High School

8. In the weighted voting system \((q: 22, 12, 8, 4)\), what is the smallest value the quota \(q\) can take?

A. 46
B. 40
C. 22
D. 23
E. 36
F. None of these

Answer :

Final answer:

The smallest value the quota q can take in the given weighted voting system (22, 12, 8, 4) is 23.

Explanation:

In a weighted voting system, the smallest value the quota q can take is determined by the sum of the weights of all voters divided by 2 plus 1. In this case, the weights are given as 22, 12, 8, and 4. Adding all the weights together gives us 46, so the smallest value the quota q can be is 46/2 + 1 = 23.

Learn more about Weighted voting system here:

https://brainly.com/question/29030947

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