Excursions in Modern Mathematics (9th Edition)
9th Edition
ISBN: 9780134468372
Author: Peter Tannenbaum
Publisher: PEARSON
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Chapter 3, Problem 2E
Alice, Bob, and Carlos are dividing among themselves the family farm equally owned by the three of them. The property is divided into three shares
Table 3-13
| S1 | S2 | S3 | |
| Alice | 38% | 28% | 34% |
| Bob | 3313% | 3313% | 3313% |
| Carlos | 34% | 40% | 26% |
a. Which of the shares are fair shares to Alice?
b. Which of the shares are fair shares to Bob?
c. Which of the shares are fair shares to Carlos?
d. Find all possible fair divisions of the assets using
e. Of the fair divisions found in (d), which one is the best?
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Students have asked these similar questions
Three players (Arlo, Melvin, Julie) must divide a cake among them. The cake is divided into three slices. The table below shows the value of S1 and S2 as a percentage of the value of the entire cake. The values for S3 are missing, but can be determined with the given information.
S1
S2
S3
Arlo
50%
30%
Melvin
50%
45%
Julie
20%
30%
Which of the slices does Arlo deem fair?
Three players (Arlo, Melvin, Julie) must divide a cake among them. The cake is divided into three slices.The table below shows the value of S1 and S2 as a percentage of the value of the entire cake. The values for S3 are missing, but can be determined with the given information.
S1
S2
S3
Arlo
50%
30%
Melvin
50%
45%
Julie
20%
30%
Which of the slices does Arlo deem fair?
Group of answer choices
S1 and S2
S3 only
S2 only
S1, S2, and S3
S1 only
Four partners are dividing a piece of land that each see as worth $124,000 among themselves. They use the lone-divider method. This time Derek is the divider, and creates the parcels S1, S2, S3, and S4. The following table shows the value of the parcels in the eyes of each partner.
S1
S2
S3
S4
Alison
$27,000
$35,000
$29,000
$33,000
Ben
$30,000
$32,000
$25,000
$37,000
Cailyn
$29,000
$37,000
$28,000
$30,000
Derek
$31,000
$31,000
$31,000
$31,000
What happens next according to lone-divider?
Group of answer choices
Alison gets S4, Cailyn gets S2, Ben and Derek have to recombine S1 and S3 and play Divider-Chooser
Derek gets one of S1 or S3. The other players recombine the remaining pieces and re-divide.
Alison gets S2, Ben gets S1, Cailyn gets S4, Derek gets S3
Alison gets S3, Ben gets S2, Cailyn gets S4, Derek gets S1
There is no way to resolve this according to Lone Divider
Chapter 3 Solutions
Excursions in Modern Mathematics (9th Edition)
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