The theater society members are voting for the kind ofplay they will perform next semester: a comedy (C), adrama (D), or a musical (M). Their votes aresummarized in the following preference table. Whichtype of play is selected using the plurality method?Number of Votes1110 9 821First ChoiceDDMSecond ChoiceCMCDMThird ChoiceMMCCcomedyTie between comedy and dramadramamusical

Plurality Method In this method, the choice with the most first-preference votes is declared the…

Answered: The theater society members are voting…

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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Solve the problem. Computer Specialists is planning a group vacation to one of the following locations: Alaska (A), Florida (F), San Antonio (S), or Hawaii (H). The employees rank the four possible sites according to the following preference table. Number of Votes 5 7 4 75 6 8 First Second Third AHFAAHF HS SFHF.S FAHS SSA Fourth SFAH FAH Determine the winner using the Borda count method and if the winner received a majority of first place votes. O San Antonio; No O Hawaii; No O Alaska; No O Florida; No
6
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 15 11 10 14 7 20 First M V V B В Second V В V M Third B B M M V V Determine the winner using the plurality method. O A. mop O B. vacuum C. broom and dustpan
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
Solve the problem. 6) A condominium association is holding an election for president of the board of directors. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Abbott (A), Blake (B), Cleary (C), and Downs (D). Number of Votes 3 6 5 8 7 4 6 6 4 First ABAACBDC C Second CABCDDBBA B C C DAA ADD DDDB B CCAB Third Fourth If the plurality method if used to determine the winner and Downs drops out, is the irrelevant alternatives criterion satisfied?
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 в D E 2nd choice в C E D A E A D 3rd choice D A E E B A D 4th choice D E D E в А A B 5th choice E в с A D D E с В A By pairwise comparison, who won when Alisha and Ben were head-to-head? O Alisha Ben
A group of college students was surveyed to determine their favorite class among History, Mathematics, and Art. The students ranked the classes in order of preference, and the results are shown below. (a) Using plurality voting, which class is the students' favorite? (b) Did that class recieve a majority vote? Rankings History 1 1 2 2 3 3 Mathematics 2 3 1 3 1 2 Art 3 2 3 1 2 1 Number of Students: 25 37 16 34 19 35 (a) History (b) No (a) Art (b) No (a) Math (b) No (a) History (b) Yes (a) Art (b) Yes
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
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 J S J C Second S J C S Third C C S J If the Borda count method is used to determine the winner is the head-to-head criterion satisfied? Select one: a. Yes b. No
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
The Mathematics For All Club is having an election for a president. The candidates are Amber-A, Bill-B and Jeniere-J. Each of the members is asked to submit a preference ballot. Here is the result: (AJB) = 5, (BJA) = 4, (JAB) = 4, (BAJ) = 2 %3D Question 1 How many members of the Mathematics for All Club submitted their ballots? (AJB) = 5, (BJA) = 4, (JAB) = 4, (BAJ) = 2 %3D

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