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- Refer to the following preference schedule to answer parts (a) – (i). a. How many votes were cast? _________ b. How many votes are needed to receive a majority? ________ c. Find the plurality winner: _________Show work to support the selection process. d. Did the plurality winner also receive a majority? _________. e. Find the winner by a single runoff of the top two candidates: ________Show work to support the selection process below. f. Find the winner by a sequential runoff: ________Show work to support the selection process. g. Find the winner by a Borda count: ________Show work to support the selection process. h. Find the winner, if any, by the method of pairwise comparisons: ________Show work to support the selection process i. From the results of (a)-(h) is there a clear winner? Explain.The board of directors of a food company is holding an election to decide which company should be awarded the contract to build an expansion to its corporate headquarters. The 18 members of the board of directors are considering a proposal from each of the following companies: Becker (B), DİMarco (D), LaChase (L), and Merendez (M). The members rank the four choices according to the preference table to the right. Number of votes 8 5 3 2 First LLMB Second MBLL Third DMDM Fourth BDBD O A. LaChase O B. DİMarco O C. Merendez O D. BeckerThe preference ballots for three candidates (A, B, C) are shown. Fill in the number of votes in the the first row of the given preference table. ВСА АВС СВА АВС АВС АВС ВСА CBA АВС СВА ВСА СВА СВА CBA ВСА ВСА ..... Number of Votes First Choice A В Second Choice B Third Choice A A (Type an integer in each box.)
- F959 - QUESTION 4. BORDA COUNT. The animals get sick and tired of having the Lion be the King of the Jungle, and they overthrow the Lion and hold an election for President of the Jungle. The candidates an the Zebra, the Elephant, the Baboon and the Hyena, and there are 67 voters. The 67 preference lists fall into 6 categories, as summarized below. Using the Borda count method, show the results of the election. 15 Zebra 13 Baboon 12 Zebra 10 Elephant Elephant Hyena 4₂15760 4•13=524.12 48 4.10€ 40 4x936 4×8=33 Hyena Hyena Baboon Hyena Elephant 3-15-45 3-13-39 3·12-30 3·10-30 3x9-27) 3x 8-24 Baboon Zebra Baboon Elephant 1.13 €13/1•12= 12 1·10 = (10) 9 Baboon Zebra Hyena Elephant Elephant Zebra 215- (30) 2.13 (24) 2-12 (24) 2·10 -(20) 2×9=182x8=16) Baboon Zebra 1.15-(15 Hyena 8 1x9 ✓9-9 1x8=813. Use the following preference schedule to answer the following question: Using plurality-with-elimination, who was eliminated 1st?hree-Way Race Preference Schedule. Consider a three-way race between candidates called A, B, C. Make a preference schedule for the following results: 22 voters rank the candidates in the order (first choice to last choice) A, B, C. 20 voters rank the candidates in the order C, B, A. 16 voters rank the candidates in the order B, C, A. 8 voters rank the candidates in the order C, A, B. The answers are in the attached table.
- 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 treasurerThe Rosetown community association plans to meet once each month. The association members are deciding what day of the week to meet by holding a vote. The choices are Monday (M), Tuesday (T), and Friday (F). Instead of voting for only one day, each member ranks the three days in order of preference. Each member's ballot gives the member's first, second, and third choice for a monthly meeting day. Here are the ballots submitted. Baliot 1 Ballot 2 Ballot 3 Ballot 4 Ballot 5 Ballot 6 Balot 7 Ballot 8 Ballot 9 1st M. 14 M F. M. 1st 2n 2n 2nd 2nd M M T. 2nd 2 2nd 2nd 2nd M. 3rd 3rd 3rd F 3rd 3rd M 3rd 3rd M. 3rd Ballot 10 Ballot 11 Ballot 12 Ballot 13 Balot 14 Ballot 15 Ballot 16 1st F M 1st T. M 14 2nd T. 2nd T. 2nd 2ne 20 2n M 2nd F M 3rd M 3rd 3rd M 3rd 3 3rd Construct a preference table to summarize the ballots. You can add or remove columns in the table as needed. Note: The individual ballots above will highlight when clicked. (Highlighting the ballots can help you with your…Consider an election with three candidates with the results: (CBA) (ACB) (BAC) (BCA) 2 ,8, 7, 2 Who wins the election using the Borda count method?
- Answer the question about the preference schedule. How many voters preferred Candidate C to Candidate D? Preference Scheduleſfor an election. BED E First Second c E свА E A Third B E C A B C D Fourth B A Fifth Voters 12 S 9. 3. 16 a) 40 b) 37 c) 11 d) 272. Suppose that an employer decides to hire a new CEO using the Borda count. A panel of 35 managers, board members, and other executives rank the candidates using a preference ballot. Here is the preference schedule. 1st Place Chen Ashford Ashford 2nd Place Ashford Borge Chen 3rd Place Borge Chen Borge Voters 18 16 1 (a) Find the Borda count for each of the candidates to determine who will be hired. (b) Now forget the Borda counts and look at the number of first place votes. (c) Does any candidate have a majority of the votes? Which one? (d) Does Criterion 1 apply? Has Criterion 1 been satisfied? (e) Again, forget the Borda counts and look at the number of first place votes in pairwise comparisons. Who wins in a race between Chen and Ashford? between Chen and Borge? (f) Is there a Condorcet winner? Did the Condorcet winner win the election? (g) Does Criterion 2 apply? Has Criterion 2 been satisfied?