BuyFind*arrow_forward*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.2, Problem 16ES

Textbook Problem

1 views

Catering Use the Borda count method of voting to determine which caterer the committee should hire in Exercise 12.

To determine

Using plurality voting, wflich caterer should be chosen?

**Given Information:**

Rankings | ||||||

Italian | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | |

Mexican | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | |

Japanese | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | |

Number of votes: | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

Each 1^{s}^{t} place vote receive ^{n}^{d} place vote receive ^{r}^{d} place vote receive

**Concept used:**

Calculate first, second and third place preference

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 Use long division to find.

Mathematical Applications for the Management, Life, and Social Sciences

In Exercises 15-22, find the equation of the specified line. Through (1,2) parallel to x2y=2

Finite Mathematics

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or gi...

Multivariable Calculus

Using the Point-Slope Form In Exercises 5760, find an equation of the line that passes through the given point ...

Calculus: An Applied Approach (MindTap Course List)

Since raindrops grow as they fall, their surface area increases and therefore the resistance to their falling i...

Calculus: Early Transcendentals

Monotonic and Bounded Sequences In Exercises 23 and 24, determine whether the sequence with the given nth term ...

Calculus: Early Transcendental Functions

Human visual inspection of solder joints on printed circuit boards can be very subjective. Part of the problem ...

Probability and Statistics for Engineering and the Sciences

You have developed a series of questions to measure job satisfaction of bus drivers in New York City. A random ...

Essentials Of Statistics

The system of equations {2x+3y=75xy=9 is a system of two equations in the two variables __________ and ________...

Precalculus: Mathematics for Calculus (Standalone Book)

Population Growth in Clark County Clark County in Nevadadominated by greater Las Vegasis one of the fastest-gro...

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

Describe what is measured by the estimated standard error in the bottom of the independent-measures t statistic...

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

Sketch the graphs of the equations in Exercises 512. x2y=1

Finite Mathematics and Applied Calculus (MindTap Course List)

Differentiate. J(v) = (v3 2v)(v4 + v2)

Single Variable Calculus: Early Transcendentals, Volume I

Counting: Sports The University of Montana ski team has five entrants in a mens downhill ski event. The coach w...

Understanding Basic Statistics

Evaluate the limit, if it exists. 32. limh01(x+h)21x2h

Single Variable Calculus

For Problems 1-10, answer true or false. The absolute value of zero does not exist.

Intermediate Algebra

A normal distribution has a mean of =60 and a standard deviation of =18 . For each of the following samples, co...

Statistics for The Behavioral Sciences (MindTap Course List)

Convert the expressions in Exercises 8596 radical form. 22/3

Applied Calculus

If the minute hand of a clock has length r in centimeters, find the rate at which it sweeps out area as a funct...

Calculus (MindTap Course List)

Find the perimeter and the area of each quadrilateral:

Elementary Technical Mathematics

In each of the following problems, is a central angle that cuts off an arc of length s. In each case, find the...

Trigonometry (MindTap Course List)

Use the analytic method to decide what type of quadrilateral is formed when the midpoints of the consecutive si...

Elementary Geometry For College Students, 7e

Use the exact interest method (365 days) and the ordinary interest method (360 days) to compare the amount of i...

Contemporary Mathematics for Business & Consumers

The linear density of a rod of length 4 m is given by (x)=9+2x measured in kilograms per meter, where x is meas...

Single Variable Calculus: Early Transcendentals

Exercises
19. Find cyclic subgroups of that have three different orders.

Elements Of Modern Algebra

A loan of 120,000 is to be repaid over a 10-year period through equal installments made at the end of each year...

Finite Mathematics for the Managerial, Life, and Social Sciences

Finding the Slope and y-Intercept In Exercises 2934, find the slope and the y-intercept (if possible) of the li...

Calculus of a Single Variable

Find the center, foci, vertices and eccentricity of the hyperbola and sketch its graph using asymptotes as an a...

Calculus: Early Transcendental Functions (MindTap Course List)

In Exercises 23 and 24, find the exact areas of the shaded regions.

Elementary Geometry for College Students

Do Double Stuff Oreos really contain twice as much staff? In 1999, Marie Revak and Jihan Williams interest was ...

Mathematics: A Practical Odyssey

Raise the following terms to the indicated powers and combine like terms where possible. (a2b3+ab3)2

Mathematics For Machine Technology

The accompanying data are from the article Breeding Success of the Common Puffin on Different Habitats at Great...

Introduction To Statistics And Data Analysis

The following observations are for two quantitative variables, x and y. a. develop a crosstabulation for the da...

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

True or False: f(x) = 3x x3 is concave down for x 1.

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

Practice Write the first six terms of an arithmetic sequences with the given properties a=1 and d=2.

College Algebra (MindTap Course List)

Young Adult magazine states the following hypotheses about the mean age of its subscribers. H0: = 28 Ha: 28 ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Describe the relationship between the alpha level and the likelihood of making a Type I error.

Research Methods for the Behavioral Sciences (MindTap Course List)

Hypothetical concepts, such as honesty, are variables that cannot be observed or measured directly and, therefo...

Research Methods for the Behavioral Sciences (MindTap Course List)

Using First Partial Derivatives In Exercises 69-76, find all values of x and y such that fx(x,y)=0 and fy(x,y)=...

Multivariable Calculus

A critical point of f(x, y) = 60 âˆ’ 6x + x2 + 8y âˆ’ y2 is:
(3, 4)
(23, 24)
(âˆ’3, 4)
(3, âˆ’4)

Study Guide for Stewart's Multivariable Calculus, 8th

Finding Points of Intersection In Exercises 57-62, find the points of intersection of the graphs of the equatio...

Calculus (MindTap Course List)