Explanation Given: A preference table. First Choice A C B C Second Choice B B C A Third Choice C A A B Voters 22 20 16 8 a. Plurality method: In Plurality method, the candidate with the maximum first-place votes is the winner. In the table above, C is at the first place in columns 2 and 4. C has a total of 20+8=28 votes. Therefore, C has the maximum first-place votes and is the winner. So, the winner by plurality is C. b. Single runoff method: In Single runoff method, the two candidates with the most first-place votes face a runoff. The candidate who wins the runoff is the winner of the election. So, the runoff would be between first-place candidate C and second-place candidate A. Since, B is not there in the runoff, candidates who first chose B will now choose their second choice, that is, C. Therefore, C gets: 28 + 16 = 44 votes . This is more than candidate A’s 22 votes in the runoff. So, the winner by single runoff is C. c. Sequential runoff method: In Sequential runoff method, a series of runoffs are conducted, where the candidate with the fewest first-place votes is eliminated at each stage. Runoffs go on till a candidate receives the majority of the first-place votes. In this case, B has the fewest first-place votes, so, B would be eliminated and a runoff would be there between first-place candidate C and second-place candidate A. Since, B is not there in the runoff, candidates who first chose B will now choose their second choice, that is, C. Therefore, C gets: 28 + 16 = 44 votes . This is more than candidate A’s 22 votes in the runoff. So, the winner by Sequential runoff is C...

15th Edition

ISBN: 9781269927116

Author: Bennett

Publisher: PEARSON

See similar textbooks

Question

Chapter 12.A, Problem 29E

To determine

The winners for the preference table by plurality, single runoff, sequential runoff, point system and pairwise comparisons.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 12.A, Problem 28E

Chapter 12.A, Problem 30E

Students have asked these similar questions

11:48 SS retry this question below lll 43% A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 77°. A guy wire is to be attached to the top of the tower and to the ground, 102 ft downhill from the base of the tower. The angle formed by the guy wire is 9°. Find the length of the cable required for the guy wire. 9° 102 ft 77° NOTE: The picture is NOT drawn to scale. length of guy-wire = ft Enter your answer as a number; your answer should be accurate to 2 decimal places. Question Help: Video Submit Question Jump to Answer |||

How come that I marked ?

Under certain conditions, the number of diseased cells N(t) at time t increases at a rate N'(t) = Aekt, where A is the rate of increase at time 0 (in cells per day) and k is a constant. (a) Suppose A = 60, and at 3 days, the cells are growing at a rate of 180 per day. Find a formula for the number of cells after t days, given that 200 cells are present at t = 0. (b) Use your answer from part (a) to find the number of cells present after 8 days. (a) Find a formula for the number of cells, N(t), after t days. N(t) = (Round any numbers in exponents to five decimal places. Round all other numbers to the nearest tenth.)

Chapter 12 Solutions

USING+UNDERSTAND MATH W/MATHLABPLUS >I

Ch. 12.A - Prob. 1QQ Ch. 12.A - Prob. 2QQ Ch. 12.A - Prob. 3QQ Ch. 12.A - Prob. 4QQ Ch. 12.A - Prob. 5QQ Ch. 12.A - Prob. 6QQ Ch. 12.A - Prob. 7QQ Ch. 12.A - Prob. 8QQ Ch. 12.A - 9. Study Table 12.5. Which candidate received the...Ch. 12.A - 10. What is the primary lesson of the preference...

Knowledge Booster