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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.1, Problem 5ES

Textbook Problem

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Governing Boards The following table shows how the average constituency changes for two regional governing boards. Joshua and Salinas. when a new representative is added to each board.

a. Determine the relative unfairness of an apportionment that gives a new board member to Joshua rather than to Salinas. Round to the nearest thousandth.

b. Determine the relative unfairness of an apportionment that gives a new board member to Salinas rather than to Joshua. Round to the nearest thousandth.

c. Using the apportionment principle, determine which regional governing board should receive the new board member.

To determine

**(a)**

Determine the relative unfairness of an apportionment that gives a new board member to Joshua rather than to Salinas. Round to the nearest thousandth.

**Given Information:**

Joshua's average constituency | Salinas's average constituency | |

Joshua receives new board member | â€ƒâ€ƒ | â€ƒâ€ƒ |

Salinas receives new board member | â€ƒâ€ƒ | â€ƒâ€ƒ |

**Concept used:**

â€ƒâ€ƒ

**Calculation:**

Formula for relative unfairness is

â€ƒâ€ƒ

To determine

**(b)**

Determine the relative unfairness of an apportionment that gives a new board member to

Salinas rather than to Joshua. Round to the nearest thousandth.

To determine

**(c)**

Using the apportionment principle, determine which regional governing board should receive the new board member.

Mathematical Excursions (MindTap Course List)

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