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Computer Allocation The following table shows the number of employees in the four divisions of a corporation. There are 85 new computers that are to be apportioned among the divisions based on the number of employees in each division. a. Lice the Hamilton method to determine the number of computers to be apportioned to each division. b. Use the Jefferson method to determine the number of computers to be apportioned o each division. Does this particular apportionment violate the quota rule?
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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 2T
Textbook Problem
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Computer Allocation The following table shows the number of employees in the four divisions of a corporation. There are 85 new computers that are to be apportioned among the divisions based on the number of employees in each division.
a. Lice the Hamilton method to determine the number of computers to be apportioned to each division.
b. Use the Jefferson method to determine the number of computers to be apportioned o each division. Does this particular apportionment violate the quota rule?
To determine
(a)
Use the Hamilton method to determine the number of computers to be apportioned to each division.
Explanation of Solution
Given Information:
| Divisions | Number of Employees | Quotient | Standard Quota | Number of Computers |
| Sales | | | | |
| Advertising | | | | |
| Service | | | | |
| Manufacturing | | | | |
| Total | | | ||
Concept used:
The Hamilton/Vinton Method
The Hamilton/Vinton Method sets the divisor as the proportion of the total population per house seat. After each states population is divided by the divisor the whole number of the quotient is kept and the fraction dropped.
This will result in surplus house seats. The first surplus seat is assigned to the state with the largest fraction after the original division. The next is assigned to the state with the second-largest fraction and so on.
Calculation:
Since there is a total
Therefore
Under the Hamilton plan, divide tile enrollments of each division by the standard divisor and round the quotient down to a whole number I
| Divisions | Number of Employees | Quotient | Standard Quota |
| Sales | | | |
| Advertising | | |
To determine
(b)
Use the Jefferson method to determine the number of computers to be apportioned to each division Does this particular apportionment violate the quota
Chapter 4 Solutions
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