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Management Scientific Research Corporation has offices in Boston and Chicago. The number of employees at each office is shown in the following table. There are 22 vice presidents to be apportioned between the offices. a. Use the Hamilton method to find each office’s apportionment of vice presidents. b. The corporation opens an additional office in San Francisco with 135 employees and decides to have a total of 24 vice presidents. If the vice presidents are reapportioned using the Hamilton method, will the new states paradox occur? Explain.
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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 4.1, Problem 19ES
Textbook Problem
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Management Scientific Research Corporation has offices in Boston and Chicago. The number of employees at each office is shown in the following table. There are 22 vice presidents to be apportioned between the offices.
a. Use the Hamilton method to find each office’s apportionment of vice presidents.
b. The corporation opens an additional office in San Francisco with 135 employees and decides to have a total of 24 vice presidents. If the vice presidents are reapportioned using the Hamilton method, will the new states paradox occur? Explain.
To determine
(a)
Use the Hamilton method to find each office's apportionment of vice presidents.
Explanation of Solution
Given Information:
| Office | Boston | Chicago |
| Employees | | |
Concept used:
Calculation:
Therefore,
Now in Hamilton method divide each enrollment by standard divisor to get a quotient and standard quota
To determine
(b)
If the vice presidents are reapportioned using the Hamilton method, will the new states paradox occur? Explain.
Chapter 4 Solutions
Mathematical Excursions (MindTap Course List)
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