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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.1, Problem 10ES

Textbook Problem

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College Enrollment The following table shows the enrollment for each of the four divisions of a college. The four divisions are liberal arts, business, humanities, and science. There are 180 new computers that are to be apportioned among the divisions based on the enrollments.

Total 15.809

a. What is the standard divisor for an apportionm ent of the computers? What is the meaning of the standard divisor in the context of this exercise?

b. Use the Hamilton method to determine the number of computers to be apportioned to each division.

*c.* If the computers are to be apportioned using the Jefferson method, explain why neither 86 nor 87 can be used as a modified standard divisor. Explain why 86.5 can be used as a modified standard divisor.

d. Explain why the modified standard divisor - used in the Jefferson method cannot be larger than the standard divisor.

e. Use the Jefferson method to determine the number of computers to be apportioned to each division. Is this apportionment in violation of the quota rule?

f. How do the apportionment results produced using the Jefferson method compare with the results prod uced using the Hamilton method?

To determine

**(a)**

**To find:**

The standard divisor for an apportionment of the computers.

**Given information:**

The given table shows the enrollment for each of the four division of a college. The four divisions are liberal arts, business, humanities and science. There are 180 new computers that are to be apportioned among the divisions based on the enrollments.

â€ƒâ€ƒ

To determine

**(b)**

**To find:**

The number of computers to be apportioned to each division.

To determine

**(c)**

**To state:**

The modified standard divisor.

To determine

**(d)**

Using Jefferson method to find standard divisor

To determine

**(e)**

**To find:**

number of computers using jefferon method

To determine

**(f)**

**To compare:**

The method of Hamilton and Jefferon

Mathematical Excursions (MindTap Course List)

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