First Profile Second Profile # of # of Ranking Ranking A 22-member committee is selecting a site for its next meeting. The choices are City A, City B, City C, and City D. Voters Voters C>D>B>A 6. 7. 7. C>D>B>A A>B>D>C A>B>C>D C>A>D>8 A>B>D>C A>B>C>D 4. D>C>B>A (a) The committee members decide to use the pairwise comparison method to select a site in a nonbinding decision. Prior to any discussion, the 22 members rank the choices according to the first voter profile above. Show that City C is selected by the pairwise comparison method in the preliminary nonbinding decision. Complete the table below to demonstrate this. City A B. D Pairwise Comparison Points (Type integers or decimals.) (b) The 4 committee members with the bottom ranking in the table rearrange their ranking after listening to the discussions. The other 18 committee members stick with their original rankings of the cities. For the official vote, the 22 members rank the choices according to the second voter profile above. Using the pairwise comparison method, the site selection of the city is (c) Does the pairwise comparison method violate the monotonicity criterion in this selection process? No Yes

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
First Profile
# of
Voters
C>D>B>A
A>B>D>C
Second Profile
Ranking
#of
Ranking
A 22-member committee is selecting a site for its next meeting. The choices are City A, City B,
City C, and City D.
Voters
7
C>D>B>A
A>B>D>C
A>B>C>D
C>A>D>8
6.
5
A>B>C>D
5
4
D>C>B>A
4
(a) The committee members decide to use the pairwise comparison method to select a site in a nonbinding decision. Prior to any discussion, the 22 members rank the
choices according to the first voter profile above. Show that City C is selected by the pairwise comparison method in the preliminary nonbinding decision. Complete the
table below to demonstrate this.
City
A.
Pairwise Comparison Points O
(Type integers or decimals.)
(b) The 4 committee members with the bottom ranking in the table rearrange their ranking after listening to the discussions. The other 18 committee members stick with
their original rankings of the cities. For the official vote, the 22 members rank the choices according to the second voter profile above. Using the pairwise comparison
method, the site selection of the city is
(c) Does the pairwise comparison method violate the monotonicity criterion in this selection process?
No
Yes
O Time Remaining: 01:51:40
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Transcribed Image Text:First Profile # of Voters C>D>B>A A>B>D>C Second Profile Ranking #of Ranking A 22-member committee is selecting a site for its next meeting. The choices are City A, City B, City C, and City D. Voters 7 C>D>B>A A>B>D>C A>B>C>D C>A>D>8 6. 5 A>B>C>D 5 4 D>C>B>A 4 (a) The committee members decide to use the pairwise comparison method to select a site in a nonbinding decision. Prior to any discussion, the 22 members rank the choices according to the first voter profile above. Show that City C is selected by the pairwise comparison method in the preliminary nonbinding decision. Complete the table below to demonstrate this. City A. Pairwise Comparison Points O (Type integers or decimals.) (b) The 4 committee members with the bottom ranking in the table rearrange their ranking after listening to the discussions. The other 18 committee members stick with their original rankings of the cities. For the official vote, the 22 members rank the choices according to the second voter profile above. Using the pairwise comparison method, the site selection of the city is (c) Does the pairwise comparison method violate the monotonicity criterion in this selection process? No Yes O Time Remaining: 01:51:40 Next
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