European countries'populations, 2010Country Population64,770,00081,640,00060,750,00046,510,00010,420,000FranceGermanyItalySpainBelgiumSOURCE: U.S. Census Bureau,International Data Base▼ check your progressSuppose the 20 members of a committee fromfive European countries are selected according to the populations of the five countries,as shown in the table at the left.a. Use the Hamilton method to determine the number of representatives each countryshould have.b. Use the Jefferson method to determine the number of representatives each countryshould have.Solution See page S12.Suppose that the environmental agency in Example 1 decides to add one more mem-ber to the board even though the population of each city remains the same. The totalnumber of members is now 19, and we must determine how the members of the board willbe apportioned.20,000The standard divisor is now 20,000 1052.63. Using Hamilton's method, the

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Answered: European countries' populations, 2010…

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 is made up of three separate islands: Eno, with a population of 100,300, Owt, with a population of 9,405, and Eerht with a population of 90,295. The country has a senate with 200 members whose 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. Use Hamilton's method to apportion the 201 seats. c. Compare your results from parts (a) and (b). This is an example of which paradox?
3. Sixteen new police officers are to be assigned to four precincts. The population of the precincts are shown. Determine, how many of the 16 new offices each precinct should receive. Precinct 1 3 4 Total Population 3,562 8,471 2,146 5,307 19,486 Find: a. The standard divisor. b. The standard quota for each school. c. The upper and lower quota for each school. d. Assignment of seats using Webster's Method. e. Write the modified divisor you used.
(5)
Suppose a nation has 5 states, with populations shown in the chart below. The representative body had 150 seats. Find: the standard divisor, the modified divisor, and the distribution of representatives to each state. Then complete the table. Round all standard and modified quotas to 7 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator
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
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Use Huntington-Hill's method of apportionment to solve the following problems. 3. Suppose a nation has 4 states, with populations shown in the chart below. The representative body had 80 seats. a.) Find the standard divisor and the distribution of representatives to each state using the Huntington-Hill method of apportionment. Round the standard quotas to 7 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator. Representative Seats State D Total Standard Divisor 80 Population Standard Quotas 100 200.650 324.150 875,400 456,200 1,856,400 Round Down Round Geometric Up Mean Huntington- Hill's Method b.) Find the modified divisor and the distribution of representatives to each state using the Huntington-Hill method of apportionment. Round the modified quotas to 7 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator.
Use Adams's method of apportionment to solve the following problem. -1. Suppose a nation has 6 states, with populations shown in the chart below. The representative body had 200 seats. Find: the standard divisor, the modified divisor, and the distribution of representatives to each state Then complete the table. Round all standard and modified quotas to 7 decimal places if needed You can use a spreadsheet to help you figure out an answer or calculate using a calculator.

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