Excursions in Modern Mathematics, Books a la carte edition (9th Edition)
9th Edition
ISBN: 9780134469041
Author: Peter Tannenbaum
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 4, Problem 50E
A country consists of six states, with the state’s populations given in Table 4-39. The number of seats to be apportioned is
Table 4-39
State | A | B | C | D | E | F |
Population | 344,970 | 204,950 | 515,100 | 84,860 | 154,960 | 695,160 |
a. Find the apportionment under Webster’s method.
b. Find the apportionment under the Huntington-Hill method.
c. Compare the apportionments found in (a) and (b).
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Twenty sections of bilingual math courses, taught in both English and Spanish, are to be offered in introductory algebra, intermediate algebra, and liberal arts math.
The preregistration figures for the number of students planning to enroll in these bilingual sections are given in the following table. Use Webster's method with
d = 29.6 to determine how many bilingual sections of each course should be offered.
Course
Introductory Algebra
Intermediate Algebra
Liberal Arts Math
Enrollment
139
271
182
.....
Course
Introductory Algebra
Number of Apportioned Sections
(Type an integer.)
Course
Intermediate Algebra
Number of Apportioned Sections
9
(Type an integer.)
Course
Liberal Arts Math
Number of Apportioned Sections
(Type an integer.)
A hospital has 199 nurses to be apportioned among four shifts: Shifts A, B, C, and D. The hospital decides to apportion the nurses based on the average number of room calls reported during each shift. Room calls are shown in the table below. Use the table to determine each shift's apportionment using Jefferson's method.
Shift
A
B
C
D
Total
Room calls
856
995
518
218
2587
Determine each shift's apportionment using Jefferson's method. (Note: Divisors do not have to be whole numbers.)
Twenty sections of bilingual math courses, taught in both English and Spanish, are to be offered in introductory algebra, intermediate algebra, and liberal arts math.
The preregistration figures for the number of students planning to enroll in these bilingual sections are given in the following table. Use Webster's method with
d = 29.6 to determine how many bilingual sections of each course should be offered.
Course
Introductory Algebra| Intermediate Algebra
Liberal Arts Math
Enrollment
139
271
182
.....
Course
Introductory Algebra
Number of Apportioned Sections
5
(Type an integer.)
Course
Intermediate Algebra
Number of Apportioned Sections
(Type an integer.)
Chapter 4 Solutions
Excursions in Modern Mathematics, Books a la carte edition (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...
Knowledge Booster
Learn more about
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
- A hospital has 195 nurses to be apportioned among four shifts: Shifts A, B, C, and D. The hospital decides to apportion the nurses based on the average number of room calls reported during each shift. Room calls are shown in the table below. Use the table to determine each shift's apportionment using Jefferson's method. Shift Room calls A B C D Total 773 921 491 155 2340 Determine each shift's apportionment using Jefferson's method. (Note: Divisors do not have to be whole numbers.) Shift Room calls Nurses A B C D Total 773 921 491 155 2340 (Type whole numbers.)arrow_forwardAnswer: 1. Use Huntington-Hill’s method to apportion the 135 council membersarrow_forwardplease help me fast....arrow_forward
- A small country with a population of 8,000,000 consists of four states, A, B, C, and D. There are 200 seats in the legislature that need to be apportioned among the four states. The population of each state is shown in the table. Use the table to answer parts (a) and (b). State A B C D Total 8,000,000 Population 1,575,000 2,403,000 968,000 3,054,000 a) Determine each state's modified quota using the divisor 39,400. State A B Population 1,575,000 2,403,000 Modified Quota (Round to the nearest hundredth as needed.) b) Determine each state's apportionment using Jefferson's method. State A B Population 1,575,000 2,403,000 Number of seats (Type a whole number.) C 968,000 968,000 D 3,054,000 D 3,054,000 Total 8,000,000 Total 8,000,000 200arrow_forwardTwenty sections of bilingual math courses, taught in both English and Spanish, are to be offered in introductory algebra, intermediate algebra, and liberal arts math. The preregistration figures for the number of students planning to enroll in these bilingual sections are given in the following table. Use Webster's method with d = 29.6 to determine how many bilingual sections of each course should be offered. Course Introductory Algebra Intermediate Algebra Liberal Arts Math 198 Enrollment 130 279 Carrow_forwardA small country with a population of 8,000,000 consists of four states, A, B, C, and D. There are 160 seats in the legislature that need to be apportioned among the four states. The population of each state is shown in the table. Use the table to answer parts (a) and (b). State A D Total Population 1,987,000 2,155,000 917,000 2,941,000 8,000,000 ... a) Determine each state's modified quota using the divisor 49,400. State A В C D Total Population 1,987,000 2,155,000 917,000 2,941,000 8,000,000 Modified Quota (Round to the nearest hundredth as needed.)arrow_forward
- Suppose that a small country with a population of 2,800,000 that consists of four states, A, B, C, and D. There are 140 seats in the legislature that need to be apportioned among the four states. The population of each state is shown in the table. Use the table to answer parts (a) and (b). State A B C D Total Population 488,000 1,096,000 343,000 873,000 2,800,000 a) Determine the standard divisor. The standard divisor is ?. (Simplify your answer.)arrow_forwardA rapid transit service operates 70 buses along six routes, A, B, C, D, E, and F. The number of buses assigned to each route is based on the average number of daily passengers per route is given in the following table. Use Jefferson's method with d= 39.8 to apportion the buses. Average number of daily passengers per route Route B C E F Average Number of 316 598 396 692 426 486 Passengers Buses or Route A= Buses for Route B = Buses for Route C= Buses for Route D = Buses for Route E = Buses for Route E =arrow_forwardThe table shows the results of a country's census. 102 seats must be divided among the 15 states according to their populations. Use Webster's method with d = 35,500 to find each state's apportionment of congressional seats. 331,298 353,865 432,285 67,893 203,003 85.947 A 235,263 54,758 70,417 67,617 B J D L 272,331 474,414 141,816 F G 630,598 178,320 Fill in the table to indicate the correct number of seats apportioned to each state. State Seats A 2 2 D 2 E 8 F 13 4 H 9 J 10 12 19 M 6 N 2 18arrow_forward
- A small country is comprised of five states, A, B, C, D, and E. The population of each state is given in the following table. Congress will have 54 seats divided among the five states according to their respective populations. Use Jefferson's method with d = 32,920 to apportion 54 seats. State Population A 119,678 B 184.529 с D E 316,641 537,438 703,188arrow_forward8, answer b chartarrow_forwardA hospital has 191 nurses to be apportioned among four shifts: Shifts A, B, C, and D. The hospital decides to apportion the nurses based on the average number of room calls reported during each shift. Room calls are shown in the table below. Use the table to determine each shift's apportionment using Jefferson's method. Shift A B C D Total Room calls 770 635 504 192 2101 Determine each shift's apportionment using Jefferson's method. (Note: Divisors do not have to be whole numbers.) Shift A B C D Total Room calls 770 635 504 192 2101 Nursesarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education
Discrete Mathematics and Its Applications ( 8th I...
Math
ISBN:9781259676512
Author:Kenneth H Rosen
Publisher:McGraw-Hill Education
Mathematics for Elementary Teachers with Activiti...
Math
ISBN:9780134392790
Author:Beckmann, Sybilla
Publisher:PEARSON
Thinking Mathematically (7th Edition)
Math
ISBN:9780134683713
Author:Robert F. Blitzer
Publisher:PEARSON
Discrete Mathematics With Applications
Math
ISBN:9781337694193
Author:EPP, Susanna S.
Publisher:Cengage Learning,
Pathways To Math Literacy (looseleaf)
Math
ISBN:9781259985607
Author:David Sobecki Professor, Brian A. Mercer
Publisher:McGraw-Hill Education
Solve ANY Optimization Problem in 5 Steps w/ Examples. What are they and How do you solve them?; Author: Ace Tutors;https://www.youtube.com/watch?v=BfOSKc_sncg;License: Standard YouTube License, CC-BY
Types of solution in LPP|Basic|Multiple solution|Unbounded|Infeasible|GTU|Special case of LP problem; Author: Mechanical Engineering Management;https://www.youtube.com/watch?v=F-D2WICq8Sk;License: Standard YouTube License, CC-BY
Optimization Problems in Calculus; Author: Professor Dave Explains;https://www.youtube.com/watch?v=q1U6AmIa_uQ;License: Standard YouTube License, CC-BY
Introduction to Optimization; Author: Math with Dr. Claire;https://www.youtube.com/watch?v=YLzgYm2tN8E;License: Standard YouTube License, CC-BY