Using the preference schedule below, who would win the elections if the Borda Count Method is used? Assume 1st choice = 4pts, 2ndchoice = 3pts, 3rd choice = 2 pts and 4th choice = 1 pt.No. of voters14108411st choiceAbbyCedDoraBenCed2nd choice3rd choiceBenBenCedDoraDoraCedDoraBenCedBen4th choiceDoraAbbyAbbyAbbyAbbyO a.AbbyO b. BenОс.DoraO d. Ced

Borda count method is one of the method used to find the winner in an election. Here each candidate…

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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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
Using the preference schedule below, who would win the elections if simple plurality is used? No. of voters 1st choice 14 10 8 4 1 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 O b. Ced О с. Ben O d. Dora
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
7)
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.…
Ten voters are asked to rank 4 brands of cell phones: A, B, C, and D. The ten voters turn in the following ballots showing their preferences in order A B B BA B B B BA AB BCA C с DACA CD D D D D D C D D Second Which of the following preference tables correctly shows the results of the voting? Select one: O a. Number of Votes 2 2 First A B Third Fourth A C в BACA CCAD D Second O b. Number of Votes 2 2 First A B A Third D C 1 B A D C 1 B A D A 1 B с D A B C Fourth D D C O c. None of these is correct. d. Number of Votes 2 2 First D 2 A 2 C C 2 3 B C A D 3 B с A D 3 B D с C
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Use the Condorcet method to determine the winner of the election. Four students are running for president of the school: • Ariana (A), • Brett (B), • • DeeDee (D). The 5 clubs and their members were asked to rank all candidates. Number of Voters 19 15 Carlos (C), and σ O O O O n d A B с D 11 7 2 Preference Order 1st to last с D B с с D A A A A C D D A с D B olmalı B B B
The members of Math Club are to choose a representative among four candidates, M, A, T, H. The following table shows the result of the election. Number of votes 18 12 2 First Choice H A H Second Choice A H A M Third Choice A M H T H Fourth Choice H A М М A 1. How many voters choose A as their first choice? 2. Who won the election by plurality?

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