A small country is made up of three separate islands: Eno, with a population of 100,300, Owt, with apopulation of 9,405, and Eerht with a population of 90,295. The country has a senate with 200 memberswhose seats are apportioned proportional to the population of each island.a. Use Hamilton's method to apportion the 200 seats.b. The senate decides to add another seat so that they have an odd number of senators. UseHamilton's method to apportion the 201 seats.c. Compare your results from parts (a) and (b). This is an example of which paradox?

Island Eno Owt Eerht Total Population 100300 9405 90295 200000

Answered: A small country is made up of three…

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 small country consists of three states, whose populations are listed below.A: 6,000 B: 6,000 C: 2,000a. If the legislature has 10 seats, use Hamilton’s method to apportion the seats.b. If the legislature grows to 11 seats, use Hamilton’s method to apportion the seats.c. Which apportionment paradox does this illustrate?
The mathematics department has 30 teaching assistants to be divided among three courses, according to their respective enrollments. The table shows the courses and the number of students enrolled in each course. Course College Algebra Statistics Liberal Arts Math Total Enrollment 9291 4750 3059 17,100 ..... a) Apportion the teaching assistants using Hamilton's method. Course College Algebra Statistics Liberal Arts Math Total Enrollment Number of TA's 9291 4750 3059 17,100 30 (Type an integer in each box.)
The first six problems relate to the results of apportioning seats to states according to different methods. In the nation of Gulfiana, the Legislature offers 27 seats, to be apportioned according to each state's population. State Population Alassippi 16,600 Florgia 8,381 Louisiansas 5,885 Kennessee 1,950 To answer the next six problems, it is recommended you determine the apportionment of the Legislature according to Jefferson's Method, Adams' Method, and Webster's Method. Helpful Nudge: To cut down on trial-and-error, consider the following list of numbers. This list includes appropriate modified divisors for each of these methods. 1085 1150 1215 1250 1325 How many seats does Florgia get according to the Jefferson apportionment?
There are 49 local police, 10 federal agents, and 36 state police involved with drug enforcement in Metro City. A special thirteen-person task force will be formed to investigate a particular case. Officers will be assigned to this task force with membership proportional to the number of the three types of law enforcement officers. a. Apportion this task force using the Hamilton method. b. Now increase the task force's size to 14, and then to 15, and so on, redoing the apportionment each time until an Alabama paradox occurs. c. What is the first size above 13 when the paradox occurs, and what group loses an officer when the size of the task force increases? a. With 13 members, the task force consists of member(s) from the local police, federal agent(s), and member(s) from the state police.
Consider the apportionment problem for College Town. North : 5,500 , South : 4,500 , East : 7,600, West : 7,400 Suppose each council member is to represent approximately 2,100 citizens. Use Jefferson's plan assuming there must be 10 representatives.
SC Find the apportionment asked for. Show your work either by hand or Microsoft Excel (attach your work). 9) A small city has 50 police officers to be apportioned among 8 precincts based on the population of each precinct. The populations are given in the following table. Precinct total 25,95 4 6. 7 8 Population 2250 3800 3225 1800 4900 4025 2775 3175 a) Find the apportionment for each state using Hamilton's method. A COnd dour b) Find the apportionment for each state using Jefferson's method. round down to nearest round up nearest in c) Find the apportionment for each state using Webster's method. round UD d) Find the apportionment for each state using Adams' method.
A small country consists of four states, whose populations are listed below. If thelegislature has 116 seats, apportion the seats using Hamilton’s method. Does thisillustrate any apportionment issues?A: 33,700 B: 559,500 C: 141,300 D: 89,100
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 in the table. A B C D E F G Population 1283 2374 2725 2155 1592 2511 2017 State Does the Alabama paradox occur using Hamilton's method if the number of seats is increased from 160 to 161? Select one: a. No O b. Yes
2. The Norfolk General Hospital has a nursing staff of 225 nurses working in four shifts: A, B, C, and D. The number of nurses apportioned to each shift is based on the average number of patients per shift, given in the following table. Shift A Average number of patients 871 a. Describe the "states" and the "seats" in this apportionment problem. B C 1029 610 c. Find the standard quota. D 190 b. Find the standard divisor. Explain what the standard divisor represents in this specific problem.
Which of the following is the RUA that gives a new governing council member to the borax planet rather than the Calax planet using Webster's plan? A solar system consisting of five planets has a governing council of 135 members who are apportioned proportional to the populations of the planets. The population for each planet is listed in the following table. Planet Ajax Borax Calax Delphin Eljax TOTAL Population 183,000 576,000 274,000 794,000 243,000 2,025,000
A small country is comprised of five states, A, B, C, D, and E. The population of each state is given in the following table. Congress will have 58 seats divided among the five states according to their respective populations. Use Jefferson's method with d = 32,920 to apportion 58 seats. State A B D E Population 138,432 218,282 401,379 524,915 714,634 State A Number of Apportioned Seats (Type an integer.)
A boat manufacturer has 147 new boats of a new model to be apportioned to four dealerships. The manufacturer decides to apportion the boats based on the number of boats each dealership sold in the previous year. The number of boats sold by each dealership is shown below. Use the table to answer parts a through c. Dealership A B C D Total Annual Sales 5106 3580 2934 2198 13,818 a) Determine the standard divisor. 9494 (Type an integer or decimal rounded to the nearest hundredth as needed.) b) Determine each dealership's standard quota. Dealership A B C D Total Annual sales 5106 3580 2934 2198 13,818 Standard quota enter your response here enter your response here enter your response here enter your response here (Type integers or decimals rounded to the nearest hundredth as needed.)

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