A country with three states has 60 seats in the legislature. The population of each state is shown in the table.StatePopulationa) 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?StateAВCTotal58,102213,782562,116834,000AВCTotalO.Population58,102213,782562,11672,280906,280...a) Apportion the seats.StateAВPopulation58,102213,782 562,116Number of CongressionalSeats(Type whole numbers.)

To assign the number of seats to each state by Hamilton's method, use the following formulae.…

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 resort plans to apportion 50 new toboggans among the four resorts based on the number of rooms in each resort as shown below. Determine each resort's apportionment using Adams's method. Hint: Some divisor between 13 and 14 will work. Resort A B C D Total Number of rooms 99 119 150 282 650 What is each resort's apportionment using Adams's method? Resort A B C D Total Number of rooms 99 119 150 282 650 Allocated toboggans enter your response here enter your response here enter your response here enter your response here 50
A certain city has two districts A and B. The populations of the districts are given in the table. There are 40 police officers that are employed to patrol these two districts. 1.) Complete the table using Hamilton's method to apportion the police offices for the populations after 1990. Round all standard quotas and the divisor to 7 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator. Find the divisor. Enter your answer in the space provided below. Divisor: State A Total Population 1990 6,550 11,520 18,070 Standard Quotas 40 Initial Quotas Final Quotas 2.) Now the city expands to cover a new district called district C. As a result, the city hires 10 new police officers to cover the new district. This brings the total number of officers to 50. The total population of the city is shown in the table. Complete the table using Hamilton's method to apportion the police offices for the populations after 2000. Round all standard…
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 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. ...
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?…
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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
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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