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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4, Problem 6RE

Textbook Problem

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Automobile Sales Consider the apportionment of 27 automobiles to the sales departments of a business with five regional centers labeled A, B, C, D, and E. The following table shows the Hamilton apportionment of the automobiles based on the number of sales personnel at each center.

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

To determine

**(a)**

**To Explain:**

If the number of automobiles to be apportioned increases from

**Given Information:**

Center | | | | | |

Number of sales personnel | | | | | |

Apportionment of automobiles | | | | | |

**Concept used:**

**Calculation:**

The number of automobiles to be apportioned increases from

Therefore,

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

Center | Number of sales personnel | Quotient | Standard quota | Apportionment of automobiles |

| | | | |

| | | | |

| | |

To determine

**(b)**

**To Explain:**

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

Mathematical Excursions (MindTap Course List)

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