5) A college fraternity is electing a new president. Each of the 75 members ranked the candidates from first tothird. The preference table below shows the results of the ballots with candidates Darden (D), Moniz (M), andBlackwell (B).Number of Votes 14 10 34 17FirsttotalMD BDD MMMB BDBSecondThirdIf the Plurality with Elimination method is used to determine the winner, is the head-to-head criterionsatisfied?Sug

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Answered: 5) A college fraternity is electing a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Twenty−three members of the executive committee of the Student Senate must vote for a student representative for the college board of trustees from among three candidates: Greenburg (G), Haskins (H), and Vazquez (V). The preference table follows. Number of Votes 9 2 8 4 First V G H H Second G H V G Third H V G V Another way to determine the winner if the plurality with elimination method is used is to eliminate the candidate with the most last-place votes at each step. Using the preference table given to the left, determine the winner if the plurality with elimination method is used and the candidate with the most last-place votes is eliminated at each step. Choose the correct answer below. A. Haskins B. Greenburg C. Vazquez D. There is no winner. There is a tie between Vazquez and Greenburg. E. There is no winner. There is a three-way tie.
Twenty−one members of the executive committee of the Student Senate must vote for a student representative for the college board of trustees from among three candidates: Greenburg (G), Haskins (H), and Vazquez (V). The preference table follows. Number of Votes 8 2 7 4 First H V G G Second V G H V Third G H V H ..... Another way to determine the winner if the plurality with elimination method is used is to eliminate the candidate with the most last-place votes at each step. Using the preference table given to the left, determine the winner if the plurality with elimination method is used and the candidate with the most last-place votes is eliminated at each step. Choose the correct answer below. A. Greenburg B. Vazquez C. Haskins D. There is no winner. There is a tie between Haskins and Vazquez. E. There is no winner. There is a three-way tie.
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.
Suppose that the plurality with elimination method is used on the following preference table. If the 5 voters who voted A, C, B, in that order, change their votes to C, A, B, determine if the monotonicity criterion satisfied. Number of Votes 2 4 5 11 First A B A C Second B C C A Third C A B B Is the monotonicity criterion satisfied?
. The principal at Eisenstein Elementary School has just retired. The school board must hire a new princi- pal amongst the candidates Mrs. Anderson, Mr. Borda, Ms. Chapman, and Mr. Donald. After interview- ing the 4 finalists, each of the 11 school board members ranks the candidates. The preference schedule is below. a. 6 1st Choice A B 3 C C D D B A 28 2nd Choice B 3rd Choice с 4th Choice D Determine the plurality winner. Did that candidate receive the majority? A b. Determine the Condorcet winner. C. Determine the Borda count winner.
A campus club has money left over in its budget and must spend it beforethe school year ends. The members arrive at five different possibilities, and each memberranks them in order of preference. The results are shown in the table below. 1. Using the Plurality method, how should they spend the money? 2. Use Plurality with elimination. to know how the money should be spent? 3. Using Pairwise Comparison, how should they spend the money? 4. Using the Borda count method of voting, how should the money be spent?5. In your opinion, which of the previous three methods seems most appropriate in thissituation? Why?
In an election with 4 candidates, the 25 voters express the following preferences Number of Votes: 12 6 5 2 1st B A D B 2nd A D A D 3rd C C C A 4th D B B C Determine the winner according to Plurality with Elimination Group of answer choices A B C D

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