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. 1 3 3 11 6 3 5 6 3/ 3 4 7 +4x47 +9x56 +3x67 Develop the LP formulation for finding the shortest route from the warehouse to the supermarket. (Let X;; represent the flow from node i to node j.) Min 3x12 + 3x15 + 11x16 + 6x23 +5x34 + 3x46¯ X
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. 1 3 3 11 6 3 5 6 3/ 3 4 7 +4x47 +9x56 +3x67 Develop the LP formulation for finding the shortest route from the warehouse to the supermarket. (Let X;; represent the flow from node i to node j.) Min 3x12 + 3x15 + 11x16 + 6x23 +5x34 + 3x46¯ X
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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
Transcribed Image Text: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.
s.t.
Node 1 Flows
Node 2 Flows
Node 3 Flows
Node 4 Flows
Node 5 Flows
Node 6 Flows
1
Node 7 Flows
3
Develop the LP formulation for finding the shortest route from the warehouse to the supermarket. (Let x₁, represent the flow from node i to node j.)
+9x56 +
Min 3x12 + 3x15 + 11x16 + 6x23 + 5x34 + 3x46 +4x47
3
Xij > 0 for all i and j
11
*12+*15 +*16
*12*23
*23 + x34
x47+x46
= 1
6
X
*16*56 +46-67
*47 +x67
9
= 0
5
X
4
3
3x67
X
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