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6.15. You need to take a trip by car to another town that you have never visited before. Therefore. you are studying a map to determine the shortest route to your destination. Depending on which route you choose., there are five other them A. B. C. D. E) through which you might pass on the way. The map shows the mileage along each road that directly connects two towns without any intervening towns. These numbers are summarized in the following table, whe indicates that there is no road directly connecting these two towns without going through any other towns. Miles between Adjacent Towns Town A B Destination Origin 40 60 50 A 10 70 B 20 55 40 50 10 60 80 a. Formulate a network model for this problem as a shortest path problem by drawing a network where nodes represent towns, links represent roads, and numbers indicate the length of each link in miles.

6.15. You need to take a trip by car to another town that you have never visited before. Therefore. you are studying a map to determine the shortest route to your destination. Depending on which route you choose., there are five other them A. B. C. D. E) through which you might pass on the way. The map shows the mileage along each road that directly connects two towns without any intervening towns. These numbers are summarized in the following table, whe indicates that there is no road directly connecting these two towns without going through any other towns. Miles between Adjacent Towns Town A B Destination Origin 40 60 50 A 10 70 B 20 55 40 50 10 60 80 a. Formulate a network model for this problem as a shortest path problem by drawing a network where nodes represent towns, links represent roads, and numbers indicate the length of each link in miles.

Practical Management Science
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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**6.15.** You need to take a trip by car to another town that you have never visited before. Therefore, you are studying a map to determine the shortest route to your destination. Depending on which route you choose, there are five other towns (call them A, B, C, D, E) through which you might pass on the way. The map shows the mileage along each road that directly connects two towns without any intervening towns. These numbers are summarized in the following table, where a dash indicates that there is no road directly connecting these two towns without going through any other towns. ### Miles between Adjacent Towns | Town | A | B | C | D | E | Destination | |--------|----|----|----|----|----|-------------| | Origin | 40 | 60 | 50 | — | — | — | | A | 10 | — | 70 | — | — | — | | B | — | 20 | 55 | 40 | — | — | | C | — | — | — | 50 | — | — | | D | — | — | 10 | — | 60 | — | | E | — | — | — | — | — | 80 | **a.** Formulate a network model for this problem as a shortest path problem by drawing a network where nodes represent towns, links represent roads, and numbers indicate the length of each link in miles.
Transcribed Image Text:**6.15.** You need to take a trip by car to another town that you have never visited before. Therefore, you are studying a map to determine the shortest route to your destination. Depending on which route you choose, there are five other towns (call them A, B, C, D, E) through which you might pass on the way. The map shows the mileage along each road that directly connects two towns without any intervening towns. These numbers are summarized in the following table, where a dash indicates that there is no road directly connecting these two towns without going through any other towns. ### Miles between Adjacent Towns | Town | A | B | C | D | E | Destination | |--------|----|----|----|----|----|-------------| | Origin | 40 | 60 | 50 | — | — | — | | A | 10 | — | 70 | — | — | — | | B | — | 20 | 55 | 40 | — | — | | C | — | — | — | 50 | — | — | | D | — | — | 10 | — | 60 | — | | E | — | — | — | — | — | 80 | **a.** Formulate a network model for this problem as a shortest path problem by drawing a network where nodes represent towns, links represent roads, and numbers indicate the length of each link in miles.
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