Chapter 5.5, Problem 5E

In Exercises 1-8, write down (without solving) the dual LP problem. [HINT: See Quick Example 4.]

Maximize $p=x+y+z+w$ subject to $x+y+z\le 3$

$y+z+w\le 4$

$x+z+w\le 5$

$x+y+w\le 6$

$x\ge 0,y\ge 0,z\ge 0,w\ge 0$