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Three candidates are running for mayor. A vote was taken in which the candidates were ranked in order of preference. The results are shown in the preference schedule below. Rankings John Lorenz 1 3 3 Marcia Beasley 3 1 2 Stephen Hyde 2 2 1 Number of votes: 2595 2355 224 (a) Use the Borda Count method to determine the winner of the election. John Lorenz Marcia Beasley Stephen Hyde There is a tie between Marcia Beasley and Stephen Hyde. There is a tie between John Lorenz and Stephen Hyde. (b) Verify that the majority criterion has been violated. O John Lorenz received the fewest number of first-place votes. Marcia Beasley received the fewest number of first-place votes. O Stephen Hyde received the fewest number of first-place votes. Marcia Beasley received no first-place votes. John Lorenz received no first-place votes. (c) Identify a candidate who wins all head-to-head comparisons. O John Lorenz Marcia Beasley O Stephen Hyde There is a tie between Marcia Beasley and Stephen Hyde. There is a tie between John Lorenz and Marcia Beasley.

Three candidates are running for mayor. A vote was taken in which the candidates were ranked in order of preference. The results are shown in the preference schedule below. Rankings John Lorenz 1 3 3 Marcia Beasley 3 1 2 Stephen Hyde 2 2 1 Number of votes: 2595 2355 224 (a) Use the Borda Count method to determine the winner of the election. John Lorenz Marcia Beasley Stephen Hyde There is a tie between Marcia Beasley and Stephen Hyde. There is a tie between John Lorenz and Stephen Hyde. (b) Verify that the majority criterion has been violated. O John Lorenz received the fewest number of first-place votes. Marcia Beasley received the fewest number of first-place votes. O Stephen Hyde received the fewest number of first-place votes. Marcia Beasley received no first-place votes. John Lorenz received no first-place votes. (c) Identify a candidate who wins all head-to-head comparisons. O John Lorenz Marcia Beasley O Stephen Hyde There is a tie between Marcia Beasley and Stephen Hyde. There is a tie between John Lorenz and Marcia Beasley.

Advanced Engineering Mathematics
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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Three candidates are running for mayor. A vote was taken in which the candidates were ranked in order of preference. The results are shown in the preference schedule below. Rankings John Lorenz 1 3 Marcia Beasley 3 1 Stephen Hyde 2 2 Number of votes: 2595 2355 3 2 1 224 (a) Use the Borda Count method to determine the winner of the election. John Lorenz Marcia Beasley Stephen Hyde There is a tie between Marcia Beasley and Stephen Hyde. There is a tie between John Lorenz and Stephen Hyde. (b) Verify that the majority criterion has been violated. O John Lorenz received the fewest number of first-place votes. Marcia Beasley received the fewest number of first-place votes. Stephen Hyde received the fewest number of first-place votes. Marcia Beasley received no first-place votes. O John Lorenz received no first-place votes. (c) Identify a candidate who wins all head-to-head comparisons. O John Lorenz Marcia Beasley Stephen Hyde There is a tie between Marcia Beasley and Stephen Hyde. There is a tie between John Lorenz and Marcia Beasley.
Transcribed Image Text:Three candidates are running for mayor. A vote was taken in which the candidates were ranked in order of preference. The results are shown in the preference schedule below. Rankings John Lorenz 1 3 Marcia Beasley 3 1 Stephen Hyde 2 2 Number of votes: 2595 2355 3 2 1 224 (a) Use the Borda Count method to determine the winner of the election. John Lorenz Marcia Beasley Stephen Hyde There is a tie between Marcia Beasley and Stephen Hyde. There is a tie between John Lorenz and Stephen Hyde. (b) Verify that the majority criterion has been violated. O John Lorenz received the fewest number of first-place votes. Marcia Beasley received the fewest number of first-place votes. Stephen Hyde received the fewest number of first-place votes. Marcia Beasley received no first-place votes. O John Lorenz received no first-place votes. (c) Identify a candidate who wins all head-to-head comparisons. O John Lorenz Marcia Beasley Stephen Hyde There is a tie between Marcia Beasley and Stephen Hyde. There is a tie between John Lorenz and Marcia Beasley.
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