Question 8Use the following preference schedule to answer the following question:Howmanycandidates are in this election?Voters86.1stAA2nd3rdCCA4thADCO 5O 4О31O 16B.B.A,B.B

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Answered: Question 8 Use the following preference…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.
A winter resort took a poll of its 350 visitors to see which winter activities people enjoyed. The results were as follows 178 liked to ski 154 liked to snowboard 57 liked to ice skate 49 liked to ski and snowboard 15 liked to ski and ice skate 2 liked to snowboard and ice skate 2 liked all 3 activities How many people enjoy only skiing? 116 How many people enjoy snowboarding and ice skating, but not skiing How many people enjoy snowboarding or skiing, but not ice skating? 268 How many people enjoy none of these activities? 25 0 How many people enjoy at least 2 activities? 110
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?
Using the preference schedule below, who would win the elections if simple plurality is used? No. of voters 1st choice 14 10 8 4 1 Abby Ced Dora Ben Ced 2nd choice Ben Ben Ced Dora Dora 3rd choice Ced Dora Ben Ced Ben 4th choice Dora Abby Abby Abby Abby O a. Abby O b. Ced О с. Ben O d. Dora
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.
An organization, with 200 members, is about to select their president. The nominees are Alisha (A), Ben (B), Caroline (C), Dave (D), and Ellazar (E). The summary of voting are as follows: number of votes: 25 20 28 12 18 25 19 18 20 15 1st choice A A B B E E 2nd choice B E А E A 3rd choice D A E E B A D В 4th choice E E B A. A 5th choice E B A D E C B A By instant run off, determine the order of elimination from first to last. O Ben >> Caroline >> Ellazar O Caroline >> Ben >> Ellazar Ellazar >> Ben >> Caroline Ellazar >> Caroline >> Ben
7
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Question 8 Use the following preference schedule to answer the following question: How many candidates are in this election? Voters 8 6. 1st A A 2nd 3rd C C A 4th A D C O 5 O 4 О31 O 16 B. B. A, B. B