The given table shows the preference schedule for an election with four candidates (A, B, C, and D). Use the method of pairwise comparisons to solve parts a and b.Number of Voters10311st2nd3rd4thDCAADBBBCAABCDAACBCaj Fina ine winner or tne eiecuon.CandidateV is the winner of the election.(b) Find the complete ranking of the candidates. Choose the correct answer below.C, A, D, BD, B, C, AD, B, A, Cов, С, А, DClick to select your answer.MacBook Air20000F1F2F3F4F6F8F9F10$%34578969O O O O

The given data is: Number of voters 10 5 3 2 1 1 1 1st D C A A D D D 2nd B B B C A A B 3rd C D D D C B A 4th A A C B B C C where A,B,C and D represents the candidates.Method of pairwise comparison This method compares each pair of candidates. Use the number of votes to determine who is preferred between the two candidates. Award 1 point to the most preferred candidate between the two candidates. In the same way compare every candidates with every candidates. The candidate who got more number of points is the winner.Compare the candidates A and B: Number of voters 10 5 3 2 1 1 1 1st D C A A D D D 2nd B B B C A A B 3rd C D D D C B A 4th A A C B B C C In the first column, 10 voters prefer B than A, in second column 5 voters prefer B than A, in the third column 3 voters prefer A than B. In the same way continue for each columns. The number of voters who prefer A than B is 3+2+1+1=7. The number of voters who prefer B than A is 10+5+1=16. B wins. Award 1 point to B.Compare the candidates A and C: Number of voters 10 5 3 2 1 1 1 1st D C A A D D D 2nd B B B C A A B 3rd C D D D C B A 4th A A C B B C C The number of voters who prefer A than C is 3+2+1+1+1=8. The number of voters who prefer C than A is 10+5=15. C wins. Award 1 point to C.Compare the candidates A and D: Number of voters 10 5 3 2 1 1 1 1st D C A A D D D 2nd B B B C A A B 3rd C D D D C B A 4th A A C B B C C The number of voters who prefer A than D is 3+2=5. The number of voters who prefer D than A is 10+5+1+1+1=13. D wins. Award 1 point to D.Compare the candidates B and C: Number of voters 10 5 3 2 1 1 1 1st D C A A D D D 2nd B B B C A A B 3rd C D D D C B A 4th A A C B B C C The number of voters who prefer B than C is 10+3+1+1=15. The number of voters who prefer C than B is 5+2+1=8. B wins. Award 1 point to B. The total points of B is 2.Compare the candidate B and D: Number of voters 10 5 3 2 1 1 1 1st D C A A D D D 2nd B B B C A A B 3rd C D D D C B A 4th A A C B B C C The number of voters who prefer B than D is 5+3=8. The number of voters who prefer D than B is 10+2+1+1+1=15. D wins. Award 1 point to D. The total points of D is 2.Compare C and D: Number of voters 10 5 3 2 1 1 1 1st D C A A D D D 2nd B B B C A A B 3rd C D D D C B A 4th A A C B B C C The number of voters who prefer C than D is 5+2=7. The number of voters who prefer D than C is 10+3+1+1+1=16. D wins. Award 1 point to D. The total points of D is 3.The total points of A is: 0 The total points of B is: 2 The total points of C is: 1 The total point of D is: 3 Hence, D is the winner of the election. The ranking of the candidates (from 1 to 4) is: D, B, C, A a) Candidate D is the winner of the election b) The ranking of the candidates is D, B, C, A

Math

Advanced Math

The given table shows the preference schedule for an election with four candidates (A, B, C, and D). Use the method of pairwise comparisons to solve parts a and b. Number of Voters 10 3 2 1 1 1 1st C A 2nd C A B 3rd C D C A 4th A C B C aj Fina tne winner or une eiecuon. Candidate is the winner of the election. (b) Find the complete ranking of the candidates. Choose the correct answer below. C, A, D, B O D, В, С, А O D, В, А, С о В,С, А, D Click to select your answer.

The given table shows the preference schedule for an election with four candidates (A, B, C, and D). Use the method of pairwise comparisons to solve parts a and b. Number of Voters 10 3 2 1 1 1 1st C A 2nd C A B 3rd C D C A 4th A C B C aj Fina tne winner or une eiecuon. Candidate is the winner of the election. (b) Find the complete ranking of the candidates. Choose the correct answer below. C, A, D, B O D, В, С, А O D, В, А, С о В,С, А, D Click to select your answer.

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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Question

The given table shows the preference schedule for an election with four candidates (A, B, C, and D). Use the method of pairwise comparisons to solve parts a and b.
Number of Voters
10
3
1
1st
2nd
3rd
4th
D
C
A
A
D
B
B
B
C
A
A
B
C
D
A
A
C
B
C
aj Fina ine winner or tne eiecuon.
Candidate
V is the winner of the election.
(b) Find the complete ranking of the candidates. Choose the correct answer below.
C, A, D, B
D, B, C, A
D, B, A, C
ов, С, А, D
Click to select your answer.
MacBook Air
20
000
F1
F2
F3
F4
F6
F8
F9
F10
$
%
3
4
5
7
8
9
69
O O O O

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