You need to take a trip by a car to another town that you 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. Table 3: Town Miles between Adjusted Towns с D E A B Destination Origin 40 60 50 . . A 10 . 70 B 20 55 40 с 50 D 10 60 E 80 i) Formulate a network model for his problem as a shortest path problem by drawing a network where nodes represent towns, links represents roads, and numbers indicate the length of each link in miles. ii) Use the network form in i) to find the shortest path from origin to the destination.

You need to take a trip by a car to another town that you 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. Table 3: Town Miles between Adjusted Towns с D E A B Destination Origin 40 60 50 . . A 10 . 70 B 20 55 40 с 50 D 10 60 E 80 i) Formulate a network model for his problem as a shortest path problem by drawing a network where nodes represent towns, links represents roads, and numbers indicate the length of each link in miles. ii) Use the network form in i) to find the shortest path from origin to the destination.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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