Student's Solutions Manual For Excursions In Modern Mathematics Format: Paperback
9th Edition
ISBN: 9780134469133
Author: Tannenbaum, Peter
Publisher: Prentice Hall
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Textbook Question
Chapter 3, Problem 32E
Four players (Abe, Betty, Cory, and Dana) are dividing a pizza worth
Table 3-21
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Abe |
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Betty |
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Cory |
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Dana |
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a. Who was the divider? Explain.
b. Determine each chooser’s bid.
c. Find a fair division of the pizza.
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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
Four partners are dividing a piece of land worth $159,200 among themselves using the lone-divider method. The following table shows the value of the parcels in the eyes of each partner, but some of the entries are missing.
S1
S2
S3
S4
John
$47,760
$47,760
Jackie
$47,760
$31,840
$47,760
Bill
$39,800
$39,800
$39,800
Barb
$31,840
$79,600
$31,840
John values S1 and S4 the same. What is this value?
Group of answer choices
$47,760
$39,800
$31,840
$23,880
Cannot be determined.
Four partners are dividing a piece of land worth $124,800 among themselves using the lone-divider method. The following table shows the value of the parcels in the eyes of each partner, but some of the entries are missing.
S1
S2
S3
S4
Jim
$6,240
$49,920
$62,400
Jackie
$37,440
$37,440
$24,960
Bob
$31,200
$31,200
Betty
$24,960
$24,960
$62,400
What is the value of S2 for Jim?
Group of answer choices
$124,800
$49,920
$12,480
$6,240
Cannot be determined.
Chapter 3 Solutions
Student's Solutions Manual For Excursions In Modern Mathematics Format: Paperback
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Ch. 3 - Suppose that Brad values chocolate cake four as...Ch. 3 - Suppose that Angelina values strawberry cake five...Ch. 3 - Karla and five other friends jointly buy the...Ch. 3 - Marla and five other friends jointly buy the...Ch. 3 - Suppose that they flip a coin and Jackie ends up...Ch. 3 - Suppose they flip a coin and Karla ends up being...Ch. 3 - Suppose that they flip a coin and Martha ends up...Ch. 3 - Suppose that they flip a coin and Nick ends up...Ch. 3 - Suppose that David is the divider and Paula is the...Ch. 3 - Suppose that Paula is the divider and David is the...Ch. 3 - Three partners are dividing a plot of land among...Ch. 3 - Three partners are dividing a plot of land among...Ch. 3 - Four partners are dividing a plot of land among...Ch. 3 - Four partners are dividing a plot of land among...Ch. 3 - Mark, Tim, Maia, and Kelly are dividing a cake...Ch. 3 - Allen, Brady, Cody; and Diane are sharing a cake...Ch. 3 - Prob. 27ECh. 3 - Four partners are dividing a plot of land among...Ch. 3 - Prob. 29ECh. 3 - Five players are dividing a cake among themselves...Ch. 3 - Four partners Egan, Fine, Gong, and Hart jointly...Ch. 3 - Four players Abe, Betty, Cory, and Dana are...Ch. 3 - Exercises 33 and 34 refer to the following...Ch. 3 - Exercises 33 and 34 refer to the following...Ch. 3 - Exercise 35 through 38 refer to the following...Ch. 3 - Exercise 35 through 38 refer to the following...Ch. 3 - Prob. 37ECh. 3 - Prob. 38ECh. 3 - Exercises 39 and 40 refer to the following:...Ch. 3 - Exercises 39 and 40 refer to the following:...Ch. 3 - Jackie, Karla, and Lori are dividing the foot-long...Ch. 3 - Jackie, Karla, and Lori are dividing the foot-long...Ch. 3 - Ana, Belle, and Chloe are dividing four pieces of...Ch. 3 - Andre, Bea, and Chad are dividing an estate...Ch. 3 - Five heirs A,B,C,D, and E are dividing an estate...Ch. 3 - Oscar, Bert, and Ernie are using the method of...Ch. 3 - Anne, Bette, and Chia jointly own a flower shop....Ch. 3 - Al, Ben and Cal jointly own a fruit stand. They...Ch. 3 - Ali, Briana, and Caren are roommates planning to...Ch. 3 - Anne, Bess and Cindy are the roommates planning to...Ch. 3 - Prob. 51ECh. 3 - Three players (A,B and C) are dividing the array...Ch. 3 - Three players (A,B,andC) are dividing the array of...Ch. 3 - Three players (A,B,andC) are dividing the array of...Ch. 3 - Five players (A,B,C,D,andE) are dividing the array...Ch. 3 - Four players (A,B,C,andD) are dividing the array...Ch. 3 - Prob. 57ECh. 3 - Queenie, Roxy, and Sophie are dividing a set of 15...Ch. 3 - Ana, Belle, and Chloe are dividing 3 Choko bars, 3...Ch. 3 - Prob. 60ECh. 3 - Prob. 61ECh. 3 - Prob. 62ECh. 3 - Prob. 63ECh. 3 - Prob. 64ECh. 3 - Three players A, B, and C are sharing the...Ch. 3 - Angeline and Brad are planning to divide the...Ch. 3 - Prob. 67ECh. 3 - Efficient and envy-free fair divisions. A fair...Ch. 3 - Suppose that N players bid on M items using the...Ch. 3 - Asymmetric method of sealed bids. Suppose that an...Ch. 3 - Prob. 73E
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- A commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The commuter likes to vary the trip as much as posible, so she alwaysleaves and returns by different roads. In how many different ways can she make the round-trip?arrow_forwardFour partners are dividing a piece of land that each see as worth $124,000 among themselves. They use the lone-divider method. Alison dividing 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 $31,000 $31,000 $31,000 $31,000 Ben $25,000 $36,000 $38,000 $25,000 Cailyn $35,000 $25,000 $36,000 $28,000 Derek $26,000 $28,000 $40,000 $30,000 How do we resolve this situation according to Lone Divider?arrow_forwardFour partners are dividing a piece of land that each see as worth $124,000 among themselves. They use the lone-divider method. Alison dividing 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 $31,000 $31,000 $31,000 $31,000 Ben $25,000 $36,000 $38,000 $25,000 Cailyn $35,000 $25,000 $36,000 $28,000 Derek $26,000 $28,000 $40,000 $30,000 How do we resolve this situation according to Lone Divider? Group of answer choices Alison gets S1, Ben gets S2, Cailyn gets S4, and Derek gets S3. Alison gets S4, Ben gets S2, Cailyn gets S1, and Derek gets S3. Alison takes S4 and the other there must re-divide the re-combined piece from S1, S2, S3. Alison gets S4, Derek gets S3. Ben and Cailyn recombine S1 and S2 and play divider-chooser. There is no way to resolve this according to Lone Divider. .arrow_forward
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