Question: Consider the following network flow problem. (Let X, represent the flow from node i to node j.) MAX: +6X12 + 5X14 + 2X23 + 5X24

Consider the following network flow problem. (Let

Consider the following network flow problem. (Let X, represent the flow from node i to node j.) MAX: +6X12 + 5X14 + 2X23 + 5X24 + 4X32 + 8X43 + 10X52 + 6X54 Subject to: - X12 X14 = -5 + X12 + X52 + X32 X23 - X24 = -4 -X32 + X23+ X43 = +8 + X14 + X24 + X 54 - X43 - +0 -X52 - X54 = -7 X 2 O for all / and j Draw the network representation of the network flow problem. 1 1 1 6 5 6 5 6 5 -4 +0 -4 +0 +0 -4 5 5 5 4 2 2 4 4 8 2 4 8 2 4 8 2 +8 +8 +8 10 3 10 3 6 6 10 3 -5 5 5 5 O @0 mo 1 6 +0 5 4 4 8 2 +8 3 10 6 -5 5

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