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A student committee is being set up as a weighted voting system. The members are a senior, a junior, and a sophomore, with weights 5,

A student committee is being set up as a weighted voting system. The members are a senior, a junior, and a sophomore, with weights 5, 3, and 1, respectively, but the quota has not yet been decided on.

  1. What are all possible values of the quota?
  2. Of all possible values of the quota, which specific one does the junior most wish it to be? Justify your answer.
  3. Of all possible values of the quota, which specific one does the junior least wish it to be? Justify your answer.

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