Loose Leaf For Math In Our World
4th Edition
ISBN: 9781260389814
Author: David Sobecki Professor
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Question
Chapter 12.4, Problem 29E
(a)
To determine
To find: The standard divisor of the given data set.
(b)
To determine
To find: The standard quota for each store.
(c)
To determine
To find: The upper and lower quotas for each
(d)
To determine
To find: The number of new books assigned to the respective branches.
(e)
To determine
To write: The modified divisor used for the method.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The Unified Labor Council has 11 members representing the carpenters’, electricians’, plumbers’, andpainters’ unions. The four trades are represented on the council in proportion to the size of theirmembership. Suppose that there are 84 carpenters, 48 electricians, 40 pumbers, and 28 painters.
How many representatives from each trade should sit on the council if we use the Huntington-Hill method?
A Father of four children plans to distribute 40 ampao among his children based on the hours they study their subjects. If he uses the Hamilton method, what will be the fairway to divide the ampao?
Child 1
Child 2
Child 3
child 4
Total
Minutes worked
40
50
170
20
280
Standard Quota
Lower Quota
Final apportionment
Allocation
The following table below shows the number of employees in the four divisions of a corporation. There are 85 new computers that are to be apportioned among the divisions based on the number of employees in each division.
a. Use the Hamilton method to determine the number of computers to be apportioned to each division.
b. Use the Jefferson method to determine the number of computers to be apportioned to each division. Does this particular apportionment violate the quota rule?
c. Suppose the supplier of the computers decided to reward the corporation with one unit of computer and delivered it just after the deployment of the 85 units. Use the Huntington-Hill apportionment principle to determine which division will get one additional unit?
Chapter 12 Solutions
Loose Leaf For Math In Our World
Ch. 12.1 - The Student Activities Committee at Camden College...Ch. 12.1 - An election was held for the chairperson of the...Ch. 12.1 - Prob. 3TTOCh. 12.1 - Prob. 4TTOCh. 12.1 - Prob. 1ECh. 12.1 - Prob. 2ECh. 12.1 - Prob. 3ECh. 12.1 - Explain the head-to head comparison criterion.Ch. 12.1 - 5. What is a fairness criterion for an election?
Ch. 12.1 - Prob. 6E
Ch. 12.1 - Prob. 7ECh. 12.1 - Prob. 8ECh. 12.1 - Prob. 9ECh. 12.1 - Prob. 10ECh. 12.1 - Prob. 11ECh. 12.1 - Prob. 12ECh. 12.1 - Prob. 13ECh. 12.1 - Prob. 14ECh. 12.1 - Prob. 15ECh. 12.1 - For Exercises 15–18, rewrite the preference table...Ch. 12.1 - Prob. 17ECh. 12.1 - Prob. 18ECh. 12.1 - Using the election results given in Exercise 9,...Ch. 12.1 - 20. Using the election results given in Exercise...Ch. 12.1 - Prob. 21ECh. 12.1 - Prob. 22ECh. 12.1 - Using the Internet as a resource, look up the...Ch. 12.1 - Suppose that an election has seven candidates, and...Ch. 12.1 - Prob. 25ECh. 12.1 - Prob. 26ECh. 12.1 - Prob. 27ECh. 12.1 - Prob. 28ECh. 12.1 - Prob. 29ECh. 12.1 - Prob. 30ECh. 12.1 - Prob. 31ECh. 12.1 - Prob. 32ECh. 12.2 - Prob. 1TTOCh. 12.2 - Prob. 2TTOCh. 12.2 - Prob. 3TTOCh. 12.2 - If the one voter who listed softball last in the...Ch. 12.2 - Prob. 1ECh. 12.2 - Prob. 2ECh. 12.2 - Prob. 3ECh. 12.2 - Prob. 4ECh. 12.2 - Prob. 5ECh. 12.2 - Can a candidate that gets the least first-place...Ch. 12.2 - A gaming club holds a vote to decide what type of...Ch. 12.2 - The McKees Point Yacht Club Board of Directors...Ch. 12.2 - Prob. 9ECh. 12.2 - A local police union is holding an election for a...Ch. 12.2 - Students at a college were asked to rank three...Ch. 12.2 - Prob. 12ECh. 12.2 - Prob. 13ECh. 12.2 - Prob. 14ECh. 12.2 - Prob. 15ECh. 12.2 - Prob. 16ECh. 12.2 - Prob. 17ECh. 12.2 - Does the election in Exercise 12 violate the...Ch. 12.2 - An English department is voting for a new...Ch. 12.2 - The Association of Self-Employed Working Persons...Ch. 12.2 - Prob. 21ECh. 12.2 - Prob. 22ECh. 12.2 - Suppose that all 4 voters from the last column of...Ch. 12.2 - Suppose that 2 of the 4 voters from the second...Ch. 12.2 - If 2 of the voters from column 1 in Exercise 21...Ch. 12.2 - If the 3 voters in column 4 in Exercise 22 change...Ch. 12.2 - Construct a preference table for an election...Ch. 12.2 - Construct a preference table for an election...Ch. 12.2 - Construct a preference table for an election so...Ch. 12.2 - If the candidates on a preference ballot are...Ch. 12.2 - If the candidates on a preference ballot are...Ch. 12.2 - In an election with four candidates, how many...Ch. 12.2 - Based on your answers to Exercise 32, explain why...Ch. 12.2 - One way to avoid the issue described in Exercises...Ch. 12.2 - Lets talk about a modified Borda count method....Ch. 12.3 - Prob. 1TTOCh. 12.3 - Prob. 2TTOCh. 12.3 - Does the election in Try This One 2 violate the...Ch. 12.3 - Prob. 4TTOCh. 12.3 - Explain how to determine the winner of an election...Ch. 12.3 - Prob. 2ECh. 12.3 - Describe Arrows impossibility theorem. How is it...Ch. 12.3 - Prob. 4ECh. 12.3 - Prob. 5ECh. 12.3 - Which of the five voting methods we studied do you...Ch. 12.3 - If all of the voters in an approval voting...Ch. 12.3 - Fill in the table below, which summarizes our five...Ch. 12.3 - Prob. 9ECh. 12.3 - Prob. 10ECh. 12.3 - Prob. 11ECh. 12.3 - Prob. 12ECh. 12.3 - Prob. 13ECh. 12.3 - Prob. 14ECh. 12.3 - Prob. 15ECh. 12.3 - Prob. 16ECh. 12.3 - The McKees Point Yacht Club Board of Directors...Ch. 12.3 - The students in Dr. Lees math class are asked to...Ch. 12.3 - If Professor Donovan was unable to serve as...Ch. 12.3 - If the travel company from Exercise 14 loses its...Ch. 12.3 - If the West Oak Golf Club is unavailable and the...Ch. 12.3 - If a room for Dr. Lees final exam was not...Ch. 12.3 - A sports committee of students needs to choose a...Ch. 12.3 - Prob. 24ECh. 12.3 - Prob. 25ECh. 12.3 - Prob. 26ECh. 12.3 - Prob. 27ECh. 12.3 - Prob. 28ECh. 12.3 - Prob. 29ECh. 12.3 - Construct a preference table so that one candidate...Ch. 12.3 - Prob. 31ECh. 12.3 - Prob. 32ECh. 12.3 - Prob. 33ECh. 12.3 - Evaluate each voting method we studied if there...Ch. 12.3 - Suppose that in an election for city council,...Ch. 12.3 - Prob. 36ECh. 12.3 - Devise a method for breaking ties when using...Ch. 12.3 - Prob. 38ECh. 12.4 - Prob. 1TTOCh. 12.4 - Prob. 2TTOCh. 12.4 - Prob. 3TTOCh. 12.4 - Prob. 4TTOCh. 12.4 - Prob. 5TTOCh. 12.4 - Assign the 30 seats from Try This One 5 using...Ch. 12.4 - Prob. 7TTOCh. 12.4 - Prob. 8TTOCh. 12.4 - Prob. 1ECh. 12.4 - Prob. 2ECh. 12.4 - Prob. 3ECh. 12.4 - Describe how to find the upper and lower quotas...Ch. 12.4 - Prob. 5ECh. 12.4 - Prob. 6ECh. 12.4 - Prob. 7ECh. 12.4 - Prob. 8ECh. 12.4 - Prob. 9ECh. 12.4 - Prob. 10ECh. 12.4 - In Exercises 912, find the standard divisor for...Ch. 12.4 - Prob. 12ECh. 12.4 - Prob. 13ECh. 12.4 - Prob. 14ECh. 12.4 - Prob. 15ECh. 12.4 - Prob. 16ECh. 12.4 - Prob. 17ECh. 12.4 - Prob. 18ECh. 12.4 - Prob. 19ECh. 12.4 - Prob. 20ECh. 12.4 - Prob. 21ECh. 12.4 - Prob. 22ECh. 12.4 - Prob. 23ECh. 12.4 - Prob. 24ECh. 12.4 - Prob. 25ECh. 12.4 - For Exercises 2628 find: (a)The standard divisor....Ch. 12.4 - Prob. 27ECh. 12.4 - Prob. 28ECh. 12.4 - Prob. 29ECh. 12.4 - Prob. 30ECh. 12.4 - Prob. 31ECh. 12.4 - Prob. 32ECh. 12.4 - Prob. 33ECh. 12.4 - Prob. 34ECh. 12.4 - Prob. 35ECh. 12.4 - Prob. 36ECh. 12.4 - Prob. 37ECh. 12.4 - Prob. 38ECh. 12.4 - Prob. 39ECh. 12.4 - Prob. 40ECh. 12.4 - Prob. 41ECh. 12.4 - Prob. 42ECh. 12.4 - Prob. 43ECh. 12.5 - Prob. 1TTOCh. 12.5 - Try This One 2
A county with three districts has...Ch. 12.5 - Prob. 3TTOCh. 12.5 - Prob. 1ECh. 12.5 - Prob. 2ECh. 12.5 - Prob. 3ECh. 12.5 - Prob. 4ECh. 12.5 - What is the quota rule? Which apportionment...Ch. 12.5 - Prob. 6ECh. 12.5 - Prob. 7ECh. 12.5 - Prob. 8ECh. 12.5 - Prob. 9ECh. 12.5 - Prob. 10ECh. 12.5 - Prob. 11ECh. 12.5 - Prob. 12ECh. 12.5 - The table shows the enrollment at two campuses of...Ch. 12.5 - Prob. 14ECh. 12.5 - Prob. 15ECh. 12.5 - Prob. 16ECh. 12.5 - Write an essay explaining why many people feel...Ch. 12.5 - 18. Which do you think is more serious: violating...Ch. 12 - Use this information for Exercises 14: the...Ch. 12 - Use this information for Exercises 14: the...Ch. 12 - Use this information for Exercises 14: the...Ch. 12 - Prob. 4RECh. 12 - Prob. 5RECh. 12 - Prob. 6RECh. 12 - Prob. 7RECh. 12 - Prob. 8RECh. 12 - Prob. 9RECh. 12 - Prob. 10RECh. 12 - Prob. 11RECh. 12 - Prob. 12RECh. 12 - Prob. 13RECh. 12 - Prob. 14RECh. 12 - Use this information for Exercises 917: a large...Ch. 12 - Prob. 16RECh. 12 - Use this information for Exercises 917: a large...Ch. 12 - Prob. 18RECh. 12 - Prob. 19RECh. 12 - Prob. 20RECh. 12 - Prob. 21RECh. 12 - Prob. 22RECh. 12 - Prob. 23RECh. 12 - Prob. 24RECh. 12 - Prob. 25RECh. 12 - Prob. 26RECh. 12 - Prob. 27RECh. 12 - Prob. 28RECh. 12 - Prob. 29RECh. 12 - A community college bought 15 laptop computers to...Ch. 12 - Prob. 31RECh. 12 - Prob. 32RECh. 12 - Prob. 33RECh. 12 - Prob. 34RECh. 12 - Prob. 35RECh. 12 - Repeat exercise 30 using the Huntington-Hill...Ch. 12 - Prob. 37RECh. 12 - Prob. 38RECh. 12 - Prob. 39RECh. 12 - Prob. 40RECh. 12 - Prob. 41RECh. 12 - Prob. 42RECh. 12 - Prob. 43RECh. 12 - Prob. 1CTCh. 12 - Prob. 2CTCh. 12 - Prob. 3CTCh. 12 - Prob. 4CTCh. 12 - Prob. 5CTCh. 12 - Prob. 6CTCh. 12 - Prob. 7CTCh. 12 - Prob. 8CTCh. 12 - Use this information for Exercises 512: a small...Ch. 12 - Prob. 10CTCh. 12 - Prob. 11CTCh. 12 - Prob. 12CTCh. 12 - Prob. 13CTCh. 12 - An airline offers nonstop flights from Fort...Ch. 12 - Prob. 15CTCh. 12 - Repeat Problem 14 using Websters method.Ch. 12 - Repeat Problem 14 using the Huntington-Hill...Ch. 12 - Prob. 18CTCh. 12 - Prob. 19CTCh. 12 - Prob. 20CTCh. 12 - Prob. 21CT
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
- The Unified Labor Council has 11 members representing the carpenters’, electricians’, plumbers’, andpainters’ unions. The four trades are represented on the council in proportion to the size of theirmembership. Suppose that there are 84 carpenters, 48 electricians, 40 pumbers, and 28 painters. How many representatives from each trade should sit on the council if we use the Hamilton method?arrow_forwardOn a 10-member board, Company A (with 850 stockholders) has 3 representatives while Company B(with 1,200 stockholders) has 4 representatives. Calculate the relative unfairness of this apportionment.arrow_forwardUsing Webster's Method, if the modified quota is 50,100 and the population for State J is 1, 646,000, then the exact number of seats to be apportioned for State J is Group of answer choices 33 34 31 32arrow_forward
- SUPPOSE THE 18 MEMBERS ON THE BOARD OF THE PROVINCE OF BATANGAS ARE SELECTED ACCORDING TO THE POPULATIONS OF THE 3 CITIES AND 2 BIG TOWNS AS SHOWN BELOW. A. USE THE HAMILTON METHOD TO DETERMINE THE NUMBER OF BOARD MEMBERS EACH CITY AND MUNICIPALITY SHOULD HAVE. B. USE THE JEFFERSON METHOD TO DETERMINE THE NUMBER OF BOARD MEMBER EACH CITY AND MUNICIPALITIES SHOULD HAVE City - Population Batangas - 2,694,335 Tanauan - 173,400 Lipa - 332,386 Lemery - 93,157 Taal - 56,327arrow_forwardThe first six problems relate to the results of apportioning seats to states according to different methods. In the nation of Gulfiana, the Legislature offers 27 seats, to be apportioned according to each state's population. State Population Alassippi 16,600 Florgia 8,381 Louisiansas 5,885 Kennessee 1,950 To answer the next six problems, it is recommended you determine the apportionment of the Legislature according to Jefferson's Method, Adams' Method, and Webster's Method. Helpful Nudge: To cut down on trial-and-error, consider the following list of numbers. This list includes appropriate modified divisors for each of these methods. 1085 1150 1215 1250 1325 How many seats does Florgia get according to the Jefferson apportionment?arrow_forwardThe first six problems relate to the results of apportioning seats to states according to different methods. In the nation of Gulfiana, the Legislature offers 27 seats, to be apportioned according to each state's population. State Population Alassippi 16,600 Florgia 8,381 Louisiansas 5,885 Kennessee 1,950 To answer the next six problems, it is recommended you determine the apportionment of the Legislature according to Jefferson's Method, Adams' Method, and Webster's Method. Helpful Nudge: To cut down on trial-and-error, consider the following list of numbers. This list includes appropriate modified divisors for each of these methods. 1085 1150 1215 1250 1325 How many seats does Alassippi get according to the Jefferson apportionment?arrow_forward
- State A and state B are each candidates for an extra congressional representative. The relative unfairness of apportionment for state A is approximately 0.35, whereas for state B it is about 0.348. According to the apportionment principle, which of the two states should receive a new representative? Explain why. State A, because it has the larger relative unfairness. State A, because it has the smaller relative unfairness. State B, because it has the larger relative unfairness. State B, because it has the smaller relative unfairnessarrow_forwardTo protect baby scallops and ensure the survival of the species, the U.S. Fisheries and WildlifeService requires that an average scallop must weigh at least 1/36 pound. The harbormaster at a Massachusetts port randomly selected 18 bags of scallops from 11,000 bags on an arriving ves-sel. From each bag, agents took a large scoop of scallops, separated and weighed the meat, and divided by the number of scallops in the scoop, f nding a mean weight of 1/39 pound. (a) Wouldthe population of 11,000 bags be considered effectively inf nite in this case? (b) Which valuerepresents a sample statistic: 1/36 or 1/39?arrow_forwardA large hotel chain needs to apportion 20 new surfboards for its visitors to rent among three hotels based on the numbers of rooms in each hotel as shown below. Use the table to answer parts (a) and (b). Hotel A B C Total Number of rooms 202 172 186 560 a) Determine each hotel's modified quota using the divisor 29. Hotel A B C Total Number of rooms 202 172 186 560 Modified Quota enter your response here enter your response here enter your response here (Round to the nearest hundredth as needed.)arrow_forward
- In firm worked 12 engineers and 8 electricians. A committee consisting of 3 engineers and 2electricians need to be elected. How many possible choices are there?arrow_forwardForty-eight percent of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino California registered voters, 55% prefer life in prison without parole over the death penalty for a person convicted of first degree murder. 37.6% of all Californians are Latino. In this problem, let: C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first degree murder. L = Latino Californiansarrow_forwardForty-eight percent of all California registered voters prefer life in prison without parole over the death penalty for a person convicted of first-degree murder. Among Latino California registered voters, 55% prefer life in prison without parole over the death penalty for a person convicted of first-degree murder. 37.6% of all Californians are Latino.In this problem, let: • C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first-degree murder.• L = Latino Californians 4. What is C|L? Explain your response.arrow_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