A beer distributor needs to plan how to make deliveries from its warehouse (node 1) to a supermarket (node 7), as shown in the network below. A graph with 7 nodes and 9 arcs is shown. Node 1 is connected to node 2 by arc of value 3, to node 5 by arc of value 3, and to node 6 by arc of value 11. Node 2 is connected to node 3 by arc of value 4. Node 3 is connected to node 2 by arc of value 4 and to node 4 by arc of value 7. Node 4 is connected to node 3 by arc of value 7, to node 6 by arc of value 5, and to node 7 by arc of value 6. Node 5 is connected to node 6 by arc of value 7. Node 6 is connected to node 4 by arc of value 5, to node 5 by arc of value 7, and to node 7 by arc of value 3. Develop the LP formulation for finding the shortest route from the warehouse to the supermarket. (Let xij represent the flow 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     xij > 0 for all i and j

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Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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A beer distributor needs to plan how to make deliveries from its warehouse (node 1) to a supermarket (node 7), as shown in the network below.
A graph with 7 nodes and 9 arcs is shown.
  • Node 1 is connected to node 2 by arc of value 3, to node 5 by arc of value 3, and to node 6 by arc of value 11.
  • Node 2 is connected to node 3 by arc of value 4.
  • Node 3 is connected to node 2 by arc of value 4 and to node 4 by arc of value 7.
  • Node 4 is connected to node 3 by arc of value 7, to node 6 by arc of value 5, and to node 7 by arc of value 6.
  • Node 5 is connected to node 6 by arc of value 7.
  • Node 6 is connected to node 4 by arc of value 5, to node 5 by arc of value 7, and to node 7 by arc of value 3.
Develop the LP formulation for finding the shortest route from the warehouse to the supermarket. (Let xij represent the flow 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
 
 
xij > 0 for all i and j
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I do appreciate the answer but that's not what the question was asking it's just asking for the equations for each one starting with the min x1+x2+x3 etc followed with nodes 1 through 7 with the same format please reassess the question and thank you I provided the model from the problem as an image If that helps.

3
3
2
5
11
4
7
3
7
5
4
3
6
7
③
Transcribed Image Text:3 3 2 5 11 4 7 3 7 5 4 3 6 7 ③
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