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

Section: Chapter Questions

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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 are the number of representative for each state if we use Adams Method?(Hint: Use Dm = 1200 ). Makria Country State Роpulation Urbinulla 12,521 Konta 3, 879 Cyklos 8, 764 Pantou 4, 836 A Urbinulla: 11 Konta: 3 Cyklos: 8 Pantou: 4 В Urbinulla: 12 Konta: 4 Cyklos: 8 Pantou: 4 Urbinulla: 12 Konta: 3 Cyklos: 9 Pantou: 4 Urbinulla: 11 Konta: 4 Cyklos: 8 Pantou: 5
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 small country consists of seven states; there are 160 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown below for the years 1990 and 1995. State A B C D E F G 1990 Population 1283 2374 2725 2155 1592 2511 2017 1995 Population 1347 2469 2847 2220 1640 2611 2078 Does the population paradox occur using Hamilton's method of apportionment? Select one: a. Yes b. No
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?…
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 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.)
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.)
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.

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