A Survey of Mathematics with Applications (10th Edition) - Standalone book
A Survey of Mathematics with Applications (10th Edition) - Standalone book
10th Edition
ISBN: 9780134112107
Author: Allen R. Angel, Christine D. Abbott, Dennis Runde
Publisher: PEARSON
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Chapter 14.2, Problem 31E

Selecting a Spokesperson The campbell Soup Comapny is selecting a new spokesperson for its advertisements. The choices are Jennifer Lawrence (L), Bradley Cooper (C), and LeBron James (J). At the annual meeting of its managers, a straw vote is taken to gauge the managers’ initial reaction to the candidates. The results of this straw vote are given in the preference table at the top of page 884.

Number of Votes 28 24 20 10
First J C L L
Second L J C J
Third C L J C

Chapter 14.2, Problem 31E, Selecting a Spokesperson The campbell Soup Comapny is selecting a new spokesperson for its

After discussion about the candidates, eight people who had supported Jennifer Lawrence over LeBron James now switch their preferences to LeBron James over Jennifer Lawrence. This switch leads to the following prefernce table.

Number of Votes 36 24 20 2
First J C L L
Second L J C J
Third C L J C
  1. a. Using the plurality with elimination method, which person is selected from the first (or straw) vote?
  2. b. using the plurality with elimination method, which person is selected from the second vote?
  3. c. Does this second result violate the monotonicity criterion?
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Chapter 14 Solutions

A Survey of Mathematics with Applications (10th Edition) - Standalone book

Ch. 14.1 - Preference Table for Potato Chips Nine voters are...Ch. 14.1 - Prob. 12ECh. 14.1 - Logo choice in Exercises 1318, employees of...Ch. 14.1 - Prob. 14ECh. 14.1 - Logo choice in Exercises 1318, employees of...Ch. 14.1 - Logo choice in Exercises 1318, employees of...Ch. 14.1 - Logo choice in Exercises 1318, employees of...Ch. 14.1 - Logo choice in Exercises 1318, employees of...Ch. 14.1 - Prob. 19ECh. 14.1 - Prob. 20ECh. 14.1 - Prob. 21ECh. 14.1 - Prob. 22ECh. 14.1 - NFL Expansion In Exercises 2326, the National...Ch. 14.1 - NFL Expansion In Exercises 2326, the National...Ch. 14.1 - NFL Expansion In Exercises 2326, the National...Ch. 14.1 - NFL Expansion In Exercises 2326, the National...Ch. 14.1 - Board of Trustees Election. In Excercises 27-31,...Ch. 14.1 - Board of Trustees Election. In Excercises 27-31,...Ch. 14.1 - Board of Trustees Election. In Excercises 27-31,...Ch. 14.1 - Board of Trustees Election. In Excercises 27-31,...Ch. 14.1 - Prob. 31ECh. 14.1 - Post Office Sites In Exercises 32-36, the 11...Ch. 14.1 - Post Office Sites In Exercises 32-36, the 11...Ch. 14.1 - Prob. 34ECh. 14.1 - Prob. 35ECh. 14.1 - Prob. 36ECh. 14.1 - Choosing a Contractor The board of directors of...Ch. 14.1 - Prob. 38ECh. 14.1 - Flowers in a Garden The flowers in a garden at a...Ch. 14.1 - Choosing a Computer The Wizards Computer Club is...Ch. 14.1 - Prob. 41ECh. 14.1 - Describe one way other than flipping a coin to...Ch. 14.1 - Prob. 43ECh. 14.1 - Prob. 44ECh. 14.1 - Prob. 45ECh. 14.1 - Prob. 46ECh. 14.1 - Prob. 47ECh. 14.1 - Prob. 48ECh. 14.1 - Constuct a preference table showing 12 votes for 3...Ch. 14.2 - In Exercises 1 8, fill in the blank with an...Ch. 14.2 - In Exercises 1 8, fill in the blank with an...Ch. 14.2 - In Exercises 1 8, fill in the blank with an...Ch. 14.2 - In Exercises 1 8, fill in the blank with an...Ch. 14.2 - In Exercises 1 8, fill in the blank with an...Ch. 14.2 - Prob. 6ECh. 14.2 - Prob. 7ECh. 14.2 - Prob. 8ECh. 14.2 - Annual Meeting Members of the board of directors...Ch. 14.2 - Prob. 10ECh. 14.2 - Restructuring a Company The board of directors at...Ch. 14.2 - Party Theme The children in Ms Cohns seventh-grade...Ch. 14.2 - Residence Hall Improvements The administration at...Ch. 14.2 - Prob. 14ECh. 14.2 - Preference for Grape Jelly Twenty-one people are...Ch. 14.2 - A Taste Test Twenty-five people are surveyed in...Ch. 14.2 - Plurality: Irrelevant Alternatives Criterion...Ch. 14.2 - Prob. 18ECh. 14.2 - Borda Count: Irrelevant Alternatives Criterion...Ch. 14.2 - Borda Count: Irrelevant Alternatives Criterion...Ch. 14.2 - Plurality with Elimination Monotonicity Criterion...Ch. 14.2 - Plurality with Elimination: Monotonicity Criterion...Ch. 14.2 - Pair Comparision Method: Monotonicity Criterion...Ch. 14.2 - Prob. 24ECh. 14.2 - Pairwise Comparison: Irrelevant Alternatives...Ch. 14.2 - Prob. 26ECh. 14.2 - Borda Count:Majority Criterion Suppose that the...Ch. 14.2 - Borda Count: Majority Criterion Suppose that the...Ch. 14.2 - Spring Trip The History Club of St. Louis is...Ch. 14.2 - Prob. 30ECh. 14.2 - Selecting a Spokesperson The campbell Soup Comapny...Ch. 14.2 - Prob. 32ECh. 14.2 - Prob. 33ECh. 14.2 - Prob. 34ECh. 14.2 - Construct a prefernce table with three candidates...Ch. 14.2 - Construct a preference table with three candidates...Ch. 14.2 - Construct a preference table with four candidates...Ch. 14.2 - Prob. 38ECh. 14.3 - The total population under consideration divided...Ch. 14.3 - When each group's population is divided by the...Ch. 14.3 - A standard quota rounded up to the nearest integer...Ch. 14.3 - A standard quota rounded down to the nearest...Ch. 14.3 - The rule stating that an apportionment should...Ch. 14.3 - Jefferson's method, Websters method, and Adams'...Ch. 14.3 - In Exercises 1-10, fill in the blank with an...Ch. 14.3 - a. The apportionment method that uses a modified...Ch. 14.3 - a. The apportionment method that uses a modified...Ch. 14.3 - Jeffersons method, Webster's method, and Adams'...Ch. 14.3 - In Exercises 11-49, when appropriate round quotas...Ch. 14.3 - Determine each state's apportionment using...Ch. 14.3 - a. Determine each states modified quota using the...Ch. 14.3 - Prob. 14ECh. 14.3 - Legislative Seats In Exercises 11-18, suppose that...Ch. 14.3 - Legislative Seats In Exercises 11-18, suppose that...Ch. 14.3 - Prob. 17ECh. 14.3 - Prob. 18ECh. 14.3 - Hotel staff In Exercises 19-26, a large hotel...Ch. 14.3 - Prob. 20ECh. 14.3 - Hotel staff In Exercises 19-26, a large hotel...Ch. 14.3 - Prob. 22ECh. 14.3 - Hotel staff In Exercises 19-26, a large hotel...Ch. 14.3 - Prob. 24ECh. 14.3 - Hotel staff In Exercises 19-26, a large hotel...Ch. 14.3 - Prob. 26ECh. 14.3 - Prob. 27ECh. 14.3 - Umbrellas In Exercises 27-30, Sandy Shores Resorts...Ch. 14.3 - Prob. 29ECh. 14.3 - Prob. 30ECh. 14.3 - Now Computers In Exercise 31-34, a university is...Ch. 14.3 - Now Computers In Exercise 31-34, a university is...Ch. 14.3 - Now Computers In Exercise 31-34, a university is...Ch. 14.3 - Now Computers In Exercise 31-34, a university is...Ch. 14.3 - Now Boats In Exercises 35-38, a boat manufacturer...Ch. 14.3 - Now Boats In Exercises 35-38, a boat manufacturer...Ch. 14.3 - Prob. 37ECh. 14.3 - Prob. 38ECh. 14.3 - New Buses In Exercises 39-42, the Transit...Ch. 14.3 - Prob. 40ECh. 14.3 - Prob. 41ECh. 14.3 - Prob. 42ECh. 14.3 - Nursing Shifts In Exercises 43-46, a hospital has...Ch. 14.3 - Prob. 44ECh. 14.3 - Nursing Shifts In Exercises 43-46, a hospital has...Ch. 14.3 - Prob. 46ECh. 14.3 - The First Census In 1970, the first United States...Ch. 14.3 - Legislative Seats Suppose that a country with a...Ch. 14.3 - Prob. 49ECh. 14.4 - In Exercises 1- 6, fill in the blank with an...Ch. 14.4 - When the addition of a new group and additional...Ch. 14.4 - When an increase in the total number of items to...Ch. 14.4 - Hamiltons and Jeffersons apportionment methods,...Ch. 14.4 - Adams and Websters apportionment methods favor...Ch. 14.4 - The apportionment method that satisfies the quota...Ch. 14.4 - In Exercises 7-18, when appropriate, round quotas...Ch. 14.4 - Prob. 8ECh. 14.4 - Legislative Seats A country with three states has...Ch. 14.4 - Prob. 10ECh. 14.4 - Apportioning Promotions ATT has 25,000 employees...Ch. 14.4 - Apportioning Trucks Anabru Manufacturing has 100...Ch. 14.4 - College Internships A college with five divisions...Ch. 14.4 - Prob. 14ECh. 14.4 - Additional Employees Cynergy Telecommunications...Ch. 14.4 - Adding a Park The town of Manlius purchased 25 new...Ch. 14.4 - Adding a State A country with two states has 33...Ch. 14.4 - Adding a State A country with two states has 66...Ch. 14 - Electing the Club President The Sailing Club of...Ch. 14 - Prob. 2RECh. 14 - Prob. 3RECh. 14 - Prob. 4RECh. 14 - Prob. 5RECh. 14 - Prob. 6RECh. 14 - Prob. 7RECh. 14 - Prob. 8RECh. 14 - In Exercises 5-10, the members of the Student...Ch. 14 - Prob. 10RECh. 14 - Prob. 11RECh. 14 - Sports Preferences In Exercises 11-16, the...Ch. 14 - Sports Preferences In Exercises 11-16, the...Ch. 14 - Sports Preferences In Exercises 11-16, the...Ch. 14 - Sports Preferences In Exercises 11-16, the...Ch. 14 - Sports Preferences In Exercises 11-16, the...Ch. 14 - Choosing a License Plate Style Park Forest...Ch. 14 - Accountants Convention The National Association of...Ch. 14 - Prob. 19RECh. 14 - Hiring a New Paralegal In Exercises 20 and 21, a...Ch. 14 - Prob. 21RECh. 14 - Plurality with Elimination Consider the following...Ch. 14 - A Taste Test In a taste test, 114 people are asked...Ch. 14 - Selecting a Band The Southwestern High School...Ch. 14 - Prob. 25RECh. 14 - Prob. 26RECh. 14 - Violating the Irrelevant Alternatives Criterion...Ch. 14 - Prob. 28RECh. 14 - Prob. 29RECh. 14 - Prob. 30RECh. 14 - Prob. 31RECh. 14 - Prob. 32RECh. 14 - Prob. 33RECh. 14 - Prob. 34RECh. 14 - Prob. 35RECh. 14 - Prob. 36RECh. 14 - Prob. 37RECh. 14 - Prob. 38RECh. 14 - Prob. 39RECh. 14 - Prob. 40RECh. 14 - Prob. 41RECh. 14 - Prob. 42RECh. 14 - Prob. 1TCh. 14 - Prob. 2TCh. 14 - Prob. 3TCh. 14 - Prob. 4TCh. 14 - Prob. 5TCh. 14 - Prob. 6TCh. 14 - Prob. 7TCh. 14 - Prob. 8TCh. 14 - Prob. 9TCh. 14 - Prob. 10TCh. 14 - Prob. 11TCh. 14 - Prob. 12TCh. 14 - Prob. 13TCh. 14 - Prob. 14TCh. 14 - Prob. 15TCh. 14 - Prob. 16TCh. 14 - Prob. 17TCh. 14 - Prob. 18TCh. 14 - Prob. 19TCh. 14 - Suppose that a fourth state with the population...
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