4) Consider the following election with 7 voters and 4 candidates. Determine thewinner using the methods listed below:FirstSecondThirdFourth2CABDNumber of Voters (7)1C2DACCBBDABa) Plurality Votingb)Borda Countc) Hare Systemd) Sequential Pairwise with agenda: B, D, C, A.1BDAC1ADBCC

Answered: Image /qna-images/answer/65ccc38b-2c23-48d9-887d-7bcd6189fc77.jpg

Answered: 4) Consider the following election with…

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 an election with 301 voters cast for 3 candidates. What is the smallest number of first-place votes that a candidate can receive to win by the Plurality method?
SUPPOSE THE 18 MEMBERS ON THE BOARD OF THE PROVINCE OF BATANGAS ARE SELECTED ACCORDING TO THE POPULATIONS OF THE 3 CITIES AND 2 BIG TOWNS AS SHOWN BELOW. A. USE THE HAMILTON METHOD TO DETERMINE THE NUMBER OF BOARD MEMBERS EACH CITY AND MUNICIPALITY SHOULD HAVE. B. USE THE JEFFERSON METHOD TO DETERMINE THE NUMBER OF BOARD MEMBER EACH CITY AND MUNICIPALITIES SHOULD HAVE City - Population Batangas - 2,694,335 Tanauan - 173,400 Lipa - 332,386 Lemery - 93,157 Taal - 56,327
3. In an election there are four candidates and 80 voters: a. What is the maximum number of points that a candidate canreceive using Plurality?b. What is the maximum number of points that a candidate canreceive using the Borda count method?c. What minimum number of points that a candidate canreceive using the Borda count method?
A campus club needs to elect four officers: a president, a vice president, a secretary, and a treasurer. The club has five volunteers. Rather than vote individually for each position, the club members will rank the candidates in order of preference. The votes will then be tallied using the Borda Count method. The candidate receiving the highest number of points will be president, the candidate receiving the next highest number of points is vice president, the candidate receiving the next highest number of points is secretary, and the candidate receiving the next highest number of points will be treasurer. Rankings Cynthia 4 2 3 Andrew 1 4 5 Jen 1 2 3 2 Hector 1 4 1 4 Medin 3 4 5 Number of votes: 27 8 21 25 22 For the preference schedule shown, determine who wins each position in the club. president ---Select--- ♥ vice president ---Select--- V secretary ---Select--- v treasurer ---Select--- v
5) Consider the following election with 7 voters and 4 candidates. Determine the winner using the methods listed below: First Second Third Fourth 2 A D C B Number of Voters (7) 1 A B D C 2 B D A с e) Plurality Runoff f) Borda Count g) Condorcet's Method h) Sequential Pairwise with agenda: B, D, C, A. 1 C B D A 1 DBAG B A C
A campus club needs to elect four officers: a president, a vice president, a secretary, and a treasurer. The club has five volunteers. Rather than vote individually for each position, the club members will rank the candidates in order of preference. The votes will then be tallied using the Borda Count method. The candidate receiving the highest number of points will be president, the candidate receiving the next highest number of points is vice president, the candidate receiving the next highest number of points is secretary, and the candidate receiving the next highest number of points will be treasurer. Rankings Cynthia 4 2 3 Andrew 3 1 4 Jen 5 1 Hector 1 1 4 Medin 3 4 Number of votes: 24 8 15 14 For the preference schedule shown, determine who wins each position in the club.
A campus club needs to elect four officers: a president, a vice president, a secretary, and a treasurer. The club has five volunteers. Rather than vote individually for each position, the club members will rank the candidates in order of preference. The votes will then be tallied using the Borda Count method. The candidate receiving the highest number of points will be president, the candidate receiving the next highest number of points is vice president, the candidate receiving the next highest number of points is secretary, and the candidate receiving the next highest number of points will be treasurer. Rankings Cynthia 4 2 5 2 3 Andrew 2 3 1 4 5 Jen 5 1 2 3 2 Hector 1 5 4 1 4 Medin 3 4 3 5 1 Number of votes: 9 12 25 24 23 For the preference schedule shown, determine who wins each position in the club. president vice president secretary treasurer
Consider a fictitious country Makria with four states Urbinulla, Konta, Cyclos, and Pantou. The population of each state is given in the table below. If the new constitution of country Makria calls for 28 representatives to be chosen from the four states, what are the number of representative for each state if we use Adams Method?(Hint: Use Dm = 1200 ). Makria Country State Роpulation Urbinulla 12,521 Konta 3, 879 Cyklos 8, 764 Pantou 4, 836 A Urbinulla: 11 Konta: 3 Cyklos: 8 Pantou: 4 В Urbinulla: 12 Konta: 4 Cyklos: 8 Pantou: 4 Urbinulla: 12 Konta: 3 Cyklos: 9 Pantou: 4 Urbinulla: 11 Konta: 4 Cyklos: 8 Pantou: 5
A company has four divisions with 560, 1230, 1490, and 1760 people, respectively. A total of 18 IT workers must be allocated to each division according to their size. Complete parts (a) through (d) to find the apportionment using the Hill-Huntington method. Find the standard divisor. Find the standard quota and modified standard quota for each division. Using a modified standard divisor of 275, find the modified quota for each division. Find the geometric mean for each division. Show the rounded quota (according to the Hill-Huntington method) for each division and the final apportionment of IT workers. PLEASE WATCH GRAMMAR, PUNCTUATION, AND HAVE CLEAR FORMATTING. Thank you.
There are 12 students running for three student council positions: president, Vice President, and secretary. Which of the following is the number of ways in which these three positions can be filled by 12 candidates
Four candidates, Lito, Quennie, Kyleigh, and Irish are running for president of the student government. After the polls close, votes are tallied, and the results in the table below are obtained. Lito: 314 Quennie: 155 Kyleigh: 1,052 Irish: 479 6.) How many votes were cast?7.) Using the plurality method of voting, who wins the election? 8.) Did the winner receive a majority of the votes? Why?
Suppose four candidates A, B, C, and D are running for one position, and there are nineteen voters. Each voter lists the candidates in the order of most favorable to least favorable. A. Use the Pairwise Comparison Method to determine the winner. Show steps.B. Determine the winner using the Hare System. Show steps.

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4) Consider the following election with 7 voters and 4 candidates. Determine the winner using the methods listed below: First Second Third Fourth a) Plurality Voting b) Borda Count c) Hare System 2 C A B D Number of Voters (7) 1 C D A B 2 D A C B 1 B D A C 1 A D B C