Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 13 - Voting and Apportionment - 13.3 Apportionment Method - Exercise Set 13.3: 34

Answer

Using Hamilton's method, every group is assigned either its lower quota or its upper quota. Therefore, Hamilton's method satisfies the quota rule.

Work Step by Step

The quota rule states that a group should be assigned either its lower quota or its upper quota. Hamilton's method initially assigns every group their lower quota. If there are surplus items to be apportioned, the surplus items are apportioned one by one to the groups which have the largest fractional part in the standard quota. Thus some groups may be assigned their upper quota instead of their lower quota. Using Hamilton's method, every group is assigned either its lower quota or its upper quota. Therefore, Hamilton's method satisfies the quota rule.
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