Three partners are dividing a plot of land among themselves using the lone-divider method. After the divider D divides the land into three shares s 1 , s 2 , s 3 and, the choosers and C 1 and C 2 submit their bids for these shares. a. Suppose that the choosers’ bid lists are C 1 : { s 2 , s 3 } ; C 2 : { s 1 , s 3 } . Describe two different fair divisions of the land. b. Suppose that the choosers’ bid lists are C 1 : { s 2 , s 3 } ; C 2 : { s 1 , s 3 } . Describe three different fair divisions of the land.
Three partners are dividing a plot of land among themselves using the lone-divider method. After the divider D divides the land into three shares s 1 , s 2 , s 3 and, the choosers and C 1 and C 2 submit their bids for these shares. a. Suppose that the choosers’ bid lists are C 1 : { s 2 , s 3 } ; C 2 : { s 1 , s 3 } . Describe two different fair divisions of the land. b. Suppose that the choosers’ bid lists are C 1 : { s 2 , s 3 } ; C 2 : { s 1 , s 3 } . Describe three different fair divisions of the land.
Solution Summary: The author explains the two different fair divisions of the land. The lone-divider method divides a plot of land into three shares.
Three partners are dividing a plot of land among themselves using the lone-divider method. After the divider D divides the land into three shares
s
1
,
s
2
,
s
3
and, the choosers and
C
1
and
C
2
submit their bids for these shares.
a. Suppose that the choosers’ bid lists are
C
1
:
{
s
2
,
s
3
}
;
C
2
:
{
s
1
,
s
3
}
. Describe two different fair divisions of the land.
b. Suppose that the choosers’ bid lists are
C
1
:
{
s
2
,
s
3
}
;
C
2
:
{
s
1
,
s
3
}
. Describe three different fair divisions of the land.
1 2
21. For the matrix A
=
3 4
find AT (the transpose of A).
22. Determine whether the vector
@
1
3
2
is perpendicular to
-6
3
2
23. If v1
=
(2)
3
and v2 =
compute V1 V2 (dot product).
.
7. Find the eigenvalues of the matrix
(69)
8. Determine whether the vector
(£)
23
is in the span of the vectors
-0-0
and
2
2
1. Solve for x:
2. Simplify:
2x+5=15.
(x+3)² − (x − 2)².
-
b
3. If a = 3 and 6 = 4, find (a + b)² − (a² + b²).
4. Solve for x in 3x² - 12 = 0.
-
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