Answered: In a three candidate race that is…

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 campus club needs to elect four officers: a president, a vice president, a secretary, and a treasurer. The club has five volunteers. Rather than vote individually for each position, the club members will rank the candidates in order of preference. The votes will then be tallied using the Borda Count method. The candidate receiving the highest number of points will be president, the candidate receiving the next highest number of points is vice president, the candidate receiving the next highest number of points is secretary, and the candidate receiving the next highest number of points will be treasurer. Rankings Cynthia 4 2 5 2 3 Andrew 2 3 1 4 5 Jen 5 1 2 3 2 Hector 1 5 4 1 4 Medin 3 4 3 5 1 Number of votes: 9 12 25 24 23 For the preference schedule shown, determine who wins each position in the club. president vice president secretary treasurer
Three people are running for president in a certain school organization. If there are 508 voters, what is the minimum number of votes for someone to win?
Consider an election with three candidates with the results: (CBA) (ACB) (BAC) (BCA) 2 ,8, 7, 2 Who wins the election using the Borda count method?
In a class election with 11 students and 3 candidates, how many different vote outcomes are possible? The 3 candidates do not vote, so the vote total will be 8. Consider them to be blind ballots, so only the total count for each candidate is known.
Determines who wins the plurality vote and who wins the rank voting or preferential voting method in the election. 1. There are 650 students in a school, and they all get to vote for the school president. There are 3 candidates: Rios, • Millie, • Charles. Each student will receive a ballot and they will rank the candidates in or of 1", 2nd, and 3rd choice. Remember on the preferential vote the winning candidate must have 1 more than half the votes. See the results of the election below. Votes 225 175 250 225 1¹ Millie Charles Rios 250 and a. The person who has the largest number of first place votes is b. The person who has the fewest number of first place votes is c. The candidate we eliminate is d. Fill in the new table. 1 Charles Millie Millie Rios Rios Charles 2rd Is there a majority of votes for a candidate now? If yes, who is that candidate, and how many the first place votes does that candidate have? f. Who won the plurality vote or single candidate voting method? Explain how…
Ques 46, 47 and 48 are three subparts.
Consider the scenario of three candidates, A, B, and C, who are running for president of the student council. Determine the winner using the Borda count method. Number of Votes 50 65 60 First Choice ACC Second Choice BBA Third Choice CAB The winner is The winner received points.
There is a reunion of 25 years being held for old classmates. The large group is trying to pick who will play at the reunion for them. Their options are Reo (R), Boston (B), Journey (J), and Fleet (F). 1. Who is picked if Borda Count is used? 2. Who gets picked if Pairwise comparison is used? 3. If plurality method is used, who gets picked?
What is a weighted voting system?
Mr. Abdul Rheman's class held an election for class president. Instead of just voting for one candidate, students need to rank all the candidates according to their preference. The results are shown below: Rankings 2 1 2 3 1 Y 2 1 2 3 1 3 1 3 1 2 2 Number of 8 7 7 8 6. 7 Students Number of Votes for the Winner by Plurality.

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In a three candidate race that is decided using the plurality method what is the fewest votes that the winner could get if there were 40 votes cast? Explain.