Using the preference schedule below, who would win the elections if simple plurality is used?No. of voters14104.1st choice2nd choice3rd choiceAbbyBenCedDoraBenCedBenCedDoraDoraCedDoraBenCedBen4th choiceDoraAbbyAbbyAbbyAbbyO a. AbbyO b. BenO c. CedO d. DoraJump to...

Plurality Method In this method, the choice with the most first-preference votes is declared the…

Answered: Using the preference schedule below,…

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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Using the preference schedule below, who would win the elections if the Borda Count Method is used? Assume 1st choice = 4pts, 2nd choice = 3pts, 3rd choice = 2 pts and 4th choice =1 pt. No. of voters 14 10 8 4 1 1st choice Abby Ced Dora Ben Ced 2nd choice Ben Ben Ced Dora Dora 3rd choice Ced Dora Ben Ced Ben 4th choice Dora Abby Abby Abby Abby O a. Ced O b. Abby О с. Dora Ben
Using the preference schedule below, who would win the method of Pairwise Comparison is used? No. of voters 14 10 8. 4 1 1st choice Abby Ced Dora Ben Ced 2nd choice Ben Ben Ced Dora Dora 3rd choice Ced Dora Ben Ced Ben 4th choice Dora Abby Abby Abby Abby O a. Abby Оb. Вen C. Dora O d. Ced
To decide on a new website design, the designer asks people to rank three designs that have been created (labeled A, B, and C). The individual ballots are shown below. Create a preference table.ABC, ABC, ACB, BAC, BCA, BCA, ACB, CAB, CAB, BCA, ACB, ABC
Refer to the following preference schedule to answer parts (a) – (i). a. How many votes were cast? _________ b. How many votes are needed to receive a majority? ________ c. Find the plurality winner: _________Show work to support the selection process. d. Did the plurality winner also receive a majority? _________. e. Find the winner by a single runoff of the top two candidates: ________Show work to support the selection process below. f. Find the winner by a sequential runoff: ________Show work to support the selection process. g. Find the winner by a Borda count: ________Show work to support the selection process. h. Find the winner, if any, by the method of pairwise comparisons: ________Show work to support the selection process i. From the results of (a)-(h) is there a clear winner? Explain.
The theater society members are voting for the kind of play they will perform next semester; a comedy (C), a drama (D), or a musical (M). Their votes are summarized in the following preference table. Which type of play is selected using the pairwise comparison method? Number of Votes 20 12 8 3 1 First Choice M C D C Second Choice C M C M D Third Choice M C comedy Tie between musical and drama drama musical Σ
Using the preference schedule below, who would win the method of Pairwise Comparison is used? No. of voters 14 10 8. 4 1 1st choice Abby Ced Dora Ben Ced 2nd choice Ben Ben Ced Dora Dora 3rd choice Ced Dora Ben Ced Ben 4th choice Dora Abby Abby Abby Abby O a. Dora O b. Abby Ос. Ced O d. Ben
110 voters are asked to rank four brands of cereal: A, B, C, and D. The votes are summarized in the preference table shown below. Determine the winner using the plurality-with-elimination method. Number of Votes First Choice Second Choice Third Choice Fourth Choice 42 35 20 13 В A A B A A В В D O o o C
4. DETAILS CRAUDQL3 8.2.TB.042. The vote tally of ranked ballots for a slate of four candidates is as follows. Rank 2 Voters 2 Voters 3 Voters 2 Voters 2 Voters First Choice A D D. Second Choice D B A A Third Choice A A D. Fourth Choice B B B. B Who wins an elimination runoff? B A C. O O O
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.…
4. DETAILS CRAUDQL3 8.2.TB.042. The vote tally of ranked ballots for a slate of four candidates is as follows. Rank 2 Voters 2 Voters 3 Voters 2 Voters 2 Voters First Choice A D. Second Choice A A Third Choice D. Fourth Choice B B. B B Who wins an elimination runoff? D A.

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Using the preference schedule below, who would win the elections if simple plurality is used? No. of voters 14 Abby Ben 10 8. 4. 1. 1st choice 2nd choice 3rd choice 4th choice Ced Dora Ben Ced Ben Ced Dora Dora Ced Dora Ben Ced Ben Dora Abby Abby Abby Abby O a. Abby O b. Ben O c. Ced O d. Dora