Five partners
(Upper P 1P1,
Upper P 2P2,
Upper P 3P3,
Upper P 4P4,
and
Upper P 5P5)
jointly own an electric company.
Upper P 1P1
owns
1414
shares of the company,
Upper P 2P2
owns
99
shares,
Upper P 3P3
and
Upper P 4P4
each own
66
shares, and
Upper P 5P5
owns
55
shares, with the usual agreement that one share equals one vote. Describe the partnership as a weighted voting system using the standard notation
left bracket q: w 1 comma w 2 comma Bold . . . comma w Subscript n Baseline right bracketq: w1,w2, . . . ,wn
under the following conditions.
(a) Decisions in the partnership are made by simple majority.
(b) Decisions in the partnership require
three dash fourthsthree-fourths
of the votes.
Question content area bottom
Part 1
(a) The description of this voting system in standard notation is
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(Use descending order.)