Given the preference votes of 30 voters, determine who will win by the different methods listed below. Votes Ranking ABDC 10 BCAD 7 CABD 8 DBAC 1. Plurality 2. Instant Round - off 3. Borda count 4. Pairwise comparisons
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- One hundred consumers ranked three brands of bottled water in order of preferences. The results are shown in the preference schedule below. Using the Borda Count Method, how many votes did the most preferred brand receive? 208 203 189 209The planning committee for a renewable energy trade show is trying to decide what city to hold their next show in. The votes are shown below.a. 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 methodThe 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.
- Fourmobilegameswerefoundinalistdistributedtoonethousandstudents.They were asked to rank all four in order of preference. The table below is the preference schedule among the students. a) Determine the winner using the following methods: Plurality, Plurality with Elimination, Borda Count and Pairwise Comparison.b) What percent of the votes did the winner, using the Plurality method receive?c) What percent of the votes did the winner, using the Plurality with Eliminationmethod receive?d) How many points did the winner, using the Borda Count method, receive?A 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.How does a favorite award-show (Academy Awards) or TV show (America's Got Talent) use voting techniques (Plurality, Borda Count, Plurality with Elimianation, or Pairwise Comparison) to either find a winner or eliminate a contestant?
- In a group election the top 3 are given position. If there were 8 candidates how many possible options could be given for the position of President, Vice President, and Information Officer.A 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 TurleyTo decide on a new website design, the designer asks people to rank three designs that have been created (labeled A, B, and C). The individual ballots are shown below. Create a preference table.ABC, ABC, ACB, BAC, BCA, BCA, ACB, CAB, CAB, BCA, ACB, ABC
- A 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: 16 21 25 15 18 13 Using the Borda Count method, which student should be class president? check the correct one Raymond Lee Suzanne Brewer Elaine Garcia Michael TurleyIn an election with 7 candidates, how many pairwise comparisons would need to be made in the Method of Pairwise Comparisons?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.