The administration at a state university is considering three possible areas of improvement to their residence halls: parking (P), security (S), and lounge areas (L). The 9members of the executive committee of the Student Senate rank the choices according to the preference table shown below. Suppose that the Borda count method is used todetermine the winner. Determine if the head-to-head criterion is satisfied.of VotesNumberFirstSecondThird1PLYesNoS4L S1 1SL PP LPSorsIs the head-to-head criterion satisfied?LS

The following steps are used to decide the winners by the Borda count method. Assign points based…

Answered: The administration at a state…

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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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
110 voters are asked to rank four brands of cereal: A, B, C, and D. The votes are summarized in the preference table shown below. Determine the winner using the plurality-with-elimination method. Number of Votes First Choice Second Choice Third Choice Fourth Choice 42 35 20 13 В A A B A A В В D O o o 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 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
An organization with branches across the Northeast is trying to decide where it should hold its annual employee picnic. Each branch ranks the locations of Augusta, ME; Boston, MA; and Erie, PA, and the following preference schedule is created: Number of Votes 36 24 19 16 13 1st Choice Erie Augusta Boston Augusta Boston 2nd Choice Augusta Erie Erie Boston Augusta 3rd Choice Boston Boston Augusta Erie Erie The organization has chosen to use the Borda Count method to determine which city they will hold their picnic in. Where will the organization’s picnic be held? Make sure to include an explanation along with your answer.
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
Four candidates, Harrison (H), Lennon (L), McCartney (M), and Starr (S), are running for regional manager. After the polls close, ranked ballots are tallied, and the results are summarized in the table. Use the plurality method of voting to determine the winner. Harrison Lennon McCartney Starr Number of Ballots Cast 45 95 24 91 30 13 18 1st choice H L L M M S S 2nd choice L M S L L H M 3rd choice S H M H S L H 4th choice M S H S H M L
The university administration has asked a group of student leaders to vote on the aspects of college life to target for improvement over the next year. The choices were (H)ousing, (L)ibrary, (T)heater, and (F)itness center. The votes are summarized in the preference table. What option is selected using the plurality method? O A. Library B. Theater C. Fitness center O D. Housing ... Number of Ballots Preference 13 26 19 10 2 1st 2nd 3rd 4th T L HHT LT LFL HHFTF F F T LH

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