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 | Voter 2 | Voter 3 | Voter 4 | Voter 5 ||---------|---------|---------|---------|---------|---------|| 1st choice | A | B | C | D | A || 2nd choice | B | C | B | B | D || 3rd choice | C | D | D | C | C || 4th choice | D | A | A | A | B |6. With the previous example, what is the outcome if you use the Borda count method?### Explanation of the Borda Count Method:The Borda count method assigns points to each rank, with the top choice receiving the most points and descending in order. For example, if there are 4 candidates, the first choice receives 3 points, the second choice 2 points, the third choice 1 point, and the last choice 0 points.To calculate the total points for each candidate:- **Candidate A** - 1st choice: 2 votes x 3 points = 6 points - 2nd choice: 0 votes x 2 points = 0 points - 3rd choice: 0 votes x 1 point = 0 points - 4th choice: 3 votes x 0 points = 0 points - **Total points: 6**- **Candidate B** - 1st choice: 1 vote x 3 points = 3 points - 2nd choice: 3 votes x 2 points = 6 points - 3rd choice: 0 votes x 1 point = 0 points - 4th choice: 1 vote x 0 points = 0 points - **Total points: 9**- **Candidate C** - 1st choice: 1 vote x 3 points = 3 points - 2nd choice: 0 votes x 2 points = 0 points - 3rd choice: 3 votes x 1 point =

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 B BC 2nd choice 3rd choice C 4th choice D Voter 2 Voter 3 Voter 4 B C B D A D A 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?

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 B BC 2nd choice 3rd choice C 4th choice D Voter 2 Voter 3 Voter 4 B C B D A D A 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?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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
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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 Voter 3 B C C B D D A A Voter 4 D B C A Voter 5 A D C B 8. Consider the following fairness criterion: If a majority of the voters have candidate X ranked last, then candidate X should not be a winner of the election. (a) Give an example to show that the plurality method violates this criterion. (b) Give an example to show that the plurality with elimination method violates this crite- rion.