Math

Mathematical Excursions (MindTap Course List)Technology A company has four offices. The president of the company uses the Hamilton method to apportion 66 new computer printers among the offices based on the number of employees at each office. a. If the number of printers to be apportioned by the Hamilton method increases from 66 to 67, will the Alabama paradox occur? Explain. b. If the number of printers to be apportioned by the Hamilton method increases from 67 to 68, will the Alabama paradox occur? Explain.BuyFind*launch*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4, Problem 5RE

Textbook Problem

Technology A company has four offices. The president of the company uses the Hamilton method to apportion 66 new computer printers among the offices based on the number of employees at each office.

a. If the number of printers to be apportioned by the Hamilton method increases from 66 to 67, will the Alabama paradox occur? Explain.

b. If the number of printers to be apportioned by the Hamilton method increases from 67 to 68, will the Alabama paradox occur? Explain.

Mathematical Excursions (MindTap Course List)

Ch. 4.1 - Verify this apportionment using the Jefferson...Ch. 4.1 - Find the apportionment that would have resulted if...Ch. 4.1 - Give each state one representative. Use the...Ch. 4.1 - Find the apportionment that would have resulted if...Ch. 4.1 - Explain how to calculate the standard divisor of...Ch. 4.1 - Teacher Aides A total of 25 teacher aides are to...Ch. 4.1 - In the Hamilton apportionment method, explain how...Ch. 4.1 - What is quota rule?Ch. 4.1 - Governing Boards The following table shows how the...Ch. 4.1 - Forest Rangers The table below shows how the...

Ch. 4.1 - Sales Associates The table below shows the number...Ch. 4.1 - Hospital Interns The table below shows the number...Ch. 4.1 - House of Representatives The U.S. House of...Ch. 4.1 - College Enrollment The following table shows the...Ch. 4.1 - Medical Care A hospital district consists of six...Ch. 4.1 - What is the Alabama paradox?Ch. 4.1 - What is the population paradox?Ch. 4.1 - What is the new states paradox?Ch. 4.1 - 15. What is the Balinski-Young Impossibility...Ch. 4.1 - Apportionment of Projectors Consider the...Ch. 4.1 - Hotel Management A company operates four resorts....Ch. 4.1 - College Security A college apportions 40 security...Ch. 4.1 - Management Scientific Research Corporation has...Ch. 4.1 - Education The science division of a college...Ch. 4.1 - Elementary School Teachers The following table...Ch. 4.1 - Social Workers The following table shows the...Ch. 4.1 - Computer Usage The table below shows the number of...Ch. 4.1 - The population of Illinois increased by over...Ch. 4.1 - 25. The population of Louisiana increased 1.4%...Ch. 4.1 - House of Representatives Currently. the U.S. House...Ch. 4.1 - Computer Usage Use the Webster method to apportion...Ch. 4.1 - Demographics The table below shows the populations...Ch. 4.1 - Which of she following apportionment methods can...Ch. 4.1 - According to Michael Balinski and H. Peyton Young,...Ch. 4.1 - 31. What method is presently used to apportion the...Ch. 4.1 - 32. According to the 2010 census, what is the...Ch. 4.1 - John Quincy Adams, the sixth president of the...Ch. 4.1 - In the Huntington-Hill method of apportionment,...Ch. 4.1 - Deriving the Huntington-Hill Number The...Ch. 4.2 - Using the Borda method of voting, which flavor of...Ch. 4.2 - Instead of using the normal Borda method, suppose...Ch. 4.2 - Suppose the Borda method used in Exercise I of...Ch. 4.2 - Suppose the Borda method used in Exercise I of...Ch. 4.2 - Suppose the Borda method used in Exercise 1 of...Ch. 4.2 - Can the assignment of points for first. Second,...Ch. 4.2 - Suppose the assignment of points for first,...Ch. 4.2 - What is the difference between a majority and a...Ch. 4.2 - Explain why the plurality voting system may not be...Ch. 4.2 - Explain how the Borda Count method of voting...Ch. 4.2 - Explain how the plurality with elimination voting...Ch. 4.2 - 5. Explain how the pairwise comparison voting...Ch. 4.2 - What does the Condorcet criterion say?Ch. 4.2 - Is there a best voting method? Is one method more...Ch. 4.2 - Explain why. if only two candidates are running,...Ch. 4.2 - Presidential Election The table below shows the...Ch. 4.2 - Breakfast Cereal Sixteen people were asked to rank...Ch. 4.2 - Cartoon Characters A kindergarten class was...Ch. 4.2 - Catering A 15-person committee is having lunch...Ch. 4.2 - Movies Fifty consumers were surveyed about their...Ch. 4.2 - Breakfast Cereal Use the Borda count method of...Ch. 4.2 - Cartoons Use the Borda count method of voting to...Ch. 4.2 - Catering Use the Borda count method of voting to...Ch. 4.2 - Class Election A senior high school class held an...Ch. 4.2 - Cell Phone Usage A journalist reviewing various...Ch. 4.2 - Baseball Uniforms A Little League baseball team...Ch. 4.2 - Radio Stations A number of college students were...Ch. 4.2 - Class Election Use plurality with elimination to...Ch. 4.2 - Cell Phone Usage Use plurality with elimination to...Ch. 4.2 - Campus Club A campus club has money left over in...Ch. 4.2 - Recreation A company is planning its annual summer...Ch. 4.2 - X-Men Movies Fans of the X-Men movies have been...Ch. 4.2 - Family Reunion The Nelson family is trying to...Ch. 4.2 - School Mascot A new college needs to pick a moscot...Ch. 4.2 - Election Five candidates are running for president...Ch. 4.2 - Baseball Uniforms Use the pairwise comparison...Ch. 4.2 - Radio Stations Use the pairwise comparison method...Ch. 4.2 - Does the winner in Exercise tic satisfy the...Ch. 4.2 - 32. Does the winner in Exercise 12 satisfy the...Ch. 4.2 - Does the winner in Exercise 2k satisfy the...Ch. 4.2 - Does the winner in Exercise 24c satisfy the...Ch. 4.2 - Does the winner in Exercise 17 satisfy the...Ch. 4.2 - Does the winner in Exercise 20 satisfy the...Ch. 4.2 - Election Three candidates are running for mayor. A...Ch. 4.2 - Film Competition Three films have been selected as...Ch. 4.2 - 39. Election A campus club needs to elect four...Ch. 4.2 - Scholarship Awards The members of a scholarship...Ch. 4.2 - Another method of voting is to assign a weight. or...Ch. 4.2 - Approval voting is a system in which voters may...Ch. 4.2 - Restaurants Suppose you and three friends. David,...Ch. 4.3 - Using the data in Example 1 on page 211, list all...Ch. 4.3 - For the data in Example I on page 211, calculate...Ch. 4.3 - Using the data in Check Your Progress 3 on page...Ch. 4.3 - For the data in Check Your Progress 3 on page 215,...Ch. 4.3 - Create a voting system with three members that is...Ch. 4.3 - Create a voting system with four members in which...Ch. 4.3 - Create a voting system with five members that...Ch. 4.3 - In the following exercises that involve weighted...Ch. 4.3 - In the following exercises that involve weighted...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Calculate, if possible, the l3anzhaf power index...Ch. 4.3 - Which, if any, of the voting systems in Exercises...Ch. 4.3 - Explain why it is impossible to calculate the...Ch. 4.3 - Music Education A music department Consists of a...Ch. 4.3 - Four voters. A, B. C, and D. make decisions by...Ch. 4.3 - Criminal Justice In a criminal trial, each of the...Ch. 4.3 - Criminal Justice In California civil court cases,...Ch. 4.3 - Identify any dictator and all dummies for each...Ch. 4.3 - Identify any dictator and all dummies for each...Ch. 4.3 - Identify any dictator and all dummies for each...Ch. 4.3 - Identify any dictator and all dummies for each...Ch. 4.3 - Football At the beginning of each football season,...Ch. 4.3 - Football The head coach in Exercise 23 has decided...Ch. 4.3 - Consider the weighted voting system { 60:4,56,58...Ch. 4.3 - 26. Consider the weighted voting system {...Ch. 4.3 - Consider the weighted voting system { q:8,3,3,2 },...Ch. 4.3 - 28. a. In a weighted voting system, suppose that...Ch. 4.3 - Voter Intimidation and Tampering Consider the...Ch. 4.3 - UN Security Council The United Nations C Security...Ch. 4 - Education The following table shows the...Ch. 4 - Airline Industry The following table shows the...Ch. 4 - Airline Industry The table below shows how the...Ch. 4 - 4. Education The following table shows the number...Ch. 4 - Technology A company has four offices. The...Ch. 4 - Automobile Sales Consider the apportionment of 27...Ch. 4 - Music Company MusicGalore.biz has offices in Los...Ch. 4 - Building Inspectors A city apportions 34 building...Ch. 4 - Is the Hamilton apportionment method susceptible...Ch. 4 - Is the Jefferson apportionment method susceptible...Ch. 4 - Corporate Security The Huntington-Hill...Ch. 4 - Essay Contest Four finalists are competing in an...Ch. 4 - Ski Club A campus ski club is trying o decide...Ch. 4 - Campus Election Four students are running for the...Ch. 4 - Consumer Preferences A group of consumers were...Ch. 4 - Use the pairwise comparison method of voting to...Ch. 4 - Use the pairwise comparison method of voting to...Ch. 4 - Homecoming Queen Three high school students are...Ch. 4 - Homecoming Queen In Exercise I. suppose Cynthia L....Ch. 4 - Scholarship Awards A scholarship committee must...Ch. 4 - A weighted voting system for voters A, B, C, and D...Ch. 4 - A weighted voting system for voters A. B. C. D....Ch. 4 - Calculate the Banzhaf power indices for voters A....Ch. 4 - Calculate the Banzhaf power indices for voters A,...Ch. 4 - 25. Calculate the Banzhaf power indices for voters...Ch. 4 - Calculate the Banzhaf power indices for voters A,...Ch. 4 - Identify any dictator and all dummies for each...Ch. 4 - Identify any dictator and all dummies for each...Ch. 4 - Four voters. A. B. C. and D. make decisions by...Ch. 4 - Postal Service The table below shows the number of...Ch. 4 - Computer Allocation The following table shows the...Ch. 4 - High School Counselors The following table shows...Ch. 4 - A weighted voting system for voters A, B, C, D....Ch. 4 - Consumer Preference One hundred consumers ranked...Ch. 4 - Executives Preferences A company with offices...Ch. 4 - Exam Review A professor is preparing an extra...Ch. 4 - Budget Proposal A committee must vote on which of...Ch. 4 - Drama Department The four staff members. A, B,C,...Ch. 4 - Three voters. A. B. and C, make decisions by using...

Find more solutions based on key concepts

Let a=log2,b=log3, and c=log7. In Exercises 2946, use the logarithm identities to express the given quantity in...

Finite Mathematics

In Problems 76-82, perform the indicated operations and simplify. x42x33x2x2x34x9x24

Mathematical Applications for the Management, Life, and Social Sciences

What is wrong with the equation? 21x4dx=x33]21=38

Calculus: Early Transcendentals

SOC A researcher is studying changes in the student body at her university and has selected a random sample of ...

Essentials Of Statistics

Verify that the function u=1/x2+y2+z2 is a solution of the three-dimensional Laplace equation uxx + uyy + uzz =...

Multivariable Calculus

Population Growth and Decline The graph shows the population P in a small industrial city from 1950 to 2000. Th...

Precalculus: Mathematics for Calculus (Standalone Book)

Use Property 8 to estimate the value of the integral. /4/3tanxdx

Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 7-28, perform the indicated operations and simplify each expression. 20. 6(2x+1)2x2+x+(2x+1)42x2+x

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Finding Limits Numerically In Exercises 5-12, complete the table and use the result to estimate the limit. Use ...

Calculus: An Applied Approach (MindTap Course List)

A researcher studies the factors that determine the number of jobs adults have in a lifetime. The variable, num...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Expand Your Knowledge: Dotplot another display technique that is somewhat similar to histogram is dotplot. In a...

Understanding Basic Statistics

Calculate each expression in Exercises 124, giving the answer as a whole number or a fraction in lowest terms. ...

Finite Mathematics and Applied Calculus (MindTap Course List)

Matching In Exercises 57-60, match the function with its graph. [The graphs are labeled (a), (b), (c), and (d)....

Calculus: Early Transcendental Functions

Consider a random sample X1, X2,, Xn from the shifted exponential pdf f(x;,)={e(x)x0otherwise Taking = 0 gives...

Probability and Statistics for Engineering and the Sciences

For Problems 1-50, solve each equation. Objective 1 2x1=6x+15

Intermediate Algebra

Show that F is a conservative and use this fact to evaluate cFdr.along the given curve. F(x,y)=(4x3y22xy3)i+(2x...

Calculus (MindTap Course List)

Two scores, X and Y, are recorded for each of n = 4 subjects. For these scores, find the value of each expressi...

Statistics for The Behavioral Sciences (MindTap Course List)

Use the definition of continuity and the properties of limits to show that the function is continuous at the gi...

Single Variable Calculus

5 ha =m2

Elementary Technical Mathematics

Use the result of Example 3 to evaluate 13ex+2dx.

Single Variable Calculus: Early Transcendentals

State whether each of the following graphs represents a function.

Trigonometry (MindTap Course List)

True or False
Label each of the following statements as either true or false.
2. Every quadratic equation over ...

Elements Of Modern Algebra

Calculate the interest, purchase price, and effective interest rate of the following Treasury bill (T-bill) pur...

Contemporary Mathematics for Business & Consumers

In Exercises 27 to 30, fill in the missing reasons for each geometric proof. Given: ABC and BD Prove: mABD=mABC...

Elementary Geometry For College Students, 7e

Find the number of distinguishable permutations that can be formed from the letters of each word. a. CINCINNATI...

Finite Mathematics for the Managerial, Life, and Social Sciences

True or False? In Exercises 109-114, determine whether the statement is true or false. If it is false, explain ...

Calculus: Early Transcendental Functions (MindTap Course List)

Estimating Slope In Exercises 36, estimate the slope of the line from its graph. To print an enlarged copy of t...

Calculus of a Single Variable

In Exercises 19 to 24, classify each statement as true or false. Triangles are square or circles are round.

Elementary Geometry for College Students

the cosecant, secant, or cotangent functions of the following angels. Round the answers to 5 decimal places. se...

Mathematics For Machine Technology

You should be able to complete these vocabulary ad concept statements before you proceed to the practice exerci...

College Algebra (MindTap Course List)

The gradient vector field for is:

Study Guide for Stewart's Multivariable Calculus, 8th

The authors of the paper External Factors and the Incidence of Severe Trauma: Time, Date, Season and Moon (Inju...

Introduction To Statistics And Data Analysis

Evaluating a Surface Integral In Exercises 19-24, evaluate sf(x,y,z)dS f(x,y,z)=x2+y2+z2S:z=x2+y2,(x1)2+y21

Multivariable Calculus

At 95% confidence, how large a sample should be taken to obtain a margin of error of .03 for the estimation of ...

Statistics for Business & Economics, Revised (MindTap Course List)

Identify the basic sections of an APA-style research article, know what to expect in each section, and summariz...

Research Methods for the Behavioral Sciences (MindTap Course List)

A researcher reports survey results by stating that the standard error of the mean is 20. The population standa...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

How fast is the angle between the hands of an analog clock increasing at 3:30 pm?
2Ï€ radians/hr

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Explain why a researcher might have some ethical reservations about beginning the second baseline phase in an A...

Research Methods for the Behavioral Sciences (MindTap Course List)

Creating a FunctionConstruct a function whose level curves are lines passing through the origin.

Calculus (MindTap Course List)

For each pair of graphs G and Gâ€™ in 1-5, determine whether G and Gâ€™ are isomorphic. If they are, give functions...

Discrete Mathematics With Applications

In Exercises 27-30, use the following information. Department of Motor Vehicles records indicate that 12 of the...

Mathematics: A Practical Odyssey

38. Suppose the data have a bell-shaped distribution with a mean of 30 and a standard deviation of 5. Use the e...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Construction Worker Idle Time. Shorney Construction Company bids on projects assuming that the mean idle time p...

Essentials Of Statistics For Business & Economics

Solving an Equation of ChangeSolve the equation of change from Exercise S-11 if there are initially 4liters of ...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Show that the average value of sin2t over [0, 2 ] is equal to 1/2 Without further calculation, determine whethe...

Calculus Volume 2

In the following exercises, assume that limx6f(x)=4,limx6g(x)=9,andlimx6h(x)=6 . Use these three facts and the ...

Calculus Volume 1

In Problems 37 and 38 solve the given initial-value problem by finding, as in Example 4, an appropriate integra...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)