BuyFind*arrow_forward*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.3, Problem 1EE

Textbook Problem

26 views

Using the data in Example 1 on page 211, list all blocking coalitions.

To determine

Using the data in Example

**Given Information:**

Suppose that the four owners of a company, Ang, Bonhomme, Carmel, and Diaz, own, respectively,

**Concept used:**

A winning coalition must represent at least

**Calculation:**

A winning coalition must represent at least

Winning coalition | Number of votes |

â€ƒâ€ƒ | â€ƒâ€ƒ |

â€ƒâ€ƒ | â€ƒâ€ƒ |

â€ƒâ€ƒ | â€ƒâ€ƒ |

â€ƒâ€ƒ | â€ƒâ€ƒ |

â€ƒâ€ƒ | â€ƒâ€ƒ |

â€ƒâ€ƒ | â€ƒâ€ƒ |

â€ƒâ€ƒ | â€ƒâ€ƒ |

â€ƒâ€ƒ | â€ƒâ€ƒ |

The table is drawn to find out all blocking coalition

Blocking coalition | Number of votes | Number of remaining votes |

â€ƒâ€ƒ |

Mathematical Excursions (MindTap Course List)

Show all chapter solutions

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

Show solutions In problems 49-54, rationalize the denominator and then simpify.
51.

Mathematical Applications for the Management, Life, and Social Sciences

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

Finite Mathematics

Writing the Terms of a Sequence In Exercises 1-4, write the first five terms of the sequence with the given nth...

Calculus: Early Transcendental Functions

Calculate ss, variance and standard deviation for the following population of N = 5 scores: 2, 13, 4. 10 6. (No...

Statistics for The Behavioral Sciences (MindTap Course List)

If u is a unit vector, find u v and u w.

Calculus: Early Transcendentals

For Problems 1-50, solve each equation. Objective 1 6a4=7a+11

Intermediate Algebra

Finding the Slope of a Graph In Exercises 916, use the limit definition to find the slope of the graph of f at ...

Calculus: An Applied Approach (MindTap Course List)

The figure shows two circles C and D of radius 1 that touch at P. The line T is a common tangent line; C1 is th...

Multivariable Calculus

A spherical balloon is being inflated and the radius of the balloon is increasing at a rate of 2 cm/s. (a) Expr...

Single Variable Calculus

SOC A sample of 105 sanitation workers for the city of Euonymus, Texas, earns an average of 24,375 per year. Th...

Essentials Of Statistics

Evaluate expressions in Exercises 3756, rounding your answer to four significant digits where necessary. (2)2

Finite Mathematics and Applied Calculus (MindTap Course List)

Simplify each expression in Exercises 1730, expressing your answer in positive exponent form. x3x4

Applied Calculus

An electronics store is offering a special price on a complete set of components (receiver, compact disc player...

Probability and Statistics for Engineering and the Sciences

Terminology If it makes sense to say that one data measurement in a data set is twice that of another measureme...

Understanding Basic Statistics

Eliminating a Variable Perform an operation on the given system that eliminates the indicated variable. Write t...

Precalculus: Mathematics for Calculus (Standalone Book)

Instead of showing the actual number of individuals in each category, a population frequency distribution graph...

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

In Exercises 29-34, find an equation of the circle that satisfies the given conditions. 29. Radius 5 and center...

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

Explain what each of the following means and illustrate with sketch. (a) limxaf(x)=L (b) limxa+f(x)=L (c) limxa...

Single Variable Calculus: Early Transcendentals, Volume I

Evaluate the integral. dxx24x21

Calculus (MindTap Course List)

Multiply: 8374203_

Elementary Technical Mathematics

Find the area of the region bounded by the given curves. x + y = 0, x = y2 + 3y

Single Variable Calculus: Early Transcendentals

Find sec if tan=2021 and cos0.

Trigonometry (MindTap Course List)

Solve the following word problems. Round dollars to the nearest cent and percents to the nearest tenth of a per...

Contemporary Mathematics for Business & Consumers

Show all arcs in the following construction. a Construct an angle that measures 60. b Using the result from par...

Elementary Geometry For College Students, 7e

Show that each of the following polynomials is irreducible over the field of rational numbers by making the app...

Elements Of Modern Algebra

In Exercise 17-31, solve each linear programming problem by the simplex method. P=4x+6y Maximize 3x+y242x+y18x+...

Finite Mathematics for the Managerial, Life, and Social Sciences

Finding the Area of a Region In Exercises 37-42, sketch the region hounded by the graphs of the equations and f...

Calculus of a Single Variable

Projectile Motion A plane flying at an altitude of 36,000 feet at a speed of 600 miles per hour releases a bomb...

Calculus: Early Transcendental Functions (MindTap Course List)

In Exercises 17 to 20, find the value of the variable named in each formula. Leave in the answers for Exercise...

Elementary Geometry for College Students

Solve the following exercises. For customary unit-dimensioned exercises, calculate angles to the nearer minute ...

Mathematics For Machine Technology

A business executive, transferred from Chicago to Atlanta, needs to sell her house inChicago quickly. The execu...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

A binomial probability distribution has p = .20 and n = 100. a. What are the mean and standard deviation? b. Is...

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

True or False:
If R is a rectangular region in the plane, then

Study Guide for Stewart's Multivariable Calculus, 8th

Briefly explain how a participant characteristic, such as personality, could be a confounding variable in a bet...

Research Methods for the Behavioral Sciences (MindTap Course List)

Describe the two general problems (observer influence and subjectivity) that can exist with behavioral observat...

Research Methods for the Behavioral Sciences (MindTap Course List)

What is the number of the integral formula in your texts Table of Integrals that may be used to evaluate x2+2x+...

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

The article Popping Cork Sound Makes Wine Taste Better (decanter.com/wine-news/popping-cork-sound-makes-wine-ta...

Introduction To Statistics And Data Analysis

Projectile Motion Repeat Exercise 3 for the case in which the bomber is facing away from the launch site, as sh...

Multivariable Calculus

Find the x- and y-intercepts and use them to graph each equation. 4x5y=20

College Algebra (MindTap Course List)

Finding a Derivative In Exercises 25-34, find the derivative of the function. f(x)=sinh9x

Calculus (MindTap Course List)

In Exercise 50-52, find a probability and b the odds of winning the following bets in roulette. In finding the ...

Mathematics: A Practical Odyssey

In Problems 31-34 proceed as in Example 6 to find a solution of the initial-value problem with the given piecew...

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

The empty set is a set with ______

Discrete Mathematics With Applications

Change in London Travel Time This exercise is a continuation of example 5.18. The rate of change t in time to t...

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

Solving an Equation In Exercises 25-32, solve the equation and check your solution. (If not possible, explain w...

College Algebra

28. Many medical professionals believe that eating too much red meat increases the risk of heart disease and ca...

Essentials Of Statistics For Business & Economics

Confidence Intervals for Different Processes. Refer to exercise 15. Use Fisherâ€™s LSD procedure to develop a 95%...

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