Thirteen members of the executive committee of the Student Senate must vote for a student representative for the college board of trustees from among threecandidates: Greenburg (G), Haskins (H), and Vazquez (V). The preference table follows. Determine the winner using the Borda count method.Number of Votes24FirstGVVSecondThirdHVHVGHGA. There is no winner. There is a tie between Greenburg and Vazquez.B. VazquezOC. GreenburgO D. HaskinsO O O O

Given: The preference table for the candidates Greenburg (G), Haskins (H) and Vazques (V) To…

Answered: Thirteen members of the executive…

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
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 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
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
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
An organization with branches across the Northeast is trying to decide where it should hold its annual employee picnic. Each branch ranks the locations of Augusta, ME; Boston, MA; and Erie, PA, and the following preference schedule is created: Number of Votes 36 24 19 16 13 1st Choice Erie Augusta Boston Augusta Boston 2nd Choice Augusta Erie Erie Boston Augusta 3rd Choice Boston Boston Augusta Erie Erie The organization has chosen to use the Borda Count method to determine which city they will hold their picnic in. Where will the organization’s picnic be held? Make sure to include an explanation along with your answer.
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)
The university administration has asked a group of student leaders to vote on the aspects of college life to target for improvement over the next year. The choices were (H)ousing, (L)ibrary, (T)heater, and (F)itness center. The votes are summarized in the preference table. What option is selected using the plurality method? O A. Library B. Theater C. Fitness center O D. Housing ... Number of Ballots Preference 13 26 19 10 2 1st 2nd 3rd 4th T L HHT LT LFL HHFTF F F T LH

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