Excursions in Modern Mathematics (9th Edition)
9th Edition
ISBN: 9780134468372
Author: Peter Tannenbaum
Publisher: PEARSON
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Chapter 3, Problem 43E
Ana, Belle, and Chloe are dividing four pieces of furniture using the method of sealed bids. Table 3-22 shows the player bids on each of the items.
| Ana | Belle |
|
|
| Dresser |
|
|
|
| Desk |
|
|
|
| Vanity |
|
|
|
| Tapestry |
|
|
|
a. Find the value of each player’s fair share.
b. Describe the first settlement (who gets which item and how much do they pay or get in cash).
c. Find the surplus after the first settlement is over.
d. Describe the final settlement (who gets which item and how
much do they pay or get in cash).
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Students have asked these similar questions
Chuck and Mike need to divide a couch and a pool table. Using the Method of Sealed Bids, they place the following bids on the items.
Chuck bids $454 on the couch, and $82 on the pool table.
Mike bids $101 on the couch, and $143 on the pool table.
Chuck will get the couch. Mike will take the pool table and will also get a little bit of money from Chuck. To make the division fair, how much money will Chuck have to give to Mike?
Four
partners (Alonzo, Brenda, Camille, and Donald) are dividing a parcel of land valued at $240,000 among themselves using the lone divider method. Using a map, the divider divides the property
into four parcels; 5₁, 52, 53, and s4. The following table shows the value of the four parcels in the eyes of each partner, but some of the entries in the table are missing. What was Brenda's bid list?
51
5₂
Alonzo
$50,000
Brenda $40,000 $80,000
Camille $110,000 $40,000 $30,000
Donald $60,000
OA. (₂₂)
OB. (₂4)
53
54
$50,000 $70,000
$55.000
OC. (₂.₂)
OD. (₂.)
OE. None of these
CELLD
An estate is left to two children, Lenore and Raven, and consists of one item, a ski chalet. The bids by the children are shown in the following table.
Lenore
Raven
Chalet
$400,000
$700,000
Use the Knaster inheritance procedure to divide the estate based on the bids of the two children.
Determine the value of n,
n − 1
n
,
and
1
n
.
How much is left in the escrow account after the losing child is credited with her portion?
What is the total amount received by the losing child?
What final amount must the winning child pay?
Chapter 3 Solutions
Excursions in Modern Mathematics (9th Edition)
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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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