A committee has four members (Upper P 1P1, Upper P 2P2, Upper P 3P3, and Upper P

Question

A committee has four members (Upper P 1P1, Upper P 2P2, Upper P 3P3, and Upper P 4P4). In this committee Upper P 1P1 has twice as many votes as Upper P2;P2 Upper P2;P2 has twice as many votes as Upper P 3P3; Upper P 3P3 and Upper P 4P4 have the same number of votes. The quota is qequals=109109. For each of the given definitions of the quota, describe the committee using the notation [q: w1, w2, w3, w4]. (Hint: Write the weighted voting system as [109109: 4x, 2x, x, x], and then solve for x.) Complete parts (a) through (c) below. (a) The quota is defined as a simple majority of the votes.

Explanation / Answer

x = 13638.63

[q: w1, w2, w3, w4]= [109109: 54554.5, 27270.25, 13638.63, 13638.63]

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