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A soup company is selecting a spokesperson for its advertisements from candidates B, S, and P. A straw vote is taken to gauge the reactions to the candidates. The results are given in the following preference table. Number of Votes First Second Third 26 21 16 P B S 8 S B B P S P B P S After discussion, six people who had supported candidate B over candidate P switch their preferences, leading to the following preference table. Number of Votes 32 21 16 2 First P S Second B P Third S Use the preference tables to answer parts a through c. B B P S B P S a. Using the plurality with elimination method, which person is selected from the first (or straw) vote? Candidate P Candidate S O Candidate B 0000 OA tie between candidates B and P b. Using the plurality with elimination method, which person is selected from the second vote? 1000 Candidate S Candidate B Candidate P O c. Does this second result violate the monotonicity criterion? O O A tie between candidates S and P No Yes

A soup company is selecting a spokesperson for its advertisements from candidates B, S, and P. A straw vote is taken to gauge the reactions to the candidates. The results are given in the following preference table. Number of Votes First Second Third 26 21 16 P B S 8 S B B P S P B P S After discussion, six people who had supported candidate B over candidate P switch their preferences, leading to the following preference table. Number of Votes 32 21 16 2 First P S Second B P Third S Use the preference tables to answer parts a through c. B B P S B P S a. Using the plurality with elimination method, which person is selected from the first (or straw) vote? Candidate P Candidate S O Candidate B 0000 OA tie between candidates B and P b. Using the plurality with elimination method, which person is selected from the second vote? 1000 Candidate S Candidate B Candidate P O c. Does this second result violate the monotonicity criterion? O O A tie between candidates S and P No Yes

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A soup company is selecting a spokesperson for its advertisements from candidates B, S, and P. A straw vote is taken to gauge the reactions to the candidates. The results are given in the following preference table. Number of Votes First Second Third 26 P B S 21 16 8 S B B P S P B P S After discussion, six people who had supported candidate B over candidate P switch their preferences, leading to the following preference table. 32 P B S Number of Votes 21 16 2 First S B B Second P S P Third B P S Use the preference tables to answer parts a through c. a. Using the plurality with elimination method, which person is selected from the first (or straw) vote? O b. Using the plurality with elimination method, which person is selected from the second vote? 000 0 Candidate P Candidate S Candidate B A tie between candidates B and P O O Candidate S Candidate B Candidate P A tie between candidates S and P c. Does this second result violate the monotonicity criterion? No Yes
Transcribed Image Text:A soup company is selecting a spokesperson for its advertisements from candidates B, S, and P. A straw vote is taken to gauge the reactions to the candidates. The results are given in the following preference table. Number of Votes First Second Third 26 P B S 21 16 8 S B B P S P B P S After discussion, six people who had supported candidate B over candidate P switch their preferences, leading to the following preference table. 32 P B S Number of Votes 21 16 2 First S B B Second P S P Third B P S Use the preference tables to answer parts a through c. a. Using the plurality with elimination method, which person is selected from the first (or straw) vote? O b. Using the plurality with elimination method, which person is selected from the second vote? 000 0 Candidate P Candidate S Candidate B A tie between candidates B and P O O Candidate S Candidate B Candidate P A tie between candidates S and P c. Does this second result violate the monotonicity criterion? No Yes
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