Explanation Given: (a) 100 delegates are to be apportioned among three states A, B and C with populations 1140, 6320 and 250 respectively. (b) A new state with population of 500 is added and 5 more seats are also added. Formula Used: Standard divisor = total population number of delegates Standard quota = state population standard divisor Calculations: Part (a): Number of delegates to be apportioned = 100 Total population of the three states = 1140+6320+250 = 7710 Calculate standard divisor Standard divisor = 7710 100 = 77.10 Calculate Standard quota for each state Standard quota = state population 77 .1 (These calculations are shown in the third row of the table below) According to Hamilton’s Method of apportionment, Step1. Give each state the number of delegates 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) Step2. Find each state’s fractional remainder – fraction that remains in the standard quota after subtracting the minimum quota. Give first extra delegate to the state with highest fractional remainder, next to the second highest fractional remainder and so on until all delegates are apportioned. (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: State A B C Total Population 1140 6320 250 7710 Standard quota 1140 77.1 = 14.79 6320 77.1 = 81.97 250 77.1 = 3.24 100 Minimum quota 14 81 3 98 Fractional remainder 0.79 (2 nd largest) 0.97 (largest) 0.24 2 Final Apportionment 15 82 3 100 Thus, the apportionment to the three states A, B and C are 15, 82 and 3 respectively. Part (b): Since, a new state with population 500 is added. So, total population of the four states A, B, C and D is Total population = 1140 + 6230 + 250 + 500 = 8210 Also, 5 more seats were added, so now Number of delegates to be apportioned = 105 Calculate standard divisor Standard divisor = 8210 105 = 78...

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ISBN: 8220100802713

Author: Briggs

Publisher: PEARSON

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Chapter 12.C, Problem 37E

To determine

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

(a) To find apportion of 100 delegates among three states using Hamilton’s method.

(b) To find the apportionment of 4 states, when a new state and 5 more seats are added.

(c) To determine if the addition of new state decreases the representation of any of the original states.

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Chapter 12.C, Problem 36E

Chapter 12.C, Problem 38E

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