Mathematics Chapter 5 Homework Problem 5-35 Flows From Node Flow in Flow out Net flow Sign RHS

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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 – 1 1 1 – – – – – – – – – – 3.0 Node 1 3.0 3.0 0.0 =0.0

Node 2 – – – – 1 – – – – – – – – – 1.0 Node 2 1.0 1.0 0.0 =0.0

Node 3 – – – – – 2 – – – – – – – – 2.0 Node 3 2.0 2.0 0.0 =0.0

Node 4 – – – – – – – 1 – – – – – – 1.0 Node 4 1.0 1.0 0.0 =0.0

Capacities:

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 0 4 1 3 0 0 0 0 0 0 0 0 0 0

Node 2 0 0 0 0 1 0 0 0 0 0 0 0 0 0

Node 3 1 0 0 0 0 2 2 0 0 0 0 0 0 0

Node 4 3 0 0 0 0 0 0 1 0 0 0 0 0 0

Flow balance equations

Problem 5-35