In: Math
Consider the following LOP P.
Max. z = 212x1 −320x2 +273x3 −347x4 +295x5
s.t. −4x1 −2x3 +8x5 ≤ −22
2x1 +3x2 −x4 = 31
−5x2 +3x3 −2x5 ≤ 27
−7x1 −8x3 +6x4 = −38
−9x3 −2x4 +x5 ≤ −40
−x2 −3x4 −5x5 ≤ 42
& x1, x3, x4 ≥ 0
a. Find x∗ and write the Phase 0, I and II pivots that solve
P.
b. Use the General Complementary Slackness Theorem to find
the optimal certificate y∗
[do not solve the dual LOP D!].