operation research

Problem 2- (25 marks) The Next-to-last tableau (iteration F-1) of an unknown LP problem has been shown below. We know that the original problem has been in standard form and the only original variables of the problem are x1, x2 and x3. Using the Matrix Form relationships and Fundamental Insight: i) Obtain (Fill out) the last/Final (optimal Tableau: Iteration F): By using Revised Simplex approach (3 marks) . By regular tabular simplex (3 marks) ii) Retrieve (Fill out) the initial Tableau (Iteration 0) (15 marks) iii) Write out the algebraic form of the very original problem (4 marks) Show all your work (Matrix operation calculations) . Next To last Tableau (Iteration F-1) Basic Variable Eq Coefficient of: N XI X2 X3 X4 X5 X6 Right Side z (0) 1 0 -1 5 2 0 0 8 0 1 -1 3 1 0 0 4 (2) 0 0 3 -6 -2 1 0 2 (3) 0 0 0 -4 -1 0 1 3 Fill in the Final/Optimal Tableau (Iteration F) Coefficient of: Basic Variable Eq N X1 X2 X3 X4 X5 X6 Right Side Z (0) 1 (1) 0 (2) 0 (3) 0 Calculations: Problem 2- (25 marks) The Next-to-last tableau (iteration F-1) of an unknown LP problem has been shown below. We know that the original problem has been in standard form and the only original variables of the problem are x1, x2 and x3. Using the Matrix Form relationships and Fundamental Insight: i) Obtain (Fill out) the last/Final (optimal Tableau: Iteration F): By using Revised Simplex approach (3 marks) . By regular tabular simplex (3 marks) ii) Retrieve (Fill out) the initial Tableau (Iteration 0) (15 marks) iii) Write out the algebraic form of the very original problem (4 marks) Show all your work (Matrix operation calculations) . Next To last Tableau (Iteration F-1) Basic Variable Eq Coefficient of: N XI X2 X3 X4 X5 X6 Right Side z (0) 1 0 -1 5 2 0 0 8 0 1 -1 3 1 0 0 4 (2) 0 0 3 -6 -2 1 0 2 (3) 0 0 0 -4 -1 0 1 3 Fill in the Final/Optimal Tableau (Iteration F) Coefficient of: Basic Variable Eq N X1 X2 X3 X4 X5 X6 Right Side Z (0) 1 (1) 0 (2) 0 (3) 0 Calculations