Mathematics Chapter 5 Homework Problem 5-38 Distances: From Node 1

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Flows:

From N-1 N-2 N-3 N-4 N-5 N-6 N-7 N-8 N-9 N-10 N-11 N-12 N-13 N-14 Flow out Node Flow in Flow out Net flow Sign RHS

Node 1 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 Node 1 0.0 1.0 -1.0 = -1

Node 2 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 Node 2 0.0 0.0 0.0 = 0

Node 3 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 Node 3 0.0 0.0 0.0 = 0

Node 4 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 Node 4 0.0 0.0 0.0 = 0

Distances:

From N-1 N-2 N-3 N-4 N-5 N-6 N-7 N-8 N-9 N-10 N-11 N-12 N-13 N-14

Node 1 200 20 200 200 26 19 200 200 200 200 200 200 200 200

Node 2 20 200 10 200 200 200 200 200 200 200 200 200 200 200

Node 10 200 200 200 200 200 20 200 200 200 200 200 200 15 200

Problem 5-38

Flow balance equations

Note: Unavailable roads

have been assigned

arbitrarily large distances to