Return to the standard-form LP of Exercise 6-31, and do parts (a)–(d), this time using basis

(x3, x4). Then

(e) State all KKT conditions for your primal solution of part

(b) and dual solution of part

(d) to be optimal in their respective problems.

(f) Demonstrate your solutions of parts (b)

and

(d) are optimal by showing they satisfy KKT conditions of part (e).