The network above shows the flows possible between pairs of five locations. 1) Formulate an LP...

The network above shows the flows possible between pairs of five locations.

1) Formulate an LP to find the maximal flow possible from Node 1 to Node 5 (identify all constraints),

Please show full steps.

Expert Solution

The solution is:

The formulas are:

Data - Arc capacities
From\to	Node 1	Node 2	Node 3	Node 4	Node 5
Node 1	0	2	1	6	0
Node 2	0	0	3	0	0
Node 3	0	0	0	3	7
Node 4	0	0	4	0	3
Node 5		0	0	0	0



Flows
From\to	Node 1	Node 2	Node 3	Node 4	Node 5	Outflow
Node 1		2	1	6		9
Node 2			2			2
Node 3					7	7
Node 4			4		2	6
Node 5	9					9
Inflow	9	2	7	6	9
Outflow	9	2	7	6	9


Max Flow	9

orchestra answered 3 years ago

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