A country with three states has 66 seats in the legislature. The population of each state is

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A country with three states has 66 seats in the legislature. The population of each state is shown in the table at the top of the right column.

State Total A B 253,770 667,260 990,000 Population 68,970

(a)  Apportion the seats using Hamilton’s method. 

(b) Suppose that a fourth state with the population shown in the table below is added, with five additional seats. Does the new-states paradox occur using Hamilton’s method?

State Total A D Population 68,970 253,770 667,260 85,800 1,075,800


When appropriate, round quotas and divisors to the nearest hundredth.

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Related Book For  answer-question

A Survey of Mathematics with Applications

ISBN: 978-0134112107

10th edition

Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde

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