(a) Formulate a linear programming model of the problem. (Express your answers using Xij, where each X;; is either 0 or 1 for the arc from node i to node j.) Min s.t. Node 1 Flows Node 2 Flows Node 3 Flows Node 4 Flows Node 5 Flows Node 6 Flows Node 7 Flows For all x = 0, 1. (b) Find the shortest route from node 1 to node 7 in the network shown. (Enter your answers as a comma-separated list.) path= 1, ,7

Practical Management Science
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Chapter2: Introduction To Spreadsheet Modeling
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Consider the following transshipment network for finding the shortest route from node 1 to node 7.
Min
s.t.
Node 1 Flows
Node 2 Flows
Node 3 Flows
Node 4 Flows
+
(a) Formulate a linear programming model of the problem. (Express your answers using Xij, where each X;; is either 0 or 1 for the arc from node i to node j.)
Node 5 Flows
Node 6 Flows
Node 7 Flows
1
For all x = 0, 1.
9
18
, 7
3
4
5
6
(b) Find the shortest route from node 1 to node 7 in the network shown. (Enter your answers as a comma-separated list.)
path= 1,
Transcribed Image Text:Consider the following transshipment network for finding the shortest route from node 1 to node 7. Min s.t. Node 1 Flows Node 2 Flows Node 3 Flows Node 4 Flows + (a) Formulate a linear programming model of the problem. (Express your answers using Xij, where each X;; is either 0 or 1 for the arc from node i to node j.) Node 5 Flows Node 6 Flows Node 7 Flows 1 For all x = 0, 1. 9 18 , 7 3 4 5 6 (b) Find the shortest route from node 1 to node 7 in the network shown. (Enter your answers as a comma-separated list.) path= 1,
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