Solve the following LP problem using the simplex method. Max Z = 2X1 + X2 st -3X1 - X2 equal or greater -6 -X1 + X2 equal or greater 4 and X1 equal...

Y1 - Y2 equal or greater 1

a) Solve this LP problem using the Big-M method.

b) Check your solution to part a) by resolving the problem graphically.

c) Write down the dual LP problem.

d) Solve the dual LP problem using the dual theorem.

e) Check your answer to part c) by resolving the dual LP problem using the theorem of complementary slackness.