MYLAB MATH FOR EXCURSIONS IN MATHEMATIC
9th Edition
ISBN: 9780136415893
Author: Tannenbaum
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Chapter 3, Problem 32E
Four players (Abe, Betty, Cory, and Dana) are dividing a pizza worth
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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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Tim, Maia, Kelly, and Mark are dividing a cake among
themselves using the lone-divider method. The
divider divides the cake into four slices (s,, s, Sa.
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the slices to each player expressed as a percent of
the total value of the cake. Complete parts (a) and
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28%
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24%
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(b).
(a) Who was the divider?
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(b) Find a fair division of the cake. Choose the correct answer below.
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O B. Tim gets s,; Maia gets s,; Kelly gets s; Mark gets s
OC. Tim gets s; Maia gets s: Kelly gets s,; Mark gets s.
O D. Tim gets s,; Maia gets s: Kelly gets s: Mark gets s.
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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. 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.
.
Four 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?
Chapter 3 Solutions
MYLAB MATH FOR EXCURSIONS IN MATHEMATIC
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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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- 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 Dividerarrow_forwardThree players (Arlo, Melvin, Maxine) must divide a cake among them. The cake is divided into three slices.The table below shows the value each slice in the eyes of each of the players. S1 S2 S3 Arlo $5.00 $4.00 $3.00 Melvin $5.00 $5.00 $5.00 Maxine $5.00 $4.00 $6.00 If one of the players divided the cake, who was the divider? Group of answer choices Arlo Maxine Melvin More information is required. None of the players divided the cake.arrow_forwardFour 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_forward
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