Question

In a network flow problem, the constraint X13+X23-X34 >= 50 indicated that:

a) Flow from node 1 to node 3 is at least 50.
b) Flow from node 2 to node 3 is at least 50.
c) Flow from node 3 to node 4 is at least 50.
d) Flow from node 3 to node 1 is at least 50.

Answer 1

The given constraint X13+X23-X34 >= 50 indicates that the flow from node 3 to node 4 is at least 50 (option c).

Step-by-step explanation:

The given constraint X13+X23-X34 >= 50 indicates that the flow from node 3 to node 4 is at least 50 (option c). Let's break down the equation:

1. X13 represents the flow from node 1 to node 3.
2. X23 represents the flow from node 2 to node 3.
3. X34 represents the flow from node 3 to node 4.

Hence, the constraint ensures that the flow from node 3 to node 4 is greater than or equal to 50.