3 players (April, Brandy and Cindy) are sharing the cake. Assume that cake is divided into 3 slices (s1, s2, s3). Following table provides value of every slice in eyes of each of players. A fair share would be 1/3 = .333 = 33.3% or greater.
|
s1
|
s2
|
s3
|
|
April
|
$4.50
|
$5.50
|
$5.00
|
|
Brandy
|
$5.50
|
$5.25
|
$5.00
|
|
Cindy
|
$5.60
|
$5.00
|
$5.00
|
i) Which of three slices are fair shares to April?
ii) Which of three slices are fair shares to Brandy?
iii) Which of three slices are fair shares to Cindy?
iv) Determine the fair division of cake using S1, S2, and S3 as fair shares. If this is not possible, describe why not.