$6$

$.$

$3$

$-$

$5$

$.$

$$Consider the two versions of the dual problem for the radia

$-$

tion therapy example that are given in Tables

$6$

$.$

$1$

$4$

$$and

$6$

$.$

$1$

$5$

$.$

$$Review

in Sec.

$6$

$.$

$3$

$$the general discussion of why these two versions are

completely equivalent. Then fill in the details to verify this equiva

$-$

lency by proceeding step by step to convert the version in Table

$6$

$.$

$1$

$4$

to equivalent forms until the version in Table

$6$

$.$

$1$

$5$

$$is obtained.

TABLE

$6$

$.$

$1$

$4$

$$One primal

$-$

dual form for the radiation therapy example

Primal Problem

TABLE

$6$

$.$

$1$

$5$

$$The other primal

$-$

dual form for the radiation therapy example

Primal Problem