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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.1, Problem 33ES

Textbook Problem

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John Quincy Adams, the sixth president of the United States, proposed an apportionment method. Research this method, which is known as the Adams method of apportionment. Describe how this method works. Also indicate whether ii satisties the quota rule and whether it is susceptible to any paradoxes.

To determine

Create an apportionment problem in which the Hamilton, Jefferson, and Webster methods produce the same apportionment.

**Given Information:**

Hamilton, Jefferson and webster method.

**Concept used:**

Hamilton method:

Under the Hamilton plan, divide the enrollments of each division by the standard divisor and round the quotient down to a whole number.

Jefferson method

In Jefferson we need to select modified standard divisor by trial and error this is

Webster method

In Webster we need to select modified standard divisor by trial and error this is

**Calculation:**

Hamilton method

Under the Hamilton plan, divide the enrollments of each division by the standard divisor and

round the quotient down to a whole number

Divisions | Enrollments | Quotient | Standard Quota |

Liberal arts | | | |

Business | | | |

Humanities | | | |

Science | | | |

Total | |

From the calculation in the above table, the total number of representatives is

required by college divisions. When this happen the Hamilton plan calls for revisiting the

calculation of the quotients and assigning an additional representative to the college with the

largest decimal remainder. This process is continued until the number of representatives equals

The number required by college divisions. For school we have

Divisions | Enrollments | Quotient | Standard Quota | Number of Representatives |

Liberal arts | | | | |

Business | | | | |

Humanities | | | | |

Science | | | | |

Total | | |

Jefferson method

In Jefferson we need to select modified standard divisor by trial and error this is

Divisions | Enrollments | Quotient | Number of computers to be apportioned |

Liberal arts | | | |

Business | | |

Mathematical Excursions (MindTap Course List)

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