(a) Explanation Given: A country with three states has 250 seats in the legislature. The population of each state is shown in the table below. State A B C Total Population 459 10551 18990 30000 Formula used: To obtain the standard divisor when determining apportionment, use the following formula, Standard quota = population of the particular area standard divisor . Apportionment Method used: Hamilton’s Apportionment Method: 1. Calculate the standard Quota for the set of data. 2. Calculate each group’s standard quota. 3. Round each standard quota to the nearest integer Calculation: The standard divisor of the forklift trucks is, d = 30000 250 = 120 Thus, the standard divisor is d = 120 . Use the formula of standard quota, to obtain the standard quota of each states is as follows. Standard quota of state A = 459 120 = 3 (b) To determine To explain: The Population paradox occurs or not using the Hamilton’s method. Suppose that 10 years the states have the following populations. If the country reapportions 250 seats in the legislature. State A B C Total Population 464 10551 19100 30115

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ISBN: 9780135834954

Author: Angel

Publisher: PEARSON

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Chapter 14.4, Problem 14E

(a)

To determine

To find: The Apportion of seats using the Hamilton’s method.

(b)

To determine

To explain: The Population paradox occurs or not using the Hamilton’s method. Suppose that 10 years the states have the following populations. If the country reapportions 250 seats in the legislature.

State A B C Total
Population 464 10551 19100 30115

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Chapter 14.4, Problem 13E

Chapter 14.4, Problem 15E

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Chapter 14 Solutions

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The Apportion of seats using the Hamilton’s method.

Solution Summary: The author explains the Hamilton's method for apportioning the 250 seats in the legislature.