Consider the weighted voting system [q: 8,7,6,2,1,1] . What is the smallest value that the quota q can take?
A) 13
B) 14
C) 15
D) 16
E) None of the above.

Question

Consider the weighted voting system  [q: 8,7,6,2,1,1] . What is the smallest value that the quota  q  can take?
A) 13
B) 14
C) 15
D) 16
E) None of the above.

Quizplus · Accepted Answer

The smallest value the quota q can take is 13 because the sum of all weights is 25, and a quota must be more than half of the total weight to ensure that no coalition of less than half can pass a motion. Half of 25 is 12.5, so the smallest integer greater than 12.5 is 13.

Consider the Weighted Voting System [Q: 8,7,6,2,1,1]