Excursions In Modern Mathematics, 9th Edition
9th Edition
ISBN: 9780134494142
Author: Tannenbaum
Publisher: PEARSON
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Question
Chapter 4, Problem 71E
To determine
(a)
To interpret:
Any violations of the quota rule must be upper-quota violations in the Jefferson’s method.
To determine
(b)
To interpret:
Any violations of the quota rule must be lower-quota violations in the Adams’s method.
To determine
(c)
To interpret:
In the case of an apportionment problem with two states, violations of the quota rule cannot occur under either Jefferson’s or Adams’s method.
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QUESTION 12
Which method of apportionment always satisfies the quota condition?
OA. Hill-Huntington
B. Jefferson
OC. Hamilton
OD. Webster
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
Jefferson's method, Webster's method, and Adams's method require using a _______ quota.
Chapter 4 Solutions
Excursions In Modern Mathematics, 9th Edition
Ch. 4 - The Bandana Republic is a small country consisting...Ch. 4 - The Republic of Wadiya is a small country...Ch. 4 - The Scotia Metropolitan Area Rapid Transit Service...Ch. 4 - University Hospital has five major units:...Ch. 4 - The Republic of Tropicana is a small country...Ch. 4 - Tasmania State University is made up of five...Ch. 4 - There are 435 seats in the U.S. House of...Ch. 4 - There are 435 seats in the U.S. House of...Ch. 4 - The Interplanetary Federation of Fraternia...Ch. 4 - The small island nation of Margarita is made up of...
Ch. 4 - Find the apportionment under Hamiltons method of...Ch. 4 - Find the apportionment under Hamiltons method of...Ch. 4 - Find the apportionment under Hamiltons method of...Ch. 4 - Find the apportionment under Hamiltons method of...Ch. 4 - Find the apportionment under Hamiltons method of...Ch. 4 - Find the apportionment under Hamiltons method of...Ch. 4 - Find the apportionment under Hamiltons method of...Ch. 4 - Find the apportionment under Hamiltons method of...Ch. 4 - Happy Rivers County consists of three towns:...Ch. 4 - Plainville Hospital has three wings A, B, and C....Ch. 4 - The small nation of Fireland is divided into four...Ch. 4 - The Republic of Galatia is divided into four...Ch. 4 - Find the apportionment under Jeffersons method of...Ch. 4 - Find the apportionment under Jeffersons method of...Ch. 4 - Find the apportionment under Jeffersons method of...Ch. 4 - The small republic of Guayuru see Example 4.11...Ch. 4 - Find the apportionment under Jeffersons method of...Ch. 4 - Find the apportionment under Jeffersons method of...Ch. 4 - Find the apportionment under Jeffersons method of...Ch. 4 - Find the apportionment under Jeffersons method of...Ch. 4 - Find the apportionment under Adamss method of the...Ch. 4 - Find the apportionment under Adamss method of the...Ch. 4 - Find the apportionment under Adamss method of the...Ch. 4 - Find the apportionment under Adamss method of the...Ch. 4 - Find the apportionment under Websters method of...Ch. 4 - Find the apportionment under Websters method of...Ch. 4 - Find the apportionment under Websters method of...Ch. 4 - Find the apportionment under Websters method of...Ch. 4 - Find the apportionment under Websters method of...Ch. 4 - Find the apportionment under Websters method of...Ch. 4 - Round each number using the Huntington-Hill...Ch. 4 - Round each number using the Huntington-Hill...Ch. 4 - In the 2010 apportionment of the U.S. House of...Ch. 4 - In the 2010 apportionment of the U.S. House of...Ch. 4 - A small country consists of five states: A, B, C,...Ch. 4 - A small country consists of five states: A, B, C,...Ch. 4 - A small country consists of five states: A, B, C,...Ch. 4 - A small country consists of five states: A, B, C,...Ch. 4 - A country consists of six states, with the states...Ch. 4 - A country consists of six states, with the states...Ch. 4 - If the standard quota of state X is 35.41, then...Ch. 4 - If the standard quota of state Y is 78.24, then...Ch. 4 - If the standard quota of state X is 35.41, then...Ch. 4 - If the standard quota of state Y is 78.24, then...Ch. 4 - If the standard quota of state X is 35.41, then...Ch. 4 - If the standard quota of state Y is 78.24, then...Ch. 4 - At the time of the 2000 Census, Californias...Ch. 4 - At the time of the 2000 Census, Californias...Ch. 4 - This exercise refers to the apportionment of...Ch. 4 - This exercise refers to the apportionment of...Ch. 4 - Exercises 61 and 62 are based on the following...Ch. 4 - Exercises 61 and 62 are based on the following...Ch. 4 - This exercise comes in two parts. Read Part I and...Ch. 4 - This exercise comes in two parts. Read Part I and...Ch. 4 - The small island nation of Margarita consists of...Ch. 4 - Prob. 66ECh. 4 - Prob. 67ECh. 4 - Prob. 68ECh. 4 - Prob. 69ECh. 4 - Consider the problem of apportioning M seats...Ch. 4 - Prob. 71ECh. 4 - Prob. 72ECh. 4 - Lowndess Method. Exercises 73 and 74 refer to a...Ch. 4 - Prob. 74ECh. 4 - Prob. 75ECh. 4 - Explain why the Jeffersons method cannot produce...Ch. 4 - Explain why the Adamss method cannot produce a.the...Ch. 4 - Explain why the Websters method cannot produce...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Consider the apportionment of 60 doctors for a physicians organization. The apportionment using Hamilton's method is shown in the table below. Does the Alabama paradox occur using Hamilton's method if the number of doctors is increased from 60 to 61? Clinic A B C D E Total Patients 656 536 515 549 602 2858 Standard quota 13.77 11.25 10.81 11.53 12.64 60.00 Lower quota 13 11 10 11 12 57 Hamilton's apportionment 14 11 11 11 13 60 Complete the table below with the new apportionment for clinics A, B, C, D, and E using a standard divisor rounded to two decimal places. Clinic A B C D E Total Patients 656 536 515 549 602 2858 Hamilton's apportionment ? ? ? ? ? 61arrow_forwardConsider the apportionment of 40 doctors for a physicians organization. The apportionment using Hamilton's method is shown in the table below. Does the Alabama paradox occur using Hamilton's method if the number of doctors is increased from 40 to 41? Clinic A B C D E Total Patients 574 469 461 495 520 2519 Standard quota 9.11 7.45 7.32 7.86 8.26 40.00 Lower quota 9 7 7 7 8 38 Hamilton's apportionment 9 8 7 8 8 40 Complete the table below with the new apportionment for clinics A, B, C, D, and E using a standard divisor rounded to two decimal places. Clinic A B C D E Total Patients 574 469 461 495 520 2519 Hamilton's apportionment enter your response here enter your response here enter your response here enter your response here enter your response here 41arrow_forwardQUESTION 11 An apportionment method exists that satisfies the quota condition and is free from both the population paradox and the Alabama paradox. True Falsearrow_forward
- Consider the following apportionment problem, table[]North, 18, 400, East: 17,400 (South: 12,200, West: 14,000, Use the apportionment plan requested below assuming that there must be zs representatives. Jefferson's plan North South East Westarrow_forward3. Using Jefferson plan method (JP), What leisure activities do you participate in? In the table below are five activities and the approximate number of participants (in millions) in each. EXERCISE 150 SPORTS 90 CHARITY WORK 85 НОМE REPAIR 130 COMPUTER 80 PARTS Suppose you wish to allocate $100 million to pro- mote leisure activities on the basis of the пиmber of partiсіpants. A) Find the modified quota for each activity using the divisor 5.25. B) Find how much money should be apportioned to each activity using Jefferson's method.arrow_forwardWhich of the following apportionment methods can violate the quota rule? (Select all that apply.) Webster method, Jefferson method, Hamilton method, Huntington-Hill methodarrow_forward
- 1) find the mode of regions for the states that voted for the Democratic and for the Republic respectively and explain the findings.arrow_forward2. What is violated if three unassigned seats are all given to just one state after the Hamilton method of apportionment is applied? Apportionment Principle Relative Unfairness of Apportionment Quota Rule Absolute Unfairness of Apportionmentarrow_forwardIn Question 2 we calculated the standard quota for the Republic of Wadiya. Recall that the Republic of Wadiya is apportioning M=200 congressional seats among four provinces. The province's populations are shown in the table below. A B C D Population 4,360,000 2,280,000 729,000 2,631,000 Find the apportionment under Hamilton's method of the Republic of Wadiyah Congress: A gets Answer seats, B gets Answer seats, C gets Answer seats, and D gets Answer.arrow_forward
- 2. The acreage of five county parks in Hillsborough County is shown in the table below. Suppose the county wishes to distribute 75 new park rangers among these five parks. Lake Park E. G. Simmons Lettuce Lake Lithia Springs Eureka Springs 600 470 240 160 30 a. Find the modified quota for each park using the divisor 20.5 b. Find the number of rangers that should be allocated to each park using Adam's method.arrow_forwardConsider 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.arrow_forwardUse 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.arrow_forward
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