   # College Security A college apportions 40 security personnel among three education centers according to their enrollments. The following table shows the present enrolments at the three centers. a. Use the Hamilton method to apportion the security personnel. b. After one semester, the centers have the following enrolments, Center A has an increased enrollment of 14 students, which is an increase of 14 356 ≈ 0.039 = 3.9 % . Center B has an increased enrollment of 25 students, which is an increase of 25 1054 ≈ 0.024 = 2.4 % . If the security personnel are reapportioned using the Hamilton method, will the population paradox occur? Explain. Center A has an increased enrollment of 14 students, ### 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 18ES
Textbook Problem
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## College Security A college apportions 40 security personnel among three education centers according to their enrollments. The following table shows the present enrolments at the three centers. a. Use the Hamilton method to apportion the security personnel.b. After one semester, the centers have the following enrolments, Center A has an increased enrollment of 14 students, which is an increase of 14 356 ≈ 0.039 = 3.9 % . Center B has an increased enrollment of 25 students, which is an increase of 25 1054 ≈ 0.024 = 2.4 % . If the security personnel are reapportioned using the Hamilton method, will the population paradox occur? Explain. Center A has an increased enrollment of 14 students,

To determine

(a)

Use the Hamilton method to apportion the security personnel.

### Explanation of Solution

Given Information:

 Center A B C Enrollment 356 1054 2590

Concept used:

Standard Divisor=Total EnrollmentNumber of security personnel to apportion

Calculation:

Since a college apportions 40 security personnel first we calculate standard divisor Standard Divisor=Total EnrollmentNumber of security personnel to apportion

Therefore,

Standard Divisor=356+1054+259040=400040=100

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

 Center Enrollments Quotient Standard quota Number of Security personnel A 356 356100=3
To determine

(b)

If the security personnel are reapportioned using the Hamilton method, will the population paradox occur? Explain.

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