Excursions in Modern Mathematics, Books a la Carte Edition Plus MyLab Math -- Access Card Package (9th Edition)
9th Edition
ISBN: 9780134765839
Author: Peter 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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Which one of the apportionment methods studied does not violate the quota rule?
Group of answer choices
Hamilton's Method
Jefferson's Method
Adam's Method
Webster's Method
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
?
?
?
?
?
61
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 West
Chapter 4 Solutions
Excursions in Modern Mathematics, Books a la Carte Edition Plus MyLab Math -- Access Card Package (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
- Which apportionment paradox may be produced by the Adams' method but not the Webster method?arrow_forward1) find the mode of regions for the states that voted for the Democratic and for the Republic respectively and explain the findings.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
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