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The next diagram depicts a system of aqueducts that originate at three rivers (nodes R1, R2, and R3) and terminate at a major city (node T), where the other nodes are junction points in the system. From R1 R2 R3 R1 R2 To R3 A A B C C 130 115 70 90 110 140 120 B Using units of thousands of acre feet, the tables below show the maximum amount of water that can be pumped through each aqueduct per day. From A B C D To E F DE F 110 85 130 95 85 130 160 T D E F To From T 220 330 240 The city water manager wants to determine a flow plan that will maximize the flow of water to the city. a) Formulate this problem as a maximum flow problem by identifying a source, a sink, and the transshipment nodes, and then drawing the complete network that shows the capacity of each arc.

The next diagram depicts a system of aqueducts that originate at three rivers (nodes R1, R2, and R3) and terminate at a major city (node T), where the other nodes are junction points in the system. From R1 R2 R3 R1 R2 To R3 A A B C C 130 115 70 90 110 140 120 B Using units of thousands of acre feet, the tables below show the maximum amount of water that can be pumped through each aqueduct per day. From A B C D To E F DE F 110 85 130 95 85 130 160 T D E F To From T 220 330 240 The city water manager wants to determine a flow plan that will maximize the flow of water to the city. a) Formulate this problem as a maximum flow problem by identifying a source, a sink, and the transshipment nodes, and then drawing the complete network that shows the capacity of each arc.

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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The next diagram depicts a system of aqueducts that originate at three rivers (nodes R1, R2, and R3) and terminate at a major city (node T), where the other nodes are junction points in the system. From R1 R2 R3 R1 R2 Το R3 A B Using units of thousands of acre feet, the tables below show the maximum amount of water that can be pumped through each aqueduct per day. To D ABC From 130 115 - A 70 90 110 B 140 120 C E F T DEF DEF From D 110 85 - 130 95 85 130 160 F To T 220 330 240 The city water manager wants to determine a flow plan that will maximize the flow of water to the city. a) Formulate this problem as a maximum flow problem by identifying a source, a sink, and the transshipment nodes, and then drawing the complete network that shows the capacity of each arc.
Transcribed Image Text:The next diagram depicts a system of aqueducts that originate at three rivers (nodes R1, R2, and R3) and terminate at a major city (node T), where the other nodes are junction points in the system. From R1 R2 R3 R1 R2 Το R3 A B Using units of thousands of acre feet, the tables below show the maximum amount of water that can be pumped through each aqueduct per day. To D ABC From 130 115 - A 70 90 110 B 140 120 C E F T DEF DEF From D 110 85 - 130 95 85 130 160 F To T 220 330 240 The city water manager wants to determine a flow plan that will maximize the flow of water to the city. a) Formulate this problem as a maximum flow problem by identifying a source, a sink, and the transshipment nodes, and then drawing the complete network that shows the capacity of each arc.
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