A network of railway lines connects the main lines entering and leaving a city. Speed limits, track reconstruction, and train length restrictions lead to the flow diagram below, where the numbers represent how many cars can pass per hour. Max s.t. Node 1 Flows Node 2 Flows Node 3 Flows Node 4 Flows Node 5 Flows Node 6 Flows Node 7 Flows Node 8 Flows Node 9 Flows 1 Node F Flows Max Flow on Arcs 500 300 all x > 0 for all i and j. 0000000 600 300 400 400 150. 200 300 Ⓡ Formulate an LP to find the maximal flow in cars per hour from node 1 to node 10. (Let x represent the flow from node i to node j. Enter your maximum flows as a comma-separated list of inequalities.) 7 4 200 500 400 350 8 300 600 300 9 450 500 10

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A network of railway lines connects the main lines entering and leaving a city. Speed limits, track reconstruction, and train length restrictions lead to the flow diagram below, where the numbers represent how many cars can pass per hour.
Max
s.t.
Node 1 Flows
Node 2 Flows
Node 3 Flows
Node 4 Flows
Node 5 Flows
Node 6 Flows
Node 7 Flows
Node 8 Flows
Node 9 Flows
Node F Flows
Max Flow on Arcs
500
all x > 0 for all i and j.
300
5
600
300
400
400
3
150
6
200 300
Formulate an LP to find the maximal flow in cars per hour from node 1 to node 10. (Let x, represent the flow from node i to node j. Enter your maximum flows as a comma-separated list of inequalities.)
Kij
7
200
500
400
350
8
300
600
300
9
450
500
10
Transcribed Image Text:A network of railway lines connects the main lines entering and leaving a city. Speed limits, track reconstruction, and train length restrictions lead to the flow diagram below, where the numbers represent how many cars can pass per hour. Max s.t. Node 1 Flows Node 2 Flows Node 3 Flows Node 4 Flows Node 5 Flows Node 6 Flows Node 7 Flows Node 8 Flows Node 9 Flows Node F Flows Max Flow on Arcs 500 all x > 0 for all i and j. 300 5 600 300 400 400 3 150 6 200 300 Formulate an LP to find the maximal flow in cars per hour from node 1 to node 10. (Let x, represent the flow from node i to node j. Enter your maximum flows as a comma-separated list of inequalities.) Kij 7 200 500 400 350 8 300 600 300 9 450 500 10
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