Suppose Martell, Arlene, Jody, and Roscoe are voters with weights 3, 7, 5, and 12, 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 17, give the notation for this weighted voting system.
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