Test Bank for Excursions in Modern Mathematics, 10th edition by Peter Tannenbaum, Chapter 1-17 | All Chapters

TEST BANK
Excursions in Modern Mathematics, 10th Edition
By Peter Tannenbaum
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, Table of Content
PART I: SOCIAL CHOICE

1. The Mathematics of Elections: The Paradoxes of Democracy

2. The Mathematics of Power: Weighted Voting

3. The Mathematics of Sharing: Fair-Division Games

4. The Mathematics of Apportionment: Making the Rounds
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PART II: MANAGEMENT SCIENCE

5. The Mathematics of Getting Around: Euler Paths and Circuits

6. The Mathematics of Touring: Traveling Salesman Problems
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7. The Mathematics of Networks: The Cost of Being Connected

8. The Mathematics of Scheduling: Chasing the Critical Path
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PART III: GROWTH

9. Population Growth Models: There Is Strength in Numbers
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10. Financial Mathematics: Money Matters

PART IV: SHAPE AND FORM

11. The Mathematics of Symmetry: Beyond Reflection
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12. Fractal Geometry: The Kinky Nature of Nature

13. Fibonacci Numbers and the Golden Ratio: Tales of Rabbits and Gnomons
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PART V: STATISTICS

14.Censuses, Surveys, Polls, and Studies: The Joys of Collecting Data

15. Graphs, Charts, and Numbers: The Data Show and Tell
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16. Probabilities, Odds, and Expectations: Measuring Uncertainty and Risk

17. The Mathematics of Normality: The Call of the Bell

,Chapter 1

Name


MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Solve the problem.
1) The student body at Hickory Middle School is voting for which new food item should be added to 1)
the school's cafeteria menu. The choices are Turkey Club (TC), Popcorn Shrimp (PS), BBQ Ribwich
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(BR), and Tofu Stir fry (TS). The following table gives the preference schedule for the results of the
vote.

Number of voters 57 34 19 12 10
1st choice PS BR TS TC TS
2nd choice TC PS BR BR TC
3rd choice BR TS TC PS BR
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4th choice TS TC PS TS PS

Suppose that the voting rules are that when there is a food item with a majority of votes, it is the
winner. Otherwise, all candidates with 20% or less of the first-place votes are eliminated and the
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votes are recounted. Find the preference schedule for the recount.
A)
67 53 12
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1st choice TC BR TC
2nd choice BR TS BR
3rd choice TS TC TS

B)
57 46 29
1st choice PS BR TS
2nd choice BR PS BR
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3rd choice TS TS PS

C)
57 34 22 19
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1st choice PS BR TC BR
2nd choice TC PS BR TC
3rd choice BR TC PS PS
D)
57 44 31
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1st choice PS BR TC
2nd choice TC PS BR
3rd choice BR TC PS

E)
57 46 29
1st choice PS BR TS
2nd choice BR PS PS
3rd choice TS TS BR

, For an election with candidates (A, B, C, D, and E), we have the following preference schedule:

Number of voters 51 48 5
1st choice A D E
2nd choice B C C
3rd choice C B D
4th choice D A B
5th choice E E A
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2) Which candidate has the most second place votes? 2)
A) A B) B C) C D) D E) E

For an election with four candidates (A, B, C, and D) we have the following preference schedule:

Number of Voters 6 3 5 8
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1st choice D D A C
2nd choice B A C A
3rd choice A B B D
4th choice C C D B
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3) Using the plurality method, which candidate wins the election? 3)
A) A B) B C) C D) D
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Solve the problem.
4) Consider an election with 769 voters and six candidates. What is the smallest number of votes that 4)
a plurality candidate could have?
A) 128
B) 129
C) 385
D) 384
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E) none of these

5) Consider an election with 456 voters and seven candidates. What is the smallest number of votes 5)
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that a plurality candidate could have?
A) 229
B) 66
C) 228
D) 65
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E) none of these