Grey Construction would like to determine the least expensive way of connecting houses it is building with cable TV. It has identified 11 possible branches or routes that could be used to connect the houses. The cost in hundreds of dollars and the branches are summarized in the following table. (a) What is the least expensive way to run cable to the houses?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.5: Shortest Path Models
Problem 31P
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9-39. Grey Construction would like to determine the least
expensive way of connecting houses it is building
with cable TV. It has identified 11 possible branches
or routes that could be used to connect the houses.
The cost in hundreds of dollars and the branches are
summarized in the following table.
(a) What is the least expensive way to run cable to
the houses?

 

START
END
COST
BRANCH
NODE
NODE
($100s)
Branch 1
1
2
5
Branch 2
1
3
6.
Branch 3
1
4
6.
Branch 4
1
5
Branch 5
7
Branch 6
3
7
5
Branch 7
4
7
7
Branch 8
5
4
Branch 9
6
7
1
Branch 10
7
9.
6.
Branch 11
8
9.
2
Transcribed Image Text:START END COST BRANCH NODE NODE ($100s) Branch 1 1 2 5 Branch 2 1 3 6. Branch 3 1 4 6. Branch 4 1 5 Branch 5 7 Branch 6 3 7 5 Branch 7 4 7 7 Branch 8 5 4 Branch 9 6 7 1 Branch 10 7 9. 6. Branch 11 8 9. 2
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