DF + DG + DH + EG + EH

Minimize 9AC + 8AD + 6AE + 5BC + 4BD + 10BE + 7CF + 5CG + 4DF + 10DG + 6DH + 11EG + 8EH

A 5 8 (E H