Deriving the Huntington-Hill Number The Huntington-Hill number is derived by using the apportionment principle. Let P A = population of state A a = number of representatives from state A P b = population of state B b = number of representatives from state B Complete the following to derive the Huntington-Hill Number. a. Write the fraction that gives the average constituency of state A when it receives a new representative. b. Write the fraction that gives the average constituency of state B without a new representative. c. Express the relative unfairness of apportionment by giving state A the new representative in terms of the fractions from parts a and b. d. Express the relative unfairness of apportionment by giving state B the new representative. e. According to the apportionment principle, state A should receive the next representative instead of state B if the relative unfairness of giving the new representative to state A is less than the relative unfairness of giving the new representative to state B. Express this inequality in terms of the express ions in parts c and d. f. Simplify the inequality and you will have the Huntington-Hill number.

Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584

Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584

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Chapter 4.1, Problem 35ES
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