A country with two states has 16 seats in the legislature. The population of eachstate (in thousands) is given by:AB TotalPopulation 134 52 186StateA third state is added with 3 additional seats as shown below.A B C TotalPopulation 134 52 38 224StateDoes the new-states paradox occur using Hamilton's method of apportionment?Select one:a. YesO b. No

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Answered: A country with two states has 16 seats…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A state with five counties has 50 seats in their legislature. Using Hamilton's method, apportion the seats based on the 2000 census, then again using the 2010 census. Which apportionment paradox does this illustrate? County Jefferson 2000 Population 2010 Population 60,000 60,000 Clay 31,200 31,200 Madison 69,200 Jackson 81,600 Franklin 118,000 72,400 81,600 118,400
A country with four states, A, B, C and D apportions the 70 seats in its congress using Hamilton's Method. The table below lists the population for each state and the final apportionment. Apportionment State A B C D State A Population 8000 10000 B C D 4625 7625 New census data came in this year and the 70 seats need to be reapportioned using Hamilton's Method. The table below shows the new populations for each state. New Population 8088 10670 4537 7938 A's final apportionment: B's final apportionment: C's final apportionment: 18 23 11 18 D's final apportionment: Have any paradoxes occurred? If so, which ones? Explain your answer. Population Paradox Alabama Paradox New States Paradox None of the above
A country with three states has 30 seats in the legislature. The population of each state is shown in the table below. a) Apportion the seats using Hamilton's method. b) Does the Alabama paradox occur using Hamilton's method if the number of seats is increased from 30 to 31? State A B C Total Population 162 250 488 900 a) Complete the table with the apportionment of the seats using Hamilton's method. State A B C Total Population 162 250 488 900 Hamilton's apportionment ? ? ? 30
A small country is comprised of four states, A, B, C, and D. The population of each state, in thousands, is given in the following table. State Population (in thousands) A B 75 148 C D 285 392 According to the country's constitution, the congress will have 90 seats, divided among the four states according to their respective populations. a) Find the standard divisor, in thousands. How many people are there for each seat in congress? standard divisor: number of people for each seat: (Type an integer in each box.) b) Find each state's standard quota. (Two of them have been done for you.) State Population (in thousands) Standard quota A D 75 392 7.5 39.2 (Type an integer or a decimal rounded to two decimal places, if necessary, in each box.) B C 148 285 Total 900 Total 900
A country with three states has 60 seats in the legislature. The population of each state is shown in the table. State A B C Total Population 80,256 295,296 776,448 1,152,000 a) Apportion the seats using Hamilton's method. b) Suppose that a fourth state with the population shown in the table is added, with five additional seats. Does the new-states paradox occur using Hamilton's method? B с State Population A 80,256 D 99,840 Total 1,251,840 295,296 776,448 a) Apportion the seats. State B C A 80,256 Population 295,296 776,448 Number of Congressional Seats (Type whole numbers.) b) Does the new-states paradox occur using Hamilton's method when a fourth state is introduced? A. Yes; State C loses a seat to State B. B. Yes; State A loses a seat to State C. C. Yes; State B loses a seat to State A. D. No; the new-states paradox does not occur. ...
A country with three states has 60 seats in the legislature. The population of each state is shown in the table. State Population a) Apportion the seats using Hamilton's method. b) Suppose that a fourth state with the population shown in the table is added, with five additional seats. Does the new-states paradox occur using Hamilton's method? State A В C Total 58,102 213,782 562,116 834,000 A В C Total O. Population 58,102 213,782 562,116 72,280 906,280 ... a) Apportion the seats. State A В Population 58,102 213,782 562,116 Number of Congressional Seats (Type whole numbers.)
A country with three states has 30 seats in the legislature. The population of each state is shown in the table below. a) Apportion the seats using Hamilton's method. b) Does the Alabama paradox occur using Hamilton's method if the number of seats is increased from 30 to 31? State Population B 251 A Total 162 487 900 ..... a) Complete the table with the apportionment of the seats using Hamilton's method. State Population Hamilton's apportionment A 162 В Total 251 487 900 30
The population of departments in a particular company are given in the table below. Last year, the Hamilton Method was used to apportion 28 IT technicians to support all of the departments. This year, a new IT technician will be hired. Using the Huntington-Hill method, which department should get the new hire? Department Population IT Technicians 5 7 A BCDEF 37 50 18 49 39 20 2 6 5 3 a) А b) В C d) D

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