Explanation Approach: Huntington-Hill apportionment principle: The Huntington–Hill Apportionment Principle: If states X and Y have already been allotted x and y representatives, respectively, then state X should be given an additional representative in preference to state Y if the given condition is true. ( population of Y ) 2 y ⋅ ( y + 1 ) < ( population of X ) 2 x ⋅ ( x + 1 ) If the condition is not satisfied, then additional representatives should be given to the state Y. Huntington-Hill Apportionment Method: 1. Compute the Huntington-Hill Number using the given formula. Huntington-Hill number = ( population of X ) 2 x ⋅ ( x + 1 ) 2. Form a Huntington-Hill Number table by assigning additional representative to each state. 3. Always begin by assigning one representative to one state. 4. Arrange the Huntington-Hill Numbers in decreasing order to apportion the next required representatives. Calculation: New Hampshire has a population of 1.3 million. Vermont has population of 0.6 million. Connecticut has population of 3.6 million. (To keep our numbers small, we will ignore millions) Number of representatives apportioned is 8 The Huntington-Hill number for the states: Number of Representatives New Hampshire Vermont Connecticut 1 ( 1.3 ) 2 1 ⋅ ( 1 + 1 ) = 0.85 ( 0.6 ) 2 1 ⋅ ( 1 + 1 ) = 0.18 ( 3.6 ) 2 1 ⋅ ( 1 + 1 ) = 6.48 2 ( 1.3 ) 2 2 ⋅ ( 2 + 1 ) = 0

6th Edition

ISBN: 9780134434681

Author: Tom Pirnot

Publisher: PEARSON

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Chapter 10.2, Problem 24E

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Apportionment of representatives to three states using Huntington-Hill method.

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Chapter 10.2, Problem 23E

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Apportionment of representatives to three states using Huntington-Hill method.

To find: Apportionment of representatives to three states using Huntington-Hill method.

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Apportionment of representatives to three states using Huntington-Hill method.