Answered: Fair Division 1. Four heirs (A, B, C,…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Fair Division

1. Four heirs (A, B, C, and D) must fairly divide an estate consisting of two items - a desk and a vanity - using the method of sealed bids. The players' bids (in dollars) are:

	A	B	C	D
Desk	320	240	260	300
Vanity	140	220	200	160

The original fair share of A is worth: $_____

In the initial allocation, player A:_______and _____the estate $______

After all, is said and done, in the final allocation, player A:
_____ and ______ the estate $_______

2. As part of an inheritance, three children, Abby, Ben and Carla, are dividing four vehicles using Sealed Bids. Their bids (in thousands of dollars) for each item are shown below.

	Abby	Ben	Carla
Motorcycle	6	10	8
Car	11	14	13
Tractor	6	3	5
Boat	4	3	5

In the final allocation, Abby gets which items? (click none, one, or multiple boxes)

Motorcycle
Car
Tractor
Boat

In addition, she ______to/from the estate: $______

Give your answer to the last question to the nearest dollar (careful here - the original amounts were in thousands of dollars)

3. Four heirs (A, B, C, and D) must fairly divide an estate consisting of two items - a desk and a vanity - using the method of sealed bids. The players' bids (in dollars) are:

	A	B	C	D
Desk	200	280	320	260
Vanity	180	160	200	100

The original fair share of A is worth: $_______

In the initial allocation, player A:
____________and __________the estate $_________

After all, is said and done, in the final allocation, player A:
____________and ___________the estate $__________

Four heirs (A, B, C, and D) must fairly divide an estate consisting of two items - a des
method of sealed bids. The players' bids (in dollars) are:
A
C
D
Desk
320
240
260
300
Vanity
140
220
200
160
#1
The original fair share of A is worth: $
In the initial allocation, player A:
Select an answer
v and Select an answer v the estate $
After all is said and done, in the final allocation, player A:
Select an answer
and Select an answer
the estate $
As part of an inheritance, three children, Abby, Ben and Carla, are dividing four vehic)
Their bids (in thousands of dollars) for each item is shown below.
Abby
Ben
Carla
Motorcycle
6.
10
8
Car
11
14
13
Tractor
%232
Вoat
4
3
In the final allocation, Abby gets which items? (click none, one, or multiple boxes)
OMotorcycle
OCar
OTractor
OBoat
In addition, she Select an answer v to/from the estate: $
Give your answer to the last question to the nearest dollar (careful here - the original a
of dollars)
Four heirs (A, B, C, and D) must fairly divide an estate consisting of two items - a des
method of sealed bids. The players' bids (in dollars) are:
A
C
Desk
200
280
320
%23
260
Vanity
180
160
200
100
The original fair share of A is worth: $
In the initial allocation, player A:
Select an answer
v and Select an answer v the estate S
After all is said and done, in the final allocation, player A:
Select an answer
and Select an answer
the estate $
3.

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