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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Question
Chapter 14.1, Problem 35E
To determine
The winner using the Pair-wise comparison voting method.
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The
11
members of the Town Board must decide where to build a new post office. Their three choices are Lehigh Road (L), Erie Road (E), and Ontario Road (O). The preference table follows to the right. Determine the winner using the pairwise comparison method.
Number of Ballots
Number of votes
4
4
3
First
L
E
O
Second
E
O
E
Third
O
L
L
Choose the correct answer below.
A.
Lehigh
B.
Erie
C.
Ontario
D.
There is no winner. There is a tie between
Erie
and
Lehigh.
E. There is no winner. There is a three way tie.
The Rosetown community association plans to meet once each month. The association members are deciding what day of the week to meet by holding a vote.
The choices are Monday (M), Tuesday (T), and Friday (F). Instead of voting for only one day, each member ranks the three days in order of preference. Each
member's ballot gives the member's first, second, and third choice for a monthly meeting day. Here are the ballots submitted.
Baliot 1
Ballot 2
Ballot 3
Ballot 4
Ballot 5
Ballot 6
Balot 7
Ballot 8
Ballot 9
1st
M.
14
M
F.
M.
1st
2n
2n
2nd
2nd
M
M
T.
2nd
2
2nd
2nd
2nd
M.
3rd
3rd
3rd
F
3rd
3rd
M
3rd
3rd
M.
3rd
Ballot 10
Ballot 11
Ballot 12
Ballot 13
Balot 14
Ballot 15
Ballot 16
1st
F
M
1st
T.
M
14
2nd
T.
2nd
T.
2nd
2ne
20
2n M
2nd
F
M
3rd
M
3rd
3rd
M
3rd
3
3rd
Construct a preference table to summarize the ballots. You can add or remove columns in the table as needed. Note: The individual ballots above will highlight
when clicked. (Highlighting the ballots can help you with your…
Number of Ballots
Number of votes 5 24
The 11 members of the Town Board must decide
where to build a new post office. Their three choices
are Lehigh Road (L), Erie Road (E), and Ontario
Road (O). The preference table follows to the right.
Determine the winner using the pairwise comparison
method.
First
EOL
Second
OLO
Third
LEE
Choose the correct answer below.
A. Lehigh
B. Ontario
C. Erie
D. There is no winner. There is a tie between Ontario and Erie.
E. There is no winner. There is a three-way tie.
Chapter 14 Solutions
A Survey of Mathematics with Applications (10th Edition) - Standalone book
Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 5ECh. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 7ECh. 14.1 - Prob. 8ECh. 14.1 - Plurality Three candidates are running for mayor...Ch. 14.1 - Prob. 10E
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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