Problem

Suppose representatives for five zones have voting weights of 4, 6, 2, 8, and 10, respec...

Suppose representatives for five zones have voting weights of 4, 6, 2, 8, and 10, respectively.

a. If passing a motion requires a simple majority of yes votes, then what is the smallest weight required to pass a motion?

b. If passing a motion requires a two-thirds supermajority of yes votes, then what is the smallest weight required to pass a motion?

c. If the quota is 25, give the notation for this weighted voting system.

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