A total of 25 teacher aides are to be apportioned among seven classes at a new elementary school. The enrollment in each of the seven classes is shown in the following table. Class Number of students Kindergarten 38 First grade 39 Second grade 35 Third grade 27 Fourth grade 21 Fifth grade 31 Sixth grade 33 Total 224 (a) Determine the standard divisor. What is the meaning of the standard divisor in the context of this exercise? There is one aide for every students. (b) Use the Hamilton method to determine the number of teacher aides to be apportioned to each class. Class Hamilton method Kindergarten First grade Second grade Third grade Fourth grade Fifth grade Sixth grade (c) Use the Jefferson method to determine the number of teacher aides to be apportioned to each class. Class Jefferson method Kindergarten First grade Second grade Third grade Fourth grade Fifth grade Sixth grade Is this apportionment in violation of the quota rule? YesNo (d) How do the apportionment results produced using the Jefferson method compare with the results produced using the Hamilton method? They are identical.Using the Jefferson method, the second grade gets one more teacher's aide and the third grade gets one less aide when compared to the Hamilton method. Using the Jefferson method, the fifth grade gets one more teacher's aide and the second grade gets one less aide when compared to the Hamilton method.Using the Jefferson method, the sixth grade gets one more teacher's aide and the fourth grade gets one less aide when compared to the Hamilton method.Using the Jefferson method, the first grade gets one more teacher's aide and the fifth grade gets one less aide when compared to the Hamilton method.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A total of 25 teacher aides are to be apportioned among seven classes at a new elementary school. The enrollment in each of the seven classes is shown in the following table.

Class	Number of students
Kindergarten	38
First grade	39
Second grade	35
Third grade	27
Fourth grade	21
Fifth grade	31
Sixth grade	33
Total	224

(a) Determine the standard divisor.

What is the meaning of the standard divisor in the context of this exercise?

There is one aide for every students.

(b) Use the Hamilton method to determine the number of teacher aides to be apportioned to each class.

Class	Hamilton method
Kindergarten
First grade
Second grade
Third grade
Fourth grade
Fifth grade
Sixth grade

Class	Jefferson method
Kindergarten
First grade
Second grade
Third grade
Fourth grade
Fifth grade
Sixth grade

Is this apportionment in violation of the quota rule?

YesNo

(d) How do the apportionment results produced using the Jefferson method compare with the results produced using the Hamilton method?

They are identical.Using the Jefferson method, the second grade gets one more teacher's aide and the third grade gets one less aide when compared to the Hamilton method. Using the Jefferson method, the fifth grade gets one more teacher's aide and the second grade gets one less aide when compared to the Hamilton method.Using the Jefferson method, the sixth grade gets one more teacher's aide and the fourth grade gets one less aide when compared to the Hamilton method.Using the Jefferson method, the first grade gets one more teacher's aide and the fifth grade gets one less aide when compared to the Hamilton method.

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