Given the preference votes of 30 voters, determine who will win by the different methods listed below.VOTESRANKING5АBDC10ВСAD7САBD8.DBAC1. Plurality2. Instant Round-off3. Borda Count4. Pairwise Comparisons

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Answered: Given the preference votes of 30…

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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A country consists of 20 states. There are 522 seats in the Congress which are to be apportioned among the 20 states to their respective population. The following table shows the population of the 20 states. Use a spreadsheet program to answer the following questions. Round all standard quotas, modified quotas, and the divisor to 5 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator. Stat Populati Standa Adams' Webste Modifi Modifi Adams' Webste Advantage on rd S r's ed ed S r's or e Quotas Rounde Rounde Quotas Quotas Modifi Modifi Disadvant d Up Quotas Quotas Adam Webste Rounde Rounde d for for ed ed age A 413,875 B 500,032 397,004 D 360,874 E 193,993 F 131,279 G 76,121 H 297,022 I 94,239 J 423,566 K 565,883 L 473,525 M 399,170 N 403,576 100,904 P 73,143 Q 360,997 R 410,181 S 456,755 T 139,361 Tota 6,271,50 Seats: 522
Votes 1st 2nd 3rd 4th 30,440 Mark Fran Noel John 25,679 Mark Fran John Noel 25,123 John Fran Noel Mark 23,413 John Fran Noel Mark 12,345 Fran John Noel Mark Determine the winner using Majority rules, Plurality method, Condorcet method, Condorcet method, Hare system
recall the country composed of four states, A, B, C, and D as shown in the table below. According to the country's constitution, the Congress will have 3O seats, divided among the four states according to their respective populations. Use Jefferson's method with d = 52 to apportion the seats for states A and C. Preference Table State A В C D Population (in 220 333 415 712 thousands) 5 and 8 4 and 8 7 and 4 4 and 7
In a three candidate race that is decided using the plurality method what is the fewest votes that the winner could get if there were 40 votes cast? Explain.
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
Determine where a family would go on vacation, if the choices are Bermuda, Mexico, and Canada, based on first preference only and using Borda Count. BMC 94, BCM 61, CMB 87, CBM 72, MBC 79, MCB 74.
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 treasurer
A panel, composed of members of 3 political parties, has 60 Democrats, 64 Republicans, and 8 Greens. A committee is chosen from the panel that is proportional to the party members and relatively prime. If a two-person leadership team is chosen randomly from the committee, how many different pairs could be selected such that both members of the team are from the same party?
What is a weighted voting system?
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Given the preference votes of 30 voters, determine who will win by the different methods listed below. VOTES RANKING 5 ABDC 10 ВСAD 7. CABD 8 DBAC 1. Plurality 2. Instant Round-off 3. Borda Count