   # Teacher Aides A total of 25 teacher aides are to be apportioned among seven classes at a new elementary school. The enrollments in the seven classes are shown in the following table. a. Determine the standard divisor. What is the meaning of the standard divisor in the context of this exercise? b. Use the Hamilton method to determine the number of teacher aides to be apportioned to each class. c. Use the Jefferson method to determine the number of teacher aides to be apportioned to each class. Is this apportionment in violation of the quota rule? d. How do the apportionment results produced using the Jefferson method compare with the results produced using the Hamilton method? ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584

#### Solutions

Chapter
Section ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Chapter 4.1, Problem 2ES
Textbook Problem
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## Teacher Aides A total of 25 teacher aides are to be apportioned among seven classes at a new elementary school. The enrollments in the seven classes are shown in the following table. a. Determine the standard divisor. What is the meaning of the standard divisor in the context of this exercise?b. Use the Hamilton method to determine the number of teacher aides to be apportioned to each class.c. Use the Jefferson method to determine the number of teacher aides to be apportioned to each class. Is this apportionment in violation of the quota rule?d. How do the apportionment results produced using the Jefferson method compare with the results produced using the Hamilton method?

To determine

(a)

Determine the standard divisor What is the meaning of the standard divisor in the context of this exercise?

### Explanation of Solution

Given Information:

Standard divisor

Concept used:

Standard Divisor=Total PopulationNumber of Representatives

Calculation:

Standard Divisor=Total PopulationNumber of Representatives

To determine

(b)

Use the Hamilton method to determine the number of teacher aides to be apportioned to each class.

To determine

(c)

Use the Jefferson method to determine the number of teacher aides to be apportioned to each class, Is this apportionment in violation of ttie quota rule?

To determine

(d)

How do the apportionment results produced using the Jefferson method compare with the results produced using the Hamilton method?

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