The Wizards Computer Club is ordering five new computers. To obtain a discount price, the club has

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The Wizards Computer Club is ordering five new computers. To obtain a discount price, the club has decided that all five should be the same brand. The choices they are considering are Mac (M), Hewlett-Packard (H), Dell (D), and Gateway (G). The 142 members’ choices are reflected in the preference table below.

Number of Votes First 43 29 30 26 14 G M Н D D Second M D D н н Third н н M G M Fourth D G M G

(a) Determine which brand of computer is selected using the pairwise comparison method.

(b) Determine which brand of computer is selected using the plurality with elimination method.

(c) Determine which brand of computer is selected using the Borda count method.

(d) Determine which brand of computer is selected using the plurality method. Gateway

(e) What does this example demonstrate about the need for choosing a voting method prior to the election?

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A Survey of Mathematics with Applications

ISBN: 978-0134112107

10th edition

Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde

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