the following liner programming has optimal solution X

$*$

$=$

$($

$5$

$,$

$0$

$,$

$0$

$,$

$0$

$,$

$2$

$)$

$$with z

$*$

$=$

$6$

$0$

$$and XB

$=$

$($

X

$1$

$,$

X

$2$

$,$

X

$3$

$)$

$.$