Excursions In Modern Mathematics, 9th Edition
9th Edition
ISBN: 9780134494142
Author: Tannenbaum
Publisher: PEARSON
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Question
Chapter 3, Problem 27E
(a)
To determine
If it is a fair division or not.
(b)
To determine
To find:
If it is a fair division or not.
(c)
To determine
If it is a fair division or not.
(d)
To determine
To find:
If it is a fair division or not.
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Students have asked these similar questions
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
Two construction companies, Giant and Sky, bid for the right to build in a field. The possible bids are $ 10 Million, $ 20 Million, $ 30 Million, S 35 Million and S 40 Million. The winner is the company with the higher bid. The two companies decide that in the case of a tie (equal bids), Giant is the winner and will get the field. Giant has ordered a survey and, based on the report from the survey, 1 concludes that getting the field for more than $ 35 Million is as bad as not getting it (assume loss), except in case of a tie (assume win) Sky is not aware of this survey. (a) State reasons why/how this game can be described as a two-players zero-sum game [
Question 6 is unpinned. Click to pin.
Question at position 6
Camila and Mark are going to divide a laptop and a computer desk using the Method of Sealed Bids. They place the following bids on the items.
Camila bids $235 on the laptop, and $69 on the desk.
Mark bids $56 on the laptop, and $45 on the desk.
Camila, with higher bids on both of them, will take both items. To make the division fair, how much money will she have to give to Mark?
Chapter 3 Solutions
Excursions In Modern Mathematics, 9th Edition
Ch. 3 - Henry, Tom, and Fred are breaking up their...Ch. 3 - Alice, Bob, and Carlos are dividing among...Ch. 3 - Angie, Bev, Ceci, and Dina are dividing among...Ch. 3 - Mark, Tim, Maia, and Kelly are dividing among...Ch. 3 - Allen, Brady, Cody, and Diane are sharing a cake....Ch. 3 - Carlos, Sonya, Tanner, and Wen are sharing a cake....Ch. 3 - Four partners Adams, Benson, Cagle, and Duncan...Ch. 3 - Prob. 8ECh. 3 - Suppose that Angelina values strawberry cake twice...Ch. 3 - Suppose that Brad values chocolate cake thrice as...
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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- 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 parceis s1, s2, s3, and $4. 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. S1 S2 s3 S4 Alonzo -170,600 $50,000 $80,000 $50,000 $55,000 $70,000 Brenda 175,000 $40,000 $110,000 Camille $40,000 =LO, 0 00 $30,000 =000 Donald $60,000 4) Who was the divider? A) Donald B) Alonzo O Camille Brenda E) none of these 5) What was Brenda's bid list? A) {s2, s4} .000 B) (s2, S3, S4} O$2, s3) D) {s2 } E) none of these 6) Which of the following is a fair division of the property? A Alonzo gets s1, Brenda gets s2, Camille gets s3, Donald gets s4 B) Alonzo gets s1, Brenda gets s4, Camille gets s2, Donald gets s3 C) Alonzo gets s1, Brenda gets s2, Camille gets s4, Donald gets s3 D) Alonzo gets s2, Brenda gets s1,…arrow_forwardTwo construction companies, Giant and Sky, bid for the right to build in a field. The possible bids are $ 10 Million, $ 20 Million, $ 30 Million, $ 35 Million and $ 40 Million. The winner is the company with the higher bid. The two companies decide that in the case of a tie (equal bids), Giant is the winner and will get the field. Giant has ordered a survey and, based on the report from the survey, concludes that getting the field for more than $ 35 Million is as bad as not getting it (assume loss), except in case of a tie (assume win). Sky is not aware of this survey. (a) State reasons why/how this game can be described as a two-players-zero-sum game (b) Considering all possible combinations of bids, formulate the payoff matrix for the game. (c) Explain what is a saddle point. Verify: does the game have a saddle point? (d) Construct a linear programming model for Company Giant in this game. (e) Produce an appropriate code to solve the linear programming model in part (d). (f)…arrow_forwardFour 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.arrow_forward
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