The preference table for an election is given. Suppose that the Borda count methodis used on the table. Is the majority criterion satisfied?Is the majority criterion satisfied?Yes. The candidate who received the majority of first-place voteswon the election.Yes. The candidate who received the majority of first-place voteslost the election.Number of Votes 70 56 35 14DCCA1st Choice2nd ChoiceA|A|B|BBBDD3rd Choice4th ChoiceCDACNo. The candidate who received the majority of first-place voteslost the election.No. The winner of the election received the majority of votes.

Answered: Image /qna-images/answer/b34d7333-eee0-4ecc-94a6-f22c03a0d963.jpg

Answered: The preference table for an election is…

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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F959 - QUESTION 4. BORDA COUNT. The animals get sick and tired of having the Lion be the King of the Jungle, and they overthrow the Lion and hold an election for President of the Jungle. The candidates an the Zebra, the Elephant, the Baboon and the Hyena, and there are 67 voters. The 67 preference lists fall into 6 categories, as summarized below. Using the Borda count method, show the results of the election. 15 Zebra 13 Baboon 12 Zebra 10 Elephant Elephant Hyena 4₂15760 4•13=524.12 48 4.10€ 40 4x936 4×8=33 Hyena Hyena Baboon Hyena Elephant 3-15-45 3-13-39 3·12-30 3·10-30 3x9-27) 3x 8-24 Baboon Zebra Baboon Elephant 1.13 €13/1•12= 12 1·10 = (10) 9 Baboon Zebra Hyena Elephant Elephant Zebra 215- (30) 2.13 (24) 2-12 (24) 2·10 -(20) 2×9=182x8=16) Baboon Zebra 1.15-(15 Hyena 8 1x9 ✓9-9 1x8=8
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hree-Way Race Preference Schedule. Consider a three-way race between candidates called A, B, C. Make a preference schedule for the following results: 22 voters rank the candidates in the order (first choice to last choice) A, B, C. 20 voters rank the candidates in the order C, B, A. 16 voters rank the candidates in the order B, C, A. 8 voters rank the candidates in the order C, A, B. The answers are in the attached table.
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1/outline/file/44889344 1 O 6. a. Explain what the majority criterion states. b. In problem #2, which candidate did you determine to be the winner using the Borda count method? Has the majority criterion been violated? Why or why not? Explain clearly by stating in complete sentences. c. In a school election, there were 3 candidates: Aiden, Kyle and Brandon. The preference table is given below. Number of voters 18 17 21 28 K A K A A В' B K B K A B 1st Choice 2ND Choice 3rd Choice The winner of this election using the Borda count is Aiden (work is not shown for this). Has the majority criterion been violated? Why or why not? Explain clearly by stating your answer in complete sentences. 7. a. Explain what the monotonicity criterion states. b. Consider an election between Xu, Smith and Unger. The preference table is given below. The winner using the plurality-with-elimination method is Smith. Show work to verify this 100 Number of voters 1st Choice 2ND Choice 3rd Choice suspicion of voting…
Consider the weighted voting system [q: 11, 8, 7, 5, 2] a. What is the total weight of the system? 33 b. What is the smallest value that the quota q can take? 18 c. What is the largest value that the quota q can take? 33 d. What is the weight of the coalition formed by P₁ and P3? 18 e. For what values of the quota q is the coalition formed by P₁ and P2 a winning coalition? Enter values in increasing order separated by a comma but no spaces. |
i need c for number 6
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