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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.1, Problem 19ES

Textbook Problem

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Management Scientific Research Corporation has offices in Boston and Chicago. The number of employees at each office is shown in the following table. There are 22 vice presidents to be apportioned between the offices.

a. Use the Hamilton method to find each office’s apportionment of vice presidents.

b. The corporation opens an additional office in San Francisco with 135 employees and decides to have a total of 24 vice presidents. If the vice presidents are reapportioned using the Hamilton method, will the new states paradox occur? Explain.

To determine

**(a)**

Use the Hamilton method to find each office's apportionment of vice presidents.

**Given Information:**

Office | Boston | Chicago |

Employees | | |

**Concept used:**

**Calculation:**

Therefore,

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

To determine

**(b)**

If the vice presidents are reapportioned using the Hamilton method, will the new states paradox occur? Explain.

Mathematical Excursions (MindTap Course List)

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