Answered: Which apportionment paradox may be…

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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Which of the following apportionment methods can violate the quota rule? (Select all that apply.) Webster method, Jefferson method, Hamilton method, Huntington-Hill method
4. A fire truck is to be added to a certain district. Which district should get the Fire truck? Justify your answer using the apportionment principle and the Huntington – hill apportionment method. Show solution Area No. of fire trucks Number of houseDistrict 1 18 23, 208District 2 22 50, 443 5. Using problem number 4, if there will be two fire trucks, which district should get the Fire truck. Justify your answer using the apportionment principle and the Huntington – hill apportionment method. Show solution.
Consider the apportionment of 40 doctors for a physicians organization. The apportionment using Hamilton's method is shown in the table below. Does the Alabama paradox occur using Hamilton's method if the number of doctors is increased from 40 to 41? Clinic Patients Standard quota Lower quota Hamilton's apportionment A 492 9.09 9 9 Clinic Patients Hamilton's apportionment B 402 7.43 7 8 с 394 7.28 7 7 B 402 D 424 7.83 7 8 C 394 Complete the table below with the new apportionment for clinics A, B, C, D, and E using a standard divisor rounded to two decimal places. A E 453 492 E 453 8.37 8 8 D 424 Total 2165 40.00 38 40 D Total 2165 41
Comparing apportionment methods. a. Make up an example in which the Hamilton and the Huntington-Hill methods give you the same apportionment. b. Make up an example in which the Hamilton and the Huntington-Hill methods give you different apportionments. Rubric 1 page Do you have 2 examples? Did you fully explain each example? Show both Huntington hill and Hamiliton Label each clearly. First example you get the same apportionment.? Did you show your work? Second example did you get different apportionments? Did you show your work?
5. Name the apportionment method in which we round each group's modified quota to the nearest whole number? 6. Name the paradox. " The addition of a new group changed the apportionments of other groups"
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 38,874 143,034 376,092 558,000 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? State A B C D Total Population 38,874 143,034 376,092 48,360 606,360 a) Apportion the seats. State A B C Population 38,874 143,034 376,092 Number of Congressional Seats ? ? ? (Type whole numbers.)
(3)
Use Adams's method of apportionment to solve the following problem. -1. Suppose a nation has 6 states, with populations shown in the chart below. The representative body had 200 seats. Find: the standard divisor, the modified divisor, and the distribution of representatives to each state Then complete the table. Round all standard and modified quotas to 7 decimal places if needed You can use a spreadsheet to help you figure out an answer or calculate using a calculator.
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
suppose and electronics company has three divisions D digital C computers and B business products division D has 142 employees see has 84 and B has 27 assume that 12 member quality improvement counsel has membership on the council proportional to the number of employees in the three divisions a. apportion this council using Hamilton method b. now increase the councils size to 13 and then to 14 and apportion this council using Hamilton method. c. what is the first size above 12 when the Alabama paradox, occurs, and what division loses a seat when the size of the council increases.

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Which apportionment paradox may be produced by the Adams' method but not the Webster method?