The Mathematics Department is holdingan election for department chair. Eachmember ranks the candidates from firstto third. The preference table belowshows the results of the ballots withcandidates Clark (C), Jones (J), andSmith (S).Number of Votes 7 10 4 8FirstSecondS JCSThirdCC S JIf the plurality method is used todetermine the winner, is the head-to-head criterion satisfied?Select one:a. NoO b. YesJSJ C

Given: The table showing the results of ballots in an election.To find: Winner using the plurality…

Answered: The Mathematics Department is holding…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Consider the following election. This is the same table as above. Number of Voters 16 11 12 4 1st Choice B D A B 2nd Choice A A D D 3rd Choice D B C C 4th Choice C C B A Using the Plurality with the Elimination Method, the winner of the election is Group of answer choices D C B A
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 Second Third JSJ C SJC S CCS J Determine the winner using the Borda count method. Did the winner receive a majority of the first place votes using the Borda count method? Select one: a. Smith; No O b. Smith; Yes O c. Jones; No d. Clark; Yes e. Jones; Yes O f. Clark; No
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
7)
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?
Consider the preference schedule (below) for an election. (a) Determine the winner using the plurality method. (b) Determine the winner using sequential runoff. First D A B C B Second C B A D C Third A C C A D Fourth B D D B A Votes 31 26 22 15 8
A football team needs to select a captain from among four players-Steel, Griffin, Pollard, and Driggs. The preference rankings for the team are as follows: # of votes 12 5 8 1 10 3 2 Steel 1 1 2 4 2 2 Griffin 2 3 1 1 1 4 4 Pollard 3 2 3 4 2 1 3 Driggs 4 4 4 2 3 3 1 A) What are the vote totals using the Plurality method? B) Who would win using Plurality with a Runoff between the top two finishers? (Show both vote totals)
A survey was conducted to determine who was the best bad guy in the Star Wars franchise: Darth Vader, Emperor Palpatine, of General Grievous. The rankings are shown in the preference table below. Use pairwise comparison to determine who was the best bad guy among the three candidates. Rankings 1st 2nd 3rd Total Votes General Grievous O Emperor Palpatine Darth Vader Vader Palpatine Grievous 206 It was a three-way tie Palpatine Grievous Vader 415 Grievous Vader Palpatine 124
Candidates A, B, C, and D are competing to win an award. There are 5 voters in this election. The chart below shows the preference schedule. Voter 1 1st choice. A 2nd choice B 3rd choice C 4th choice D Voter 2 Voter 3 B C C B D D A A Voter 4 D B C A Voter 5 A D C B 8. Consider the following fairness criterion: If a majority of the voters have candidate X ranked last, then candidate X should not be a winner of the election. (a) Give an example to show that the plurality method violates this criterion. (b) Give an example to show that the plurality with elimination method violates this crite- rion.

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS