Chapter 3, Problem 3E

Angie, Bev, Ceci, and Dina are dividing among themselves a set of common assets equally owned by the four of them. The assets are divided into four shares $\left(s_1,s_2\text{,}{s}_3\text{ and }{s}_4\right)$. Table 3-14 shows the values of the shares to each player expressed as a percent of the total value of the assets.

Table 3-13

	$s_1$	$s_2$	$s_3$	$s_4$
$\text{Angie}$	22%	26%	28%	24%
$\text{Bev}$	25%	26%	22%	27%
$\text{Ceci}$	20%	30%	27%	23%
$\text{Dina}$	25%	25%	25%	25%

a. Which of the shares are fair shares to Angie?

b. Which of the shares are fair shares to Bev?

c. Which of the shares are fair shares to Ceci?

d. Which of the shares are fair shares to Dina?

e. Find all possible fair divisions of the assets using $s_1,s_2\text{,}{s}_3\text{ and }{s}_4$ as shares.