Course Name: Operation Research (Optimization)

May you please answer all of the questions in full steps? Thankyou very much for your cooperation & time.

Consider the following LP: max z = -2x1 + 6x2 + 8x3 -X1 - X3 2-280 -2x1 + 2x2 + 4x3 = 320 X1, X2, X3 20 a) (20 points) Construct the simplex table. b) (10 points) Define the entering variables. Explain how you select the entering variables. c) (10 points) Define the leaving variables. Explain how you select the leaving variables. d) (10 points) Define pivot elements. e) (30 points) Complete Gauss-Jordan column row operations. f) (20 points) Find the final solution for the problem and explain basic & non-basic variables and Z value