The 14 members of the school board must hire a newprincipal. The four finalists for the job, A, B, C, and D,are ranked by the 14 members. The preference table isshown in Table. Answer the following question.(a) Which candidate has a majority of first place votes?(b) Which candidate is declared the new principalusing the Borda count method?(c) Is Majority Criterion Satisfied?Number4of VotesFirstAAChoiceSecondВCВChoiceThirdCChoiceFourthAACChoiceA; A; YesА;B В, NoА;B С; NoB; A; No

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Answered: The 14 members of the school board must…

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 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. Becker
The 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=8
13. Use the following preference schedule to answer the following question: Using plurality-with-elimination, who was eliminated 1st?
10
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
For an election with four candidates (A, B, C, D) consider the following preference table: NUMBER OF VOTERS 6. 1st Choice A C 2nd Choice В A C A 3rd Choice A 4th Choice C В Using the majority method, which candidate wins the election? 8 5.
14
Six candidates A, B. C. D. E. and Fcompete for a seat. There are 100 voters, and the voting profile is as follows (numbers of voters with such preferences are shown in brackets): |25| AEDBCF |20| BEDACF |18| CEDABF |35| FEDABC |2| DEABCF The Condorcet second is an alternative that wins with everybody except for the Condorcet winner. Calculate the alternatives selected by different rules: The plurality winner is The alternative vote winner is The Copeland winner is The Condorcet winner is The Borda Count winner is The Condorcet loser is The Condorcet second is
The members of a town board are holding an election to select a company to maintain the property at the town park. The choices are: • Lucky Lawn (L), • Trawick Landscape (T), • Johnson's Lawncare (). The 15 board members ranked their choices and used the Borda count method to make their selection. What are the results using the Borda method? Does this violate the majority criterion? Number of votes 8 2 First L Second Third a Lucky Lawn = 33, no violate the majority criterion. b Trawick Landscape = 37, yes, it violates the majority criterion. C Lucky Lawn = 8 first place votes and it does not violate the majority criterion. d. Trawick Landscape = 7 first place votes and it does not violate the majority criterion. %3D O O O O
The Science club is selecting its representative for a competition. The members rank the 4 candidates given in the preference table below: Who is the Hare system winner?
For an election with four candidates (A, B, C, D) consider the following preference table: NUMBER OF 6 3 5 8 VOTERS 1st Choice D D A C 2nd Choice В A C 3rd Choice A В В D |4th Choice C C D B Using the majority method, which candidate wins the election? ОА ов No winner

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