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MA 103 TEST 2 1. Five suite mates are dividing a pizza using the lone divider method. The Chooser declarations are as follows: Chooser 1: {S1, S2}, Chooser 2:{S2, S3, S4}, Chooser 3: {S2}, Chooser 4: {S3, S5}. a) Show the results of this scheme. b) Is there more than one solution? If so, what is it? 2. Ann, Bob, Carol, and Don agree to use the sealed bid method to divide their great- aunt’s estate that consists of a house, a vacation cabin, and a boat. The bids are: Ann Bob Carol Don House 120000 200000 140000 180000 Cabin 60000 40000 90000 50000 Boat 30000 24000 20000 20000 Describe the results of the division. 3. Four Players { W, X, Y, Z } agree to divide the 16 items shown below by lining them up in order and using the method of markers. The players’ bids are as follows: Z 1 Y 1 W 1 X 1 , Z 2 Y 2 X 2 W 2 Z 3 W 3 X 3 Y 3 a) Describe the allocation of items to each player. b) Which items are left over? c) How might you distribute the left-overs?
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Unformatted text preview: ( OVER ) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 4. A transit company has four bus routes A, B, C, and D. 100 buses are to be assigned to the routes according to the number of riders on each route. Route A B C D Riders 12444 36503 19581 31472 c) Find the standard divisor and each routes standard quota d) Apportion the buses using Hamiltons method e) Apportion the buses using Jeffersons method. 5. Three players X, Y, Z decide to divide a $12 cake that is half orange and half strawberry using the lone chooser method. X likes only orange and cuts first. Y likes only strawberry and makes the first choice. Z likes strawberry twice as much as orange. d) Describe a possible fair division of the cake. e) How much value does each player receive? orange strawberry...
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This note was uploaded on 03/27/2009 for the course MA 103 taught by Professor Solfiell during the Spring '08 term at N.C. State.

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