**QUESTION 1**An organization has four departments: A with 680 employees, B with 830 employees, C with 1,020, and D with 1,400 employees. Suppose that it has membership on the council proportional to the number of employees in the four departments.Apportion 12 representative seats to these four departments. Assign the seats using the Hamilton apportionment method.- A gets _____ seats.- B gets _____ seats.- C gets _____ seats.- D gets _____ seats.

Given, An organization has four departments: A with 680 employees, B with 830 employees, C with…

Answered: QUESTION 1 An organization has four…

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?
The apportionment method that requires rounding the standard quota down to the lower quota is called X a. Jefferson's method b. Adams' method c. Webster's method d. Hamilton's method Question 11 A group called Physicians Medical Organization provides 85 medical clinics. The organization has hired 85 doctors. Since the clinics do not serve all the same number of patients, the organization decides to apportion the 85 doctors based on the number of patients who visit each clinic in a given week. Clinic A В C E Total Patients 350 221 205 233 250 1259 Use Hamilton's method for apportionment to determine how many doctors each clinic receives. a. A: 24 doctors, B: 15 doctors, C: 14 doctors, D: 15 doctors, E: 17 doctors X b. A: 23 doctors, B: 14 doctors, C: 13 doctors, D: 15 doctors, E: 16 doctors C. A: 24 doctors, B: 14 doctors, C: 14 doctors, D: 16 doctors, E: 17 doctors d. A: 24 doctors, B: 15 doctors, C: 14 doctors, D: 16 doctors, E: 16 doctors
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.
A newly established country has 4 states, A, B, C, and D. Their populations are in the table. The states share 120 representatives. The governors of these states agree that the seats should be apportioned using Adam’s method of apportionment. What is the sum of the first upper quota for the four states?
Answer: 1. Use Huntington-Hill’s method to apportion the 135 council members
The divider-chooser method is best suited for which of the following scenarios?A) Mike and Jack were given a list of errands to run by their mom. They need to divide the list between them as fairly as possible.B) Mike and Jack were given a vintage car by their parents and must decide who gets to have the car.C) Voters must choose a candidate between two candidates.D) The number of seats given to a territory in the house of representatives must bedetermined.
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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:
The legislature in a state has 53 seats. Apportion these seats to the five counties below using the Huntington-Hill method. County Population Seats Received Adams 180,000 Grant 326,000 Colton 464,000 Davis 333,000 Hayes 415,000
suppose and electronics company has three divisions D digital C computers and B business products division D has 142 employees see has 84 and B has 27 assume that 12 member quality improvement counsel has membership on the council proportional to the number of employees in the three divisions a. apportion this council using Hamilton method b. now increase the councils size to 13 and then to 14 and apportion this council using Hamilton method. c. what is the first size above 12 when the Alabama paradox, occurs, and what division loses a seat when the size of the council increases.

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