A committee has four members ( P 1 , P 2 , P 3 , and P 4 ) . In this committee P 1 has twice as many votes as P 2 ; P 2 has twice as many votes as P 3 ; P 3 and P 4 have the same number of votes. The quota is q = 49 . For each of the given definitions of the quota , describe the committee using the notation [ q : w 1 , w 2 , w 3 , w 4 ] . ( Hint : Write the weighted voting system as [ 49 : 4 x , 2 x , x , x ] , and then solve for x .) a. The quota is defined as a simple majority of the votes. b. The quota is defined as more than two-thirds of the votes. c. The quota is defined as more than three-fourths of the votes.
A committee has four members ( P 1 , P 2 , P 3 , and P 4 ) . In this committee P 1 has twice as many votes as P 2 ; P 2 has twice as many votes as P 3 ; P 3 and P 4 have the same number of votes. The quota is q = 49 . For each of the given definitions of the quota , describe the committee using the notation [ q : w 1 , w 2 , w 3 , w 4 ] . ( Hint : Write the weighted voting system as [ 49 : 4 x , 2 x , x , x ] , and then solve for x .) a. The quota is defined as a simple majority of the votes. b. The quota is defined as more than two-thirds of the votes. c. The quota is defined as more than three-fourths of the votes.
Solution Summary: The author explains the weighted voting system if quota q is defined as a simple majority of the votes.
A committee has four members
(
P
1
,
P
2
,
P
3
,
and
P
4
)
. In this committee
P
1
has twice as many votes as
P
2
;
P
2
has twice as many votes as
P
3
;
P
3
and
P
4
have the same number of votes. The quota is
q
=
49
. For each of the given definitions of the quota, describe the committee using the notation
[
q
:
w
1
,
w
2
,
w
3
,
w
4
]
. (Hint: Write the weighted voting system as
[
49
:
4
x
,
2
x
,
x
,
x
]
, and then solve for
x
.)
a. The quota is defined as a simple majority of the votes.
b. The quota is defined as more than two-thirds of the votes.
c. The quota is defined as more than three-fourths of the votes.
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