To determine There are five parts to be determined in this question and these are: (a) To find apportionment using Hamilton’s method. (b) To find apportionment using Jefferson’s method. (c) To find apportionment using Webster’s method. (d) To find apportionment using Hill-Huntington’s method. (e) Compare results of various methods Explanation Given: Total 25 managers are to be apportioned. And sales of stores Boulder (A), Denver (B), Broomfield (C) and Collins (D) are 2.5, 7.6, 3.9 and 5.5 respectively. Formula Used: Standard divisor = total sales number of managers Standard quota = store sales standard divisor Calculations: Number of delegates to be apportioned = 25 Total number of members = 2.5 + 7.6 + 3.9 + 5.5 = 19.5 Calculate standard divisor Standard divisor = 19 .5 25 = 0.78 Calculate Standard quota for each store Standard quota = store sales 0.78 (These calculations are shown in the third row of the table below) Give each store the number of managers found by rounding its standard quota down. This number is the state’s minimum quota. (These calculations are shown in the fourth row of the table below) Find the sum total of the managers so obtained. You will find that one manager is left to be apportioned. Store A B C D Total Sales 2.5 7.6 3.9 5.5 19.5 Standard quota 2.5 0.78 = 3.21 7.6 0.78 = 9.74 3.9 0.78 = 5 5.5 0.78 = 7.05 25 Minimum quota 3 9 5 7 24 Part (a): Hamilton’s Method of apportionment Find each store’s fractional remainder – fraction that remains in the standard quota after subtracting the minimum quota. Give extra manager to the store with highest fractional remainder. (These calculations are shown in the fifth row of the table below) The final apportionment is given in the sixth row of the table below: Store A B C D Total Sales 2.5 7.6 3.9 5.5 19.5 Standard quota 2.5 0.78 = 3.21 7.6 0.78 = 9.74 3.9 0.78 = 5 5.5 0.78 = 7.05 25 Minimum quota 3 9 5 7 24 Fractional remainder 0.21 0.74 (largest) 0.00 0.05 1 Final Apportionment 3 10 5 7 25 Thus, the apportionment of managers to Boulder, Denver, Broomfield and Collins are 3, 10, 5 and 7 respectively. Part (b): Jefferson’s Method of apportionment Since, there is one extra manager, so according to this method you have to choose a modified divisor that is lower than the standard divisor. The store sale is divided by modified divisor to find modified quota. Round these modified quotas to find new set of minimum quotas. The last row in the table below shows the new minimum quotas with a modified divisor of 0.76. Observe that this new set of minimum quota uses all 25 managers. Hence, the last row is the final apportionment. Store A B C D Total Sales 2.5 7.6 3.9 5.5 19.5 Standard quota 2.5 0.78 = 3.21 7.6 0.78 = 9.74 3.9 0.78 = 5 5.5 0.78 = 7.05 25 Minimum quota 3 9 5 7 24 Modified quota 2.5 0.76 = 3.29 7.6 0.76 = 10 3...

7th Edition

ISBN: 9780135237236

Author: Bennett

Publisher: PEARSON

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Question

Chapter 12.C, Problem 45E

To determine

There are five parts to be determined in this question and these are:

(a) To find apportionment using Hamilton’s method.

(b) To find apportionment using Jefferson’s method.

(c) To find apportionment using Webster’s method.

(d) To find apportionment using Hill-Huntington’s method.

(e) Compare results of various methods

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Chapter 12.C, Problem 44E

Chapter 12.C, Problem 46E

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Chapter 12 Solutions

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Ch. 12.A - Prob. 1QQ Ch. 12.A - Prob. 2QQ Ch. 12.A - Prob. 3QQ Ch. 12.A - Prob. 4QQ Ch. 12.A - Prob. 5QQ Ch. 12.A - Prob. 6QQ Ch. 12.A - Prob. 7QQ Ch. 12.A - Prob. 8QQ Ch. 12.A - 9. Study Table 12.5. Which candidate received the...Ch. 12.A - 10. What is the primary lesson of the preference...

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Many countries have...Ch. 12.B - l. How many of the four fairness criteria (see p....Ch. 12.B - Prob. 2QQ Ch. 12.B - Prob. 3QQ Ch. 12.B - Prob. 4QQ Ch. 12.B - 5. Suppose that Berman is declared the winner of...Ch. 12.B - 6. Suppose that Freedman is declared the winner of...Ch. 12.B - 7. Notice that if Goldsmith dropped out, Freedman...Ch. 12.B - Prob. 8QQ Ch. 12.B - Which of the following is not an advantage of...Ch. 12.B - Prob. 10QQ Ch. 12.B - Briefly summarize each of the four fairness...Ch. 12.B - Prob. 2E Ch. 12.B - What is approval voting? How is it different from...Ch. 12.B - Prob. 4E Ch. 12.B - Prob. 5E Ch. 12.B - Prob. 6E Ch. 12.B - Prob. 7E Ch. 12.B - Prob. 8E Ch. 12.B - Plurality and Criterion 1. Explain in words why...Ch. 12.B - 10. Plurality and Criterion 2. Consider the...Ch. 12.B - 11. Plurality and Criterion 2. Devise a preference...Ch. 12.B - Prob. 12E Ch. 12.B - Plurality and Criterion 4. 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