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Airline Industry The following table shows the numbers of ticket agents at each airports for a small airline company. The company has hired 35 new security employees who are to be apportioned among the airports based on the number of ticket agents at each airport. a. Use the Hamilton method to apportion the new security employees among the airports. b. Use the Jefferson method to apportion the new security employees among the airports. c. Use the Webster method to apportion the new security employees among the airports.

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Mathematical Excursions (MindTap C...

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

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Chapter
Section
BuyFindarrow_forward

Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Chapter 4, Problem 2RE
Textbook Problem
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Airline Industry The following table shows the numbers of ticket agents at each airports for a small airline company. The company has hired 35 new security employees who are to be apportioned among the airports based on the number of ticket agents at each airport.

Chapter 4, Problem 2RE, Airline Industry The following table shows the numbers of ticket agents at each airports for a small

a. Use the Hamilton method to apportion the new security employees among the airports.

b. Use the Jefferson method to apportion the new security employees among the airports.

c. Use the Webster method to apportion the new security employees among the airports.

To determine

(a)

Use the Hamilton method to apportion the new security employees among the airports.

Explanation of Solution

Given Information:

Airport Number of ticket agents
Newark   28
Cleveland   19
Chicago  34
Philadelphia  13
Detroit  16
Total   110

Concept used:

  Standard Divisor=Number of ticket agents Number of security employee to apportion

Calculation:

Since there is a total 35 new security employee should be apportioned standard divisor is calculated by total number of ticket agents divided by total number of new security employee that are to be apportioned, formula for standard divisor is,

  Standard Divisor=Number of ticket agents Number of security employee to apportion

Therefore,

  Standard Divisor=110353.142

Under the Hamilton plan, divide the enrollments of each division by the standard divisor and round the quotient down to a whole number

Airport Enrollments Quotient Standard Quota
Newark  28  283.1428.911
  
  8
Cleveland  19  193.1426.047  6
Chicago  34  343.14210.821  10
Philadelphia   13  133.1424.137  4
Detroit  16  163
To determine

(b)

Use the Jefferson method to apportion the new security employees among the airports.

To determine

(c)

Use the Webster method to apportion the new security employees among the airports.

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Chapter 4 Solutions

Mathematical Excursions (MindTap Course List)
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Ch. 4.1 - Sales Associates The table below shows the number...Ch. 4.1 - Hospital Interns The table below shows the number...Ch. 4.1 - House of Representatives The U.S. House of...Ch. 4.1 - College Enrollment The following table shows the...Ch. 4.1 - Medical Care A hospital district consists of six...Ch. 4.1 - What is the Alabama paradox?Ch. 4.1 - What is the population paradox?Ch. 4.1 - What is the new states paradox?Ch. 4.1 - 15. 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