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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.1, Problem 20ES

Textbook Problem

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Education The science division of a college consists of three departments: mathematics, Physics, and chemistry. The number of students enrolled in each department is shown in the following table. There are 19 clerical assistants to be apportioned among the departments.

a. Use the Hamilton method to find each departmentâ€™s apportionment of clerical assistants.

b. The division opens a new computer science department with a student enrolment of 495.

The division decides 10 have a total of 20 clerical assistants. If the clerical assistants are reapportioned using the Hamilton method, will the new states paradox occur? Explain.

To determine

**(a)**

Use the Hamilton method to find each department's apportionment of clerical assistants.

**Given Information:**

Department | Math | Physics | Chemistry |

Student enrollment | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

**Concept used:**

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**Calculation:**

Since there are 19 clerical assistants to be apportioned among the departments first we calculate standard divisor.

â€ƒâ€ƒ

Therefore,

â€ƒâ€ƒ

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

Department | Student Enrollment | Quotient | Standard quota | Number of Clerical Assistants |

Math's | â€ƒâ€ƒ | â€ƒâ€ƒ |

To determine

**(b)**

The division opens a new computer science department with a student enrollment of

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