4. The homeowners association is deciding a new set of neighborhood standards for architecture, yard maintenance,etc. Four options have been proposed. The votes are:The preference schedule for the election is:89117Number ofVoters1st2nd3rd4thBACDACD BDBCAABDC7BAUDC5.CDA3Ba. How many voters voted in this election?b. How many votes are needed for a majority? A plurality?c. Find the winner under the plurality method.d. Find the winner under the Borda Count Method.e. Find the winner under the Instant Runoff Voting method.f. Find the winner under Copeland's method.

Answered: Image /qna-images/answer/3e09fe1a-146b-4009-8644-aac471602daf.jpg

Answered: 4. The homeowners association 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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8
Employees at the Me, My Mop and I cleaning service are choosing a new company logo. The choices are a mop (M), a broom and dustpan (B), and a vacuum cleaner (V). Each employee ranks the three choices from first to third. The preference table below shows the results of the ballots. Number of Votes First Second Third 20 3 M V V M B B 17 8 10 19 V M B B B M M M V V B V Determine the winner using the plurality method. O A. broom and dustpan B. mop O C. vacuum
Refer to the following preference schedule to answer parts (a) – (i). a. How many votes were cast? _________ b. How many votes are needed to receive a majority? ________ c. Find the plurality winner: _________Show work to support the selection process. d. Did the plurality winner also receive a majority? _________. e. Find the winner by a single runoff of the top two candidates: ________Show work to support the selection process below. f. Find the winner by a sequential runoff: ________Show work to support the selection process. g. Find the winner by a Borda count: ________Show work to support the selection process. h. Find the winner, if any, by the method of pairwise comparisons: ________Show work to support the selection process i. From the results of (a)-(h) is there a clear winner? Explain.
The theater society members are voting for the kind of play they will perform next semester; a comedy (C), a drama (D), or a musical (M). Their votes are summarized in the following preference table. Which type of play is selected using the pairwise comparison method? Number of Votes 20 12 8 3 1 First Choice M C D C Second Choice C M C M D Third Choice M C comedy Tie between musical and drama drama musical Σ
An organization, with 200 members, is about to select their president. The nominees are Alisha (A), Ben (B), Caroline (C), Dave (D), and Ellazar (E). The summary of voting are as follows: number of votes: 25 20 28 12 18 25 19 18 20 15 1st choice A A B B E E 2nd choice B E А E A 3rd choice D A E E B A D В 4th choice E E B A. A 5th choice E B A D E C B A By instant run off, determine the order of elimination from first to last. O Ben >> Caroline >> Ellazar O Caroline >> Ben >> Ellazar Ellazar >> Ben >> Caroline Ellazar >> Caroline >> Ben
7)
Ten voters are asked to rank 4 brands of cell phones: A, B, C, and D. The ten voters turn in the following ballots showing their preferences in order A B B BA B B B BA AB BCA C с DACA CD D D D D D C D D Second Which of the following preference tables correctly shows the results of the voting? Select one: O a. Number of Votes 2 2 First A B Third Fourth A C в BACA CCAD D Second O b. Number of Votes 2 2 First A B A Third D C 1 B A D C 1 B A D A 1 B с D A B C Fourth D D C O c. None of these is correct. d. Number of Votes 2 2 First D 2 A 2 C C 2 3 B C A D 3 B с A D 3 B D с C
B. Solve the following problems using plurality voting, plurality with elimination, Borda count and the pairwise comparison voting. Compare the results of the different methods. 1. Fifty Mass Communication students were surveyed about their preference on the three short films produced by students to be submitted as entry in the local film festival. They ranked the three films and the result is shown in the table below. Which film is the most popular choice of this group of students? Rankings Kalinaw sa Mindanao 2 1 2 1 3 Ang Probasyon 3 2 1 3 1 Salome 1 3 3 2 2 Number of votes 7 7 15 13
Mr. Abdul Rheman's class held an election for class president. Instead of just voting for one candidate, students need to rank all the candidates according to their preference. The results are shown below: Rankings 2 1 2 3 1 Y 2 1 2 3 1 3 1 3 1 2 2 Number of 8 7 7 8 6. 7 Students Number of Votes for the Winner by Plurality.

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