Chapter 3, Problem 65E

Three players (A, B, and C) are sharing the chocolate-strawberry-vanilla-cake shown in $Fig.3-39\left(a\right).Fig3-39\left(b\right)$ 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.