There are four Alien outposts on the Planet 45468: West, North, South, and East. The populations of each outpost are as follows: West = 26, North = 42 South 17, and East = 15. The citizens are planning to build a spaceport on the Planet, but they only have enough funds to build one spaceport. Each citizen wants the spaceport to beas close to their home outpost as possible. In order to decide where to build the spaceport, the Aliens conduct a democratic election where each Alien ranks their choices of spaceport location on a ballot. Each vote is weighted equally, and Aliens living in the same outpost vote identically. The results are tabulated below. Number of Ballots Preferance 42 26 15 17 NWES WE S E E S W W S N NN 1st 2nd 3rd 4th (a) Identify the location of the spaceport if the plurality voting method is used. I (b) Identify the location of the spaceport if the plurality-with-elimination voting method (also known as the instant-runoff voting method) is used. (c) Identify the location of the spaceport if the pairwise-comparison voting method (also known as the Condorcet voting method) is used.

There are four Alien outposts on the Planet 45468: West, North, South, and East. The populations of each outpost are as follows: West = 26, North = 42 South 17, and East = 15. The citizens are planning to build a spaceport on the Planet, but they only have enough funds to build one spaceport. Each citizen wants the spaceport to beas close to their home outpost as possible. In order to decide where to build the spaceport, the Aliens conduct a democratic election where each Alien ranks their choices of spaceport location on a ballot. Each vote is weighted equally, and Aliens living in the same outpost vote identically. The results are tabulated below. Number of Ballots Preferance 42 26 15 17 NWES WE S E E S W W S N NN 1st 2nd 3rd 4th (a) Identify the location of the spaceport if the plurality voting method is used. I (b) Identify the location of the spaceport if the plurality-with-elimination voting method (also known as the instant-runoff voting method) is used. (c) Identify the location of the spaceport if the pairwise-comparison voting method (also known as the Condorcet voting method) is used.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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