The McKees’ Point Yacht Club Board of Directors wants to decide where to hold their fall business meeting. The choices arc the Country Club (C), Frankie’s Fine Foods (F), West Oak Golf Club (W), and Rosa’s Restaurant (R). The results of the election are shown in the preference table.
(a) Determine the winner using the pairwise comparison method.
(b) Is this the same winner as the one using the Borda count method in Exercise 8 of Section 13-2?
8. The McKees’ Point Yacht Club Board of Directors wants to decide where to hold their fall business meeting. The choices are the Country Club (C), Frankie’s Fine Foods (F), West Oak Golf Club (W), and Rosa’s Restaurant (R). The results of the election are shown in the preference table.
Determine the winner using the Borda count method of voting.
Want to see the full answer?
Check out a sample textbook solutionChapter 12 Solutions
MATH IN OUR WORLD (LOOSELEAF)-W/ACCESS
- The Science club is selecting its representative for a competition. The members rank the 4 candidates given in the preference table below: Using the agenda ABCD, who is the pairwise sequential winner?arrow_forwardThe results of an election are summarized in the following preference table. Determine the winner using the Borda Count method.arrow_forwardIf you and another person are using the divide-and-choose procedure to divide something between you, would you rather be the divider or the chooser? (Assume that neither of you knows anything about the preferences of the other.)arrow_forward
- The 9 members of the Town Board must decide where to build a new post office. Their three choices are Lehigh Road (L), Erie Road (E), and Ontario Road (O). The preference table follows to the right. Determine the winner using the pairwise comparison method. Number of Ballots Number of votes 4 2 3 First E O L Second O L O Third L E E Choose the correct answer below. A. Lehigh B. Erie C. Ontario D. There is no winner. There is a tie between Ontario and Erie. E. There is no winner. There is a three-way tie.arrow_forwardA senior high school class held an election for class president. Instead of just voting for one candidate, the students were asked to rank all four candidates in order of preference. The results are shown in the table below. Rankings Raymond Lee 2 3 1 3 4 2 Suzanne Brewer 4 1 3 4 1 3 Elaine Garcia 1 2 2 2 3 4 Michael Turley 3 4 4 1 2 1 Number of votes: 26 21 22 23 19 24 Using the Borda Count method, which student should be class president? Raymond Lee Suzanne Brewer Elaine Garcia Michael Turleyarrow_forwardA senior high school class held an election for class president. Instead of just voting for one candidate, the students were asked to rank all four candidates in order of preference. The results are shown in the table below. Rankings Raymond Lee 2 3 1 3 4 2 Suzanne Brewer 4 1 3 4 1 3 Elaine Garcia 1 2 2 2 3 4 Michael Turley 3 4 4 1 2 1 Number of votes: 12 21 17 26 18 16 Using the Borda Count method, which student should be class president?arrow_forward
- Twenty−three members of the executive committee of the Student Senate must vote for a student representative for the college board of trustees from among three candidates: Greenburg (G), Haskins (H), and Vazquez (V). The preference table follows. Number of Votes 9 2 8 4 First V G H H Second G H V G Third H V G V Another way to determine the winner if the plurality with elimination method is used is to eliminate the candidate with the most last-place votes at each step. Using the preference table given to the left, determine the winner if the plurality with elimination method is used and the candidate with the most last-place votes is eliminated at each step. Choose the correct answer below. A. Haskins B. Greenburg C. Vazquez D. There is no winner. There is a tie between Vazquez and Greenburg. E. There is no winner. There is a three-way tie.arrow_forwardA family is trying to decide whether to go to Chicago (C), Nashville (N), or Ocean City (O) on their summer vacation. The two parents, eight children, and two grandparents rank their three choices according to the following preference table. Determine the winner using the pairwise comparison method. Number of Votes 4 2 1 4 1 First Choice C O C N O Second Choice N C O O N Third Choice O N N C C Choose the correct answer below. A. (O) Ocean City B. (N) Nashville C. (C) Chicago D. There is no winner. There is a tie between Chicago and Nashville. E. There is no winner. There is a three-way tie.arrow_forwardThe members of campus club are having a cleanup drive.There are three departments who will participate theactivity: BSAB, BSPA, and BSCD. The members areasked to rank these choices in order of preference ,andthe results are summarized in the following preferencetable (attached) b. Use the plurality method to determine the winner.c. What percent of the votes did the winner in letter (b)receive?d. Use the majority method to determine the winner.arrow_forward
- A family is trying to decide whether to go to Chicago (C), Nashville (N), or Ocean City (O) on their summer vacation. The two parents, four children, and three grandparents rank their three choices according to the following preference table. Determine the winner using the pairwise comparison method. Number of Votes 3 2 1 2 1 First Choice C O C N O Second Choice N C O O N Third Choice O N N C C Choose the correct answer below. A. (N) Nashville B. (C) Chicago C. (O) Ocean City D. There is no winner. There is a tie between Chicago and Nashville. E. There is no winner. There is a three-way tie.arrow_forwardThree candidates—Allred, Stiggins, and Mercer—ran for a seat on the city council.Polls indicate that the preference rankings and approvals of the candidates from the voters were as follows: Percentage of Voters 21 15 8 32 24 Allred 1 X 1 X 2 3 X 3 Stiggins 2 3 1 X 1 X 2 X Mercer 3 2 X 3 2 X 1 X Who is the winner using the Approval method? (Show vote totals)arrow_forwardTwenty−one members of the executive committee of the Student Senate must vote for a student representative for the college board of trustees from among three candidates: Greenburg (G), Haskins (H), and Vazquez (V). The preference table follows. Number of Votes 8 2 7 4 First H V G G Second V G H V Third G H V H ..... Another way to determine the winner if the plurality with elimination method is used is to eliminate the candidate with the most last-place votes at each step. Using the preference table given to the left, determine the winner if the plurality with elimination method is used and the candidate with the most last-place votes is eliminated at each step. Choose the correct answer below. A. Greenburg B. Vazquez C. Haskins D. There is no winner. There is a tie between Haskins and Vazquez. E. There is no winner. There is a three-way tie.arrow_forward
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education