Four students are running for president of the Let's-Talk-Politics Club, Ann (A), Barbara (B), Charlie (C), and Devon (D).The preference ballots for the four candidates are shown.BDCACBDACBADABCDFill in the number of votes in the first row of the given preference table.CBDAABCDNumber of Votes☐☐☐First ChoiceBSecond ChoiceThird ChoiceFourth Choice(Type whole numbers.)AB. DDсCC DABACBADCBADBDCAABCDCBDABDCACBDA

Answered: Image /qna-images/answer/412e5a74-640f-4fa3-8965-8a15df4e297c.jpg

Answered: Four students are running for president…

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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Consider the scenario of three candidates, A, B, and C, who are running for president of the student council. Determine the winner using the plurality-with- elimination method. Number of Votes 50 65 60 First Choice A В C Second Choice B C A Third Choice C A The winner is [answer1] B O A
6
Employees at the Me, My Mop and I cleaning service are choosing a new company logo. The choices are a mop (M), a broom and dustpan (B), and a vacuum cleaner (V). Each employee ranks the three choices from first to third. The preference table below shows the results of the ballots. Number of Votes 15 11 10 14 7 20 First M V V B В Second V В V M Third B B M M V V Determine the winner using the plurality method. O A. mop O B. vacuum C. broom and dustpan
Candidates A, B, C, and D are competing to win an award. There are 5 voters in this election. The chart below shows the preference schedule. Voter 1 1st choice A 2nd choice B 3rd choice C 4th choice D Voter 2 B C D A Voter 3 C B D A Voter 4 D B C A Voter 5 A D C B 6. With the previous example, what is the outcome if you use the Borda count method?
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
Head-to-Head Criterion and Plurality with Elimination Below are 4 candidates and the result from an election. Find the winner using the pairwise method and determine if the winner is also the Condorcet winner. Determine if the plurality with elimination method violates the head-to-head criterion. Number of Votes 20 16 12 6 1st choice A C D В 2nd choice B B C D 3rd choice C D B 4th choice D A A A 1. How many votes are needed to win the majority? Below are all of the different head-to-head possibilities. Fill in the chart. 20 16 12 6 Winner in Head-to-Head A vs B A vs C A vs D B vs C B vs D C vs D 2. Who is the head-to-head winner? How does the candidate win the head-to-head? 3. Is there a majority from the start? 4. Determine the winner using the plurality with elimination method. The candidate who gets eliminated is The number of votes the candidate received are: 5. What does the chart look like now? Fill in the chart below. Number of Votes 20 16 12 6 1st choice 2nd choice 3rd choice…
Solve the problem. 6) A condominium association is holding an election for president of the board of directors. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Abbott (A), Blake (B), Cleary (C), and Downs (D). Number of Votes 3 6 5 8 7 4 6 6 4 First ABAACBDC C Second CABCDDBBA B C C DAA ADD DDDB B CCAB Third Fourth If the plurality method if used to determine the winner and Downs drops out, is the irrelevant alternatives criterion satisfied?
Answer math questions
Four candidates, Harrison (H), Lennon (L), McCartney (M), and Starr (S), are running for regional manager. After the polls close, ranked ballots are tallied, and the results are summarized in the table. Use the plurality method of voting to determine the winner. Harrison Lennon McCartney Starr Number of Ballots Cast 45 95 24 91 30 13 18 1st choice H L L M M S S 2nd choice L M S L L H M 3rd choice S H M H S L H 4th choice M S H S H M L

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