Math 103, Spring 2011, Solutions to Chapter 1 homework
25 total points constitute a perfect score
Problem 12: 6 points
The plurality method requires us to examine first place votes, and only first place votes.
A receives
B receives
C receives
D receives
3
Assignment 4
(Covering material from 4.1 4.5 + ME1)
1. The Placerville General Hospital has a nursing staff of 225 nurses working in four shifts A
(7am to 1 pm), B (1pm to 7pm), C (7pm to 1am), and D (1am to 7am). The number of nurses
apportioned to each
Math 103, Spring 2013, Homework for chapter 4: Mathematics of Apportionment
1. (Based on chapter 4 problem #4 in the textbook) The Placerville General Hospital has a
nursing staff of 225 nurses working in four shifts:
A (7am 1pm)
B (1pm 7pm)
C (7pm 1am)
D
The Mathematics of Sharing
There are 5 problems that we will discuss in class on Tuesday, March 8.
Homework to be discussed in class on Tuesday, March 8.
Problem 1. Divider-chooser problem:
Supp 3.1. Martha and Nick share the rights to use a certain store
Math 103, Spring 2011, Solutions to Chapter 3A homework
Problem 12:
The given table is completed by using the fact that each partner values the entire piece of land at
$400,000. This implies that each row (not column!) must add up to $400,000:
Adams
Benso
1.Read Section 3.7 The Method of Markers
Homework to be discussed in class.
2. Can you predict under what circumstances there will be no surplus
in the method of sealed bids? Please e-mail the answer to me or tell
me in class.
We will discuss this in clas
Math 103, Spring 2013, homework SOLUTIONS for chapter 3 (Mathematics of Sharing)
1. Martha and Nick share the rights to use a certain store location, but they have separate
businesses, and only one can use the space at a time. To minimize the costs and ha
Math 103
Exam #2
April 19, 2011
Name_
There are 11 problems and 2 extra credit problem.
Good luck and have fun! Show me all youve learned !
1. 10 points
Alex, Judy, and Lois are dividing the 18 inch long sub which has a 12 inch vegetarian
piece and a 6 in
Homework 1B
(covering material from 1.3-1.5)
The following question, and most of the questions for this chapter, pertains to an election which
is held to select the president of an organization. The candidates are Ann (A), Bob (B), Claire
(C), and Dave (D
Math 103
Exam #2-Solutions
April 19, 2011
There are 11 problems and 2 extra credit problem.
Good luck and have fun! Show me all youve learned !
1. 10 points
Alex, Judy, and Lois are dividing the 18 inch long sub which has a 12 inch vegetarian
piece and a
Math 103 Section 11
Chapter 4 Quiz
Name_
February 25, 2011
10 points
1. A small city operates four bus routes which it calls W, X, Y, and Z, and owns 30 buses. The town decides to
apportion the buses among the four routes based on the average number of pa
Assignment 3A
(Covering material from 3.1 3.4)
[Warmup problems in the book: #15, 17]
1. Martha and Nick share the rights to use a certain store location, but they have separate busi nesses, and only one can use the space at a time. To minimize the costs
Math 103, Section 11
Exam #1
March 4, 2011
Name_
Please show me all youve learned in the course so far! I know youll do very well!
Please show your work. There are 9 problems and 2 extra credit problems.
Formulas: 1+2+3+L= L (L+1)
2
Formulas: 1+2+3+N-1= (
Math 103: Section 11
12, 2011
April
Review for Exam #2 which includes Chapters 3, 10, and 5
You should review the following topics.
Chapter 3
Continuous fair division games: Fair shares
Methods are the divider-chooser method, the lone-divider method and t
Assignment 3B
(Covering material from 3.3, 3.5, 3.7)
1. Ann, Bob, and Chris have equal claims to a store location, and are using the Lone Divider
method to find a fair division of access to the location over the calendar year. We assume as in
problem 1 th
1
Measuring Power
We turn our attention in this chapter from the candidates to the voters, some of whom may cast more
votes than others, and thereby possess more power than others. This inequality might seem
outrageous to our intuitions at first, but ther
Math 103, Spring 2013, Homework on Weighted Voting Systems Solutions
1. [Suggested warm-ups from the textbook for this homework problem are #11, 13, 15, and 17]
Consider the weighted voting system [12: 9, 4, 3, 2].
1a. Write out all winning coalitions for
Math 103, Spring 2015
Solutions for Fair Distribution Assignment 2
HW4. Ann (A), Bob (B), Claire (C), and Dave (D) use the method of markers to divide a
collection of 15 albums, labeled by letters L through Z. The arrangement of the albums, and the
placem
Math 103, Spring 2015, Measuring Power Assignment 1 Solutions
HW1. Consider the weighted voting system [12: 9, 4, 3, 2].
a. Write out all winning coalitions for this weighted voting system, and underline the
critical player(s) in each one.
b. Find the Ban
Math 103 Spring 2015, Voting Theory Assignment 2
Please remember to use complete English sentences when writing your solutions.
See the document How to submit assignments in Sakai in the Resources folder of the Sakai site for your
Math 103 section.
HW2. T
Math 103, Spring 2015
Growth and Finance Assignment 1
HW1. Suppose that the US population is growing by 0.96% each year, and continues to grow at
this rate every year.
a. What is the overall growth factor for 40 years of population growth? By what overall
Math 103, Spring 2015
Growth and Finance Assignment 4
HW10. Suppose that starting when you are 22, you invest $3,000 at the end of each year in an
IRA (individual retirement account) with an APR of 6% compounded annually. Interest is paid
at the end of th
Math 103 Spring 2015, Voting Theory Assignment 3 - Solutions
Please remember to use complete English sentences when writing your solutions.
See the document How to submit assignments in Sakai in the Resources folder of the Sakai site for your
Math 103 sec
Math 103, Spring 2015, Apportionment Assignment 3
The Gesundheit Hospital has a nursing staff of 400 nurses working in four shifts:
Morning (6am 12pm)
Afternoon (12pm 6pm)
Evening (6pm 12am)
Late night (12am 6am)
The number of nurses apportioned to each s
Math 103 Section 11 Take-home Quiz for Chapter 3
Name_
3/11/11
You may use your notes or ask me questions. Assignment is due on Friday, March 25,
2011
5 points
1. Four friends (Joe, Tim, Sam, and Ron) have decided to divide up a multi-flavored cake which
Math 103 Section 11 Take-home Quiz for Chapter 3
Name_
3/11/11
You may use your notes or ask me questions. Assignment is due on Friday, March 25,
2011
5 points
1. Four friends (Joe, Tim, Sam, and Ron) have decided to divide up a multi-flavored cake which
Chapter 4 Handout 1 Solutions
Solution to
Problem#1:
The standard divisor is the total population divided by the number of seats which equals
13.9 million people divided by 25 seats which equals .56 million people/seat.
The standard divisor is the ratio o
Notes on Chapter 4 Handout 1
Here is the Hamilton apportionment of the 6 states from Exercise 1.
MA
6.3
11.33
11
12
.33
Hamilton
apportionmen
t
11
CT
3.4
6.12
6
7
.12
6
ME
1.4
2.52
2
3
.52
NH
1.2
2.16
2
3
.16
RI
1.0
1.80
1
2
.8
VT
0.6
1.08
1
2
.08
25
23
2
Assignment 2A
(Covering material from 2.1-2.2, 2.4)
1. [Suggested warm-ups from the textbook for this homework problem are #11, 13, 15, and 17]
Consider the weighted voting system [12: 9, 4, 3, 2].
a. Write out all winning coalitions for this weighted vot
Math 103 Fall 2014, Voting Theory Assignment 1
11. The following question, and most of the questions for this chapter, pertain to an election which is held
to select the president of an organization. The candidates are Ann (A), Bob (B), Claire (C), and Da
Math 103, Spring 2015, Apportionment Assignment 1
HW1. The Gesundheit Hospital has a nursing staff of 400 nurses working in four shifts:
Morning (6am 12pm)
Afternoon (12pm 6pm)
Evening (6pm 12am)
Late night (12am 6am)
The number of nurses apportioned to e
Final Exam
General information:
The final exam is cumulative. Each
chapter covered this semester will be
represented equally on the final.
Dont forget your (non-graphing)
calculator! You will need it on the final
exam.
Please eat a good meal before the
Math 103 Spring 2015, Voting Theory Assignment 3 - Solutions
Please remember to use complete English sentences when writing your solutions.
See the document How to submit assignments in Sakai in the Resources folder of the Sakai site for your
Math 103 sec
Math 103, Spring 2015
Solutions to Growth and Finance Assignment 2
HW3. Over a period of one week, the Dow Jones Industrial Average (DJIA) did the following:
On Monday the DJIA went up by 3.1%, on Tuesday it went down by 4.8%, on Wednesday it
went down by