Math Problem Statement
AnneAnne,
BessBess,
and
CindyCindy
are roommates planning to move out of their apartment. They identify five major chores that need to be done before moving out and decide to use the method of sealed bids to reverse auction the chores. The accompanying table shows the bids that each roommate made for each chore. Describe the final outcome of the division (which chores are done by each roommate and how much each roommate pays or gets paid.)
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Part 1
Describe
AnneAnne's
part of the agreement. Select the correct choice below and fill in the answer box(es) within your choice.
(Round to the nearest cent as needed.)
A.
AnneAnne
does no chores and gets
$enter your response here.
B.
AnneAnne
does chore(s)
enter your response here
and
getsgets
$enter your response here.
(Use a comma to separate answers as needed.)
C.
AnneAnne
does chore(s)
enter your response here
and
payspays
$enter your response here.
(Use a comma to separate answers as needed.)
D.
AnneAnne
does no chores and pays
$enter your response here.
Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.)input field 7input field 8input field 9input field 10input field 11input field 12)input field 13input field 14input field 15input field 16input field 17input field 18)Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.)input field 7input field 8input field 9input field 10input field 11input field 12)input field 13input field 14input field 15input field 16input field 17input field 18)Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.)input field 7input field 8input field 9input field 10input field 11input field 12)input field 13input field 14input field 15input field 16input field 17input field 18)Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.Click the icon to view the table of bids.)
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Bid Table
AnneAnne
BessBess
CindyCindy
Chore 1
$3030
$2020
$4040
Chore 2
$1010
$5050
$2222
Chore 3
$2020
$3030
$1515
Chore 4
$2020
$3030
$1010
Chore 5
$4040
$2020
$1515
pop-up content ends
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Math Problem Analysis
Mathematical Concepts
Reverse Auction
Fair Division
Sealed Bids
Bidding
Formulas
Fair Share = Total Bids / Number of Roommates
Payment = Fair Share - Value of Chores Assigned
Theorems
Fair Division Principle in Sealed Bids
Suitable Grade Level
Grades 9-12
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