A country with three states has 60 seats in the legislature. The population of each state is shown in the table.StateABCTotalPopulation80,256295,296776,448 1,152,000a) 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 usingHamilton's method?BсStatePopulationA80,256D99,840Total1,251,840295,296776,448a) Apportion the seats.StateBCA80,256Population295,296 776,448Number of CongressionalSeats(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....

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Answered: A country with three states has 60…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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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
Using Webster's Method, if the modified quota is 50,100 and the population for State J is 1, 646,000, then the exact number of seats to be apportioned for State J is Group of answer choices 33 34 31 32
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
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 large company with offices in four cities must distribute 146 new color printers to the four cities. The printers will be apportioned based on the number of employees in each office as shown in the table. Office A B с D Total U 2,628 Employees 758 295 635 940 a) Apportion the printers using Hamilton's method. b) Does the Alabama paradox occur using Hamilton's method if the number of new printers in increased from 146 to 147? Explain your answer. a) Use Hamilton's method to first apportion the 146 color printers. Office A B C D Total Employees 758 295 635 940 2,628 Number of printers [ 146 (Type whole numbers.) b) Use Hamilton's method again to apportion the 147 color printers. Office A B C D Total Employees 758 295 635 940 2,628 Number of printers ■ 147 (Type whole numbers.) Does the Alabama paradox occur using Hamilton's method if the number of printers is increased from 146 to 147? Since suffers a loss, the Alabama paradox occur.
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.
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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