The Mathematics Department is holdingan election for department chair. Eachmember ranks the candidates from firstto third. The preference table belowshows the results of the ballots withcandidates Clark (C), Jones (J), andSmith (S).Number of Votes 7 10 4 8FirstJSJCSecondSJC SThirdCCS JDetermine the winner using the pluralitywith elimination method. Did the winnerreceive a majority of the first place votesusing the plurality with eliminationmethod?Select one:a. Smith; YesO b.Clark; NoO c.Jones; NoO d.Jones; YesOe.Smith; NoO f. Clark; Yes

The objective is to determine the winner using plurality with elimination method where the…

Answered: The Mathematics Department is holding…

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 following election. This is the same table as above. Number of Voters 16 11 12 4 1st Choice B D A B 2nd Choice A A D D 3rd Choice D B C C 4th Choice C C B A Using the Plurality with the Elimination Method, the winner of the election is Group of answer choices D C B A
A senior high school class held an election for class president. Instead of just voting for one candidate, the students were asked to rank all four candidates in order of preference. The results are shown below. Rankings Raymond Lee 2 3 1 3 4 2 Suzanne Brewer 4 1 3 4 1 3 Elaine Garcia 1 2 2 2 3 4 Michael Turley 3 4 4 1 2 1 Number of votes: 38 52 40 26 30 45 Using the Borda count method, does the winner satisfy the majority criterion? Yes. Using the Borda count method, Elaine Garcia won the election, and she had a majority of first-place votes .Yes. Using the Borda count method, Raymond Lee won the election, and he had a majority of first-place votes. No. Using the Borda count method, Raymond Lee won the election, although Elaine Garcia had a majority of first-place votes. No. Using the Borda count method, Elaine Garcia won the election, although no candidate received a majority of first-place votes. No. Using the Borda count method, Raymond Lee won the election,…
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?
The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). Number of Votes 7 10 4 8 First Second Third JSJ C SJC S CCS J Determine the winner using the Borda count method. Did the winner receive a majority of the first place votes using the Borda count method? Select one: a. Smith; No O b. Smith; Yes O c. Jones; No d. Clark; Yes e. Jones; Yes O f. Clark; No
Three candidates-Allred, Stiggins, and Mercer-ran for a seat on the city council. Polls indicate that the preference rankings and approvals of the candidates from the voters were as follows: Percentage of Voters 21 Allred Stiggins Mercer 15 32 3X 1 X 2 X 8 24 1 1 X 2 3 2X 1X 3 3 2 X 1X Who is the winner using the Approval method? (Show vote totals)
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
Consider the following election. Number of Voters 16 11 12 4 1st Choice B D A B 2nd Choice A A D D 3rd Choice D B C C 4th Choice C C B A Using the Plurality Method, the winner of the election is Group of answer choices C D A B
7)
Consider the preference schedule (below) for an election. (a) Determine the winner using the plurality method. (b) Determine the winner using sequential runoff. First D A B C B Second C B A D C Third A C C A D Fourth B D D B A Votes 31 26 22 15 8
A football team needs to select a captain from among four players-Steel, Griffin, Pollard, and Driggs. The preference rankings for the team are as follows: # of votes 12 5 8 1 10 3 2 Steel 1 1 2 4 2 2 Griffin 2 3 1 1 1 4 4 Pollard 3 2 3 4 2 1 3 Driggs 4 4 4 2 3 3 1 A) What are the vote totals using the Plurality method? B) Who would win using Plurality with a Runoff between the top two finishers? (Show both vote totals)

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