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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4, Problem 8RE

Textbook Problem

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Building Inspectors A city apportions 34 building inspectors among three regions according to their populations. The following table shows the present population of each region.

a. Use the Hamilton method to apportion the inspectors.

b. After a year the regions have the following populations.

Region A has an increase in population of 442, which is an increase of 3.03%. Region B has an increase in population of 103, which is an increase of 3.10%. Region C has an increase in population of 121, which is an increase of 0.40%. If the inspectors are reapportioned using the Hamilton method, will the population paradox occur? Explain.

To determine

**(a)**

Use the Hamilton method to apportion the inspectors.

**Given Information:**

Office | Los Angeles | Newark |

Employees | | |

**Concept used:**

**Calculation:**

Since, a city apportions

Therefore,

Now in Hamilton method divide each enrollment by standard divisor to get a quotient and standard quota

Region | Population | Quotient | Standard quota | Number of city to apportion |

| | |

To determine

**(b)**

If the inspectors are reapportioned using the Hamilton method, will the population paradox occur? Explain.

Mathematical Excursions (MindTap Course List)

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