MATH | CHAPTER IX - Apportion ment and Voting The following table shows the enrollment for each of the four divisions of a 3. college. The four divisions are liberal arts, business, humanities, and science. The are 150 new computers that are to be apportioned among the divisions based on the enrollment. Division Enrollment Liberal arts 1234 Business 3470 Humanities 1825 Science 4052 Total 10, 581

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CHAPTER IX - Apportionment and Voting -
The following table shows the enrollment for each of the four divisions of a
3.
college. The four divisions are liberal arts, business, humanities, and
science. The are 150 new computers that are to be apportioned among the
divisions based on the enrollment.
Division
Enrollment
Liberal arts
1234
Business
3470
Humanities
1825
Science
4052
Total
10, 581
a. What is the standard divisor for an apportionment of the computers?
What is the meaning of the standard divisor in the 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 70 nor 68 can be used as a modified standard
divisor. Explain why 69.5 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 apportionment method results produced using the Jefferson
method compare with the results produced using the Hamilton method?
Transcribed Image Text:CHAPTER IX - Apportionment and Voting - The following table shows the enrollment for each of the four divisions of a 3. college. The four divisions are liberal arts, business, humanities, and science. The are 150 new computers that are to be apportioned among the divisions based on the enrollment. Division Enrollment Liberal arts 1234 Business 3470 Humanities 1825 Science 4052 Total 10, 581 a. What is the standard divisor for an apportionment of the computers? What is the meaning of the standard divisor in the 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 70 nor 68 can be used as a modified standard divisor. Explain why 69.5 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 apportionment method results produced using the Jefferson method compare with the results produced using the Hamilton method?
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