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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.1, Problem 16ES

Textbook Problem

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Apportionment of Projectors Consider the apportionment of 27 digital projectors for a school district with four campus locations labeled A. B. C and D. The following table shows the apportionment of the projectors using the Hamilton method.

a. If the number of projectors to be apportioned increases from 27 to 28, what will be the apportionment if the Hamilton method is used? Will the Alabama paradox occur? Explain.

b. If the number of projectors to be apportioned using the Hamilton method increases from 28 to 29, will the Alabama paradox occur? Explain.

To determine

**(a)**

If tile number of projectors to be apportioned increases from

**Given Information:**

Campus | | | | |

Enrollment | | | | |

Apportionment of | | | | |

**Concept used:**

Albama paradox will not occur as there is no loss of projectors and also total enrollment is same.

**Calculation:**

Since,

Therefore,

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

Campus | Enrollment | Quotient | Standard quota | Number of Projectors |

| | | | |

| | | | |

| | | | |

| | | | |

Total | | |

As projectors increase from

To determine

**(b)**

If the number of projectors to be apportioned using the Hamilton method increases from

Mathematical Excursions (MindTap Course List)

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