(a) Explanation Given: When a large company with offices in four cities must distribute 144 new ergonomic chairs to the four offices. The chair will apportionment based on the number of employees in each office as shown in the table below. Office A B C D Total Employees 739 277 618 958 2592 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 four office is, d = 2592 144 = 18 Thus, the standard divisor is d = 18 . Use the formula of standard quota, the standard quota of each office is as follows. Standard quota of office A = 739 18 = 41.06 The standard quota of the office A is 41.06, and the nearest integer to the standard quota is 41. Thus, the Hamilton’s apportionment of office A is 41 (b) To determine To explain: The Alabama paradox occurs or not using Hamilton’s method if the number of new chairs is increases from 144 to 145.

A Survey of Mathematics with Applications (10th Edition) - Standalone book

10th Edition

ISBN: 9780134112107

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

Publisher: PEARSON

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Chapter 14.4, Problem 8E

(a)

To determine

To find: The apportion of chair using Hamilton’s method.

(b)

To determine

To explain: The Alabama paradox occurs or not using Hamilton’s method if the number of new chairs is increases from 144 to 145.

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Chapter 14.4, Problem 7E

Chapter 14.4, Problem 9E

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A Survey of Mathematics with Applications (10th Edition) - Standalone book

Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 5E Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Plurality Three candidates are running for mayor...Ch. 14.1 - Prob. 10E

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The apportion of chair using Hamilton’s method.

Solution Summary: The author explains the apportionment of chairs using the Hamilton's method.