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#4. Four roommates are going their separate ways after graduation and wish to divide up their jointly owned furniture (equal shares) and the moving chores

#4. Four roommates are going their separate ways after graduation and wish to divide up their jointly owned furniture (equal shares) and the moving chores by the method of sealed bids Their bids (in dollars) on the items are shown in the following table.

Audrey

Billy

Carl

David

Stereo

300

250

200

280

Couch

200

350

300

100

Table

250

200

240

80

Desk

150

150

200

220

Cleaning the rugs

- 80

- 70

- 100

- 60

Patching nails holes

- 60

- 30

- 60

- 40

Repairing the window

- 60

- 50

- 80

- 80

a. What is each roommates estimate of what should be his fair?

b. What item(s) does each player receive and what jobs does each player perform?

c. How much does each player pay or receive?

d. How much surplus cash is there?

e. What is the final outcome?

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