Problem

We have seen that an apportionment that apportions to each state either the whole number...

We have seen that an apportionment that apportions to each state either the whole number just below the state’s standard quota (called the lower quota) or the whole number just above the state’s standard quota (called the upper quota) is said to satisfy the quota rule.

Explain why if Adams’ method (see Extended Problems 33 through 36 in Section 5.2) is used, any violation of the quota rule must be a violation of the lower quota. A method violates the lower quota if it assigns a whole number less than the lower quota.

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