Any help is appreciated!

The problem is:

Part (a) - Derive the Complementary Slackness Conditions for a primal-dual of the form:

(P)

max $\displaystyle c^T$x

Ax = b

$\displaystyle x \geq 0$

and

(D)

min $\displaystyle y^T$b

$\displaystyle y^T$A $\displaystyle \geq c^T$

Part (b) - Prove that if the primal (P) has anon-degeneratebasic optimal solution, then the dual (D) has auniqueoptimal solition. [HINT: The matrix B in the optimal dictionary is invertible sinceBis a basis.]

Thanks!