Consider the Following Network Representation of Shipment Routes Between Plants

Multiple Choice

Consider the following network representation of shipment routes between plants, a distribution center, and retail outlets. The numbers next to the arcs represent shipping costs. For example, the cost of shipping from plant 1 to distribution center 3 is equal to $2.




Assume that Plant 1 can supply 400 units and Plant 2, 500 units. Demand at the retail outlets are: Outlet 4, 300 units; Outlet 5, 250 units; Outlet 6, 450 units.
-Which constraint represents transshipment through the distribution center?

A) 2X13 + 3X23 = 900
B) 2X13 + 3X23 + 5X34 + 4X35 + 3X36 = 0
C) X13 + X23 - X34 - X35 - X36 = 0
D) X13 + X23 - X34 - X35 - X36 ≥ 0