If the Hamilton Method is used to apportion legislative seats to three states with thepopulations given in the table, then the Alabama Paradox occurs when the numberof seats being apportioned increases from 150 to 151.StatePopulation 70 6730 7530In which state does the paradox show up?a) bO b) a

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Answered: If the Hamilton Method is used to…

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 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
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?…
7. Line up At the beginning of class, Charise's teacher makes a special offer. She will dismiss the class early if they can make all possible arrangements with the 15 students in the class in a single-file line. How many such arrangements are there? Should the class take the offer? Explain.
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 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
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
4. a,b,c only

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