Chapter 3, Problem 26E

Allen, Brady, Cody; and Diane are sharing a cake valued at $20 using the lone-divider method. The divider divides the cake into four slices $\left(s_1,s_2,s_3,\text{and}{s}_4\right)$. $Table3-19$ shows the values of the slices in the eyes of each player.

$Table3-19$

	$s_1$	$s_2$	$s_3$	$s_4$
Allen	$\$4.00$	$\$5.00$	$\$4.00$	$\$7.00$
Brady	$\$6.00$	$\$6.50$	$\$4.00$	$\$3.50$
Cody	$\$5.00$	$\$5.00$	$\$5.00$	$\$5.00$
Diane	$\$7.00$	$\$4.50$	$\$4.00$	$\$4.50$

a Who was the divider?

b. Find a fair division of the cake.