A country with three states has 60 seats in the legislature. The population of each state is shown in the table.StateABC55,594204,554537,852Populationa) 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?StateCDPopulation537,85269,160A55,594a) Apportion the seats.StatePopulationNumber of CongressionalSeats(Type whole numbers.hsTotal798,000B204,554BCA55,594 204,554 537,852Total867,160

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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

Section: Chapter Questions

Problem 1RQ

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A company has 30,000 employees in three cities as shown in the table below. It wishes to give promotions to 200 employees. Cities A B C Total Original Number of Employees 9150 6070 14,780 30,000 a) Apportion the promotions using Hamilton's method. b) Suppose that in 10 years the cities have the following number of employees and the company wishes to again give promotions to 200 employees. Does the population paradox occur using Hamilton's method? Cities A B C Total Number of Employees 10 years later 9190 6070 14,915 30,175 a) Complete the table with Hamilton's apportionment for the original number of employees. Cities A B C Total Original Number of Employees 9150 6070 14,780 30,000 Hamilton's Apportionment enter your response here enter your response here enter your response here 200
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. ...
Suppose that β and γ are ordered bases for an n-dimensional real [complex] inner product space V. Prove that if Q is an orthogonal [unitary] n ×n matrix that changes γ-coordinates into β-coordinates, then β is orthonormal if and only if γ is orthonormal.
Consider a fictitious country Makria with four states Urbinulla, Konta, Cyclos, and Pantou. The population of each state is given in the table below. If the new constitution of country Makria calls for 28 representatives to be chosen from the four states, what is the STANDARD DIVISOR? Makria Country State Роpulation Urbinulla 12,521 Konta 3, 879 Cyklos 8, 764 Pantou 4, 836 A 1071.43 В 1692.58 2102.46 984.67
2. A new location for a park in a small city outside of Bucklin, Colorado, is going to be built. The citizens get to vote on 1 of 4 locations: • Century, • Midland, • Uber, • Southern. The voting population is 6800 citizens. Votes 1st 2nd 3rd 4th 2150 Century Midland Southern Uber 1150 Midland Uber Southern Century 1100 Uber Southern Midland Century 1600 Southern Century Uber Midland a. The location that has the most first place votes is b. The location that has the fewest first place votes is c. The location we eliminate is d. Fill in the new table. Votes 1st 2nd 3rd 4th 2150 1150 1100 1600 e. Is there a majority of votes for a location now? Yes or no? f. Which location if any should get eliminated now? g. Fill in the new table. Votes 1st 2nd 3rd 2150 1150 1100 1600 h. Is there a majority of votes for a location now? If yes, what is that location, and how many the first place votes does that location have? i. What location won the plurality vote or single location voting method?…
A college with five divisions has funds for 54 3-D printers. The student population for each division is shown in the table below. A 726 B 1531 926 D E 1126 1091 Total 5400 Division Original Population a) Apportion the printers using Hamilton's method. b) Suppose that 1 year later the divisions have the following populations. If the college wishes to apportion 54 printers, does the population paradox occur using Hamilton's method? A 726 Total 5454 Division Population 1 Year Later B C D 1532 926 1126 1144 a) Use Hamilton's method to apportion the 54 3-D printers using the original population. (Type whole numbers.) Division Original Population Hamilton's Apportionment A B D 726 1531 926 1126 E Total 1091 5400 54 mail
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
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A company has 30,000 employees in three cities as shown in the table below. It wishes to give promotions to 200 employees. Cities A B Total C Original Number of Employees 9170 6030 a) Apportion the promotions using Hamilton's method. b) Suppose that in 10 years the cities have the following number of employees and the company wishes to again give promotions to 200 employees. Does the population paradox occur using Hamilton's method? Cities Number of Employees 10 years later A 9190 C 14,800 30,000 A 9170 B C Total D 6030 14,955 30,175 *** a) Complete the table with Hamilton's apportionment for the original number of employees. Cities B C Total 30,000 6030 14.800 Original Number of Employees Hamilton's Apportionment 200
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.)
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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