Excursions In Modern Mathematics, 9th Edition

9th Edition

ISBN: 9780134494142

Author: Tannenbaum

Publisher: PEARSON

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Textbook Question

Chapter 4, Problem 63E

This exercise comes in two parts. Read Part I and answer (a) and (b), then read Part II and answer (c) and (d).

Part I. The Intergalactic Federation consists of three sovereign planets: Aila, with a population of 5.2 million, Balin, with a population of 15.1 million, and Cona, with a population of 10.6 million. The Intergalactic Parliament has 50 seats that are apportioned among the three planets based on their populations.

a. Find the standard divisor in the Intergalactic Parliament.

b. Find the apportionment of the 50 seats to the three planets under Hamilton's method.

Part II. Based on the results of a referendum, the federation expands to include a fourth planet, Dent, with a population of 9.5 million. To account for the additional population the number of seats in the Intergalactic Parliament is increased by 15 to a total of 65. [9.5 million individuals represent approximately 15 seats based on the standard divisor foundin (a).]

c. Find the apportionment of the 65 seats to the four planets using Hamilton's method.

d. Which paradox is illustrated by the results of (b) and (c)? Explain.

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Chapter 4, Problem 62E

Chapter 4, Problem 64E

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Chapter 4 Solutions

Excursions In Modern Mathematics, 9th Edition

Ch. 4 - The Bandana Republic is a small country consisting...Ch. 4 - The Republic of Wadiya is a small country...Ch. 4 - The Scotia Metropolitan Area Rapid Transit Service...Ch. 4 - University Hospital has five major units:...Ch. 4 - The Republic of Tropicana is a small country...Ch. 4 - Tasmania State University is made up of five...Ch. 4 - There are 435 seats in the U.S. House of...Ch. 4 - There are 435 seats in the U.S. House of...Ch. 4 - The Interplanetary Federation of Fraternia...Ch. 4 - The small island nation of Margarita is made up of...

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