Midterm Review Packet

Consider the following problem for questions 105-.108Andrew and Keith’s parents are selling their cape house. They told Keith and Andrew that they couldsplit the items left in the house. Keith and Andrew have decided to use the Adjusted Winner Procedureand have assigned points to the items as follows:AndrewKeithKayak 10 15sail boat 20 15wake board 10 10Wii video game 15 20HD TV 25 30Stereo 10 5Computer 10 5105. How do you determine who gets the items initially?A. highest bidder B. lowest bidder C. coin toss D. NOTA106. Who gets the tie (wake board ) initially?A. Andrew B. Keith107. What item is shared?A. Kayak B. Wii Video game C. HD TV D. wake board108. What fraction of the shared item does Andrew get?3A.B. 8 7C.D. 1211 111919E. NOTA------------------------------------------------------------------------------------------------------------------------------109. Five players want to divide a cake fairly using the lone divider method. The divider cuts the cakeinto 5 slices. Determine a possible fair divisions of the cake given the following bids:a. C1 = { s2, s3 } C2 = { s3 } C3 = { s1, s4 } C4 = { s1}A. D= { s5 } C1 = { s3 } C2 = { s3 } C3 = { s4 } C4 = { s1}B. D= { s5 } C1 = { s2 } C2 = { s3 } C3 = { s4 } C4 = { s1}C. D= { s1 } C1 = { s2 } C2 = { s3 } C3 = { s4 } C4 = { s5}D. D= { s1 } C1 = { s2 } C2 = { s3 } C3 = { s4 } C4 = { s5}E. NOTA110. Three players want to divide a cake fairly using the lone divider method. The divider cuts the cakeinto 3 slices. Describe a fair division given the following bids: C1 = { s3 }, C2 = { s3 }A. D= { s3 } C1 = { s1 } C2 = { s2 }B. D= { s3 } C1 = { s2 } C2 = { s1 }C. D= { s1 } C1 = { s2 } C2 = { s3 }D. D= { s1 } C1 = { splits S2 and S3 with C2 } C2 = { splits S2 and S3 with C1 }