Three players ( A, B, and C ) are sharing the chocolate-strawberry-vanilla-cake shown in F i g . 3 − 3 9 ( a ) . F i g 3 − 3 9 ( b ) shows the relative value that each player gives to the three parts of the cake. There is a way to divide this cake into three pieces (using just three cuts) so that each player ends up with a piece that he or she will value at exactly 50 % of the value of the cake. Find such a fair division.
Three players ( A, B, and C ) are sharing the chocolate-strawberry-vanilla-cake shown in F i g . 3 − 3 9 ( a ) . F i g 3 − 3 9 ( b ) shows the relative value that each player gives to the three parts of the cake. There is a way to divide this cake into three pieces (using just three cuts) so that each player ends up with a piece that he or she will value at exactly 50 % of the value of the cake. Find such a fair division.
Solution Summary: The author illustrates the fair division of chocolate-strawberry-vanilla-cake by dividing it into three equal parts.
Three players (A, B, and C) are sharing the chocolate-strawberry-vanilla-cake shown in
F
i
g
.
3
−
3
9
(
a
)
.
F
i
g
3
−
3
9
(
b
)
shows the relative value that each player gives to the three parts of the cake. There is a way to divide this cake into three pieces (using just three cuts) so that each player ends up with a piece that he or she will value at exactly
50
%
of the value of the cake. Find such a fair division.
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