A country with two states has 33 seats in the legislature. The population of each state is

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A country with two states has 33 seats in the legislature. The population of each state is shown in the table below.

Total State A B 2556 Population 744 3300

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

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


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

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A Survey of Mathematics with Applications

ISBN: 978-0134112107

10th edition

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

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