A small country with a population of 8,000,000 consists of four states, A, B, C, and D. There are 160 seats in thelegislature that need to be apportioned among the four states. The population of each state is shown in the table. Usethe table to answer parts (a) and (b).StatePopulationA1,365,000StateB2,044,000a) Determine each state's modified quota using the divisor 49,400.PopulationModified Quota(Round to the nearest hundredth as needed.)1,365,000#000C999,000B2,044,000C999,0003,592,000D3,592,000Total8,000,000Total8,000,000

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Answered: A small country with a population of…

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 comprised of four states, A, B, C, and D. The population of each state, in thousands, is given in the following table. State Population (in thousands) A B 75 148 C D 285 392 According to the country's constitution, the congress will have 90 seats, divided among the four states according to their respective populations. a) Find the standard divisor, in thousands. How many people are there for each seat in congress? standard divisor: number of people for each seat: (Type an integer in each box.) b) Find each state's standard quota. (Two of them have been done for you.) State Population (in thousands) Standard quota A D 75 392 7.5 39.2 (Type an integer or a decimal rounded to two decimal places, if necessary, in each box.) B C 148 285 Total 900 Total 900
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A boat manufacturer has 153 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 Annual Sales A Total 5052 3635 3275 2267 14,229 ... a) Determine the standard divisor. (Type an integer or decimal rounded to the nearest hundredth as needed.)
Use Thomas Jefferson's method to solve the following problem. Suppose a legislature in a state has five counties and a representative body with 56 seats. The population for each of the counties are shown below. How many seats should each county get? Use the Jefferson's Method of apportionment and Excel or Google Sheets. Fill in the information below. County Population Standard Lower Modified Modified Quota Quota Quota Lower Quota County 1 County 2 County 3 County 4 County 5 Total 550,000 382,000 120,000 365,000 226,000 Find the standard divisor and modified divisor. Standard divisor = Modified divisor:
A small country is comprised of four states, A, B, C, and D. The population of each state is given in the following table. State A B Total 144,000 208,000 432,000 496,000 1,280,000 3.6 5.2 10.8 12.4 Population Standard quota According to the country's constitution, the congress will have 32 seats, divided among the four states according to their respective populations. Determine each state's apportionment using Hamilton's method where the standard divisor is 40. Complete the table below. State Population Allocated seats B D 144,000 208,000| 432,000 496,000 5 (Type integers or simplified fractions.) Total 1,280,000 32 Ele
7
A small country is comprised of four states, A, B, C, and D. The population of each state, in thousands, is given in the following table. State Total A B C D Population (in thousands) 205 465 845 1085 2600 According to the country's constitution, the congress will have 65 seats, divided among the four states according to their respective populations. a) Find the standard divisor, in thousands. How many people are there for each seat in congress? standard divisor: number of people for each seat: (Type an integer in each box.) b) Find each state's standard quota. (Two of them have been done for you.) c) Find each state's lower quota and upper quota. State Lower Quota Upper Quota A (Type an integer in each box.) State A B 205 465 1085 Population (in thousands) Standard quota 5.13 27.13 (Type an integer or a decimal rounded to two decimal places, if necessary, in each box.) State Lower Quota Upper Quota B (Type an integer in each box.) C D State Lower Quota Upper Quota C (Type an integer…
A small country with a population of 6,000,000 consists of four states, A, B, C, and D. There are 150 seats in the legislature that need to be apportioned among the four states. The population of each state is shown in the table. Determine each state's apportionment using Webster's method using the standard divisor. State A B C D Total J Population 1,250,000 2,728,000 875,000 1,147,000 6,000,000 Complete the table below. State Population Number of seats (Type whole numbers.) A 1,250,000 B 2,728,000 C 875,000 D 1,147,000 Total 6,000,000 150

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