Five players are dividing a cake among themselves using the lone-divider method. After the divider D cuts the cake into five slices ( s 1 , s 2 , s 3 , s 4 , s 5 ) the choosers C 1 , C 2 , C 3 , and C 4 submit their bids for these shares. a. Suppose that the choosers’ bid lists are C 1 : { s 2 , s 3 } ; C 2 : { s 2 , s 4 } ; C 3 : { s 1 , s 2 } ; C 4 : { s 1 , s 3 , s 4 } Describe three different fair divisions of the land. Explain why that’s it—why there are no others. b. Suppose that the choosers bid lists are C 1 : { s 1 , s 4 } ; C 2 : { s 2 , s 4 } ; C 3 : { s 2 , s 4 , s 5 } ; C 4 : { s 2 } Find a fair division of the cake. Explain why that’s it—there are no others.
Five players are dividing a cake among themselves using the lone-divider method. After the divider D cuts the cake into five slices ( s 1 , s 2 , s 3 , s 4 , s 5 ) the choosers C 1 , C 2 , C 3 , and C 4 submit their bids for these shares. a. Suppose that the choosers’ bid lists are C 1 : { s 2 , s 3 } ; C 2 : { s 2 , s 4 } ; C 3 : { s 1 , s 2 } ; C 4 : { s 1 , s 3 , s 4 } Describe three different fair divisions of the land. Explain why that’s it—why there are no others. b. Suppose that the choosers bid lists are C 1 : { s 1 , s 4 } ; C 2 : { s 2 , s 4 } ; C 3 : { s 2 , s 4 , s 5 } ; C 4 : { s 2 } Find a fair division of the cake. Explain why that’s it—there are no others.
Solution Summary: The author explains the three fair divisions of the land using the lone-divider method.
Five players are dividing a cake among themselves using the lone-divider method. After the divider
D
cuts the cake into five slices
(
s
1
,
s
2
,
s
3
,
s
4
,
s
5
)
the choosers
C
1
,
C
2
,
C
3
, and
C
4
submit their bids for these shares.
a. Suppose that the choosers’ bid lists are
C
1
:
{
s
2
,
s
3
}
;
C
2
:
{
s
2
,
s
4
}
;
C
3
:
{
s
1
,
s
2
}
;
C
4
:
{
s
1
,
s
3
,
s
4
}
Describe three different fair divisions of the land. Explain why that’s it—why there are no others.
b. Suppose that the choosers bid lists are
C
1
:
{
s
1
,
s
4
}
;
C
2
:
{
s
2
,
s
4
}
;
C
3
:
{
s
2
,
s
4
,
s
5
}
;
C
4
:
{
s
2
}
Find a fair division of the cake. Explain why that’s it—there are no others.
During busy political seasons, many opinion polls are conducted. In apresidential race, how do you think the participants in polls are generally selected?Discuss any issues regarding simple random, stratified, systematic, cluster, andconvenience sampling in these polls. What about other types of polls, besides political?
No chatgpt pls will upvote
Which degenerate conic is formed when a double cone is sliced through the apex by a plane parallel to the slant edge of the cone?
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