Big M for a max (min) Linear Programming problem. 2 phase method for a Linear Programming problem. Linear Programming: Penn State Math 484 Lecture Notes Version 1.8.3. The Single Arti cial Variable Technique102 5. Problems that Can’t be Initialized by Hand103. Belinfante presented in class. Solving Linear Programs 2. It solves any linear program.
Big M Simplex Method, Example, Linear Programming. Let's solve the following example with the help of this method. We will use the same process as used in previous example. Maximize z = - 4x. Table 2 cj - 4 - 2 0 0.
The Simplex Method of Linear Programming Tutorial Outline CONVERTING THE CONSTRAINTS TO EQUATIONS SETTING UP THE FIRST SIMPLEX TABLEAU SIMPLEX SOLUTION PROCEDURES SUMMARY OF SIMPLEX. SOLUTION MIX X 1 X 2 S 1 S 2 QUANTITY.
M–M c. B Basic variables. B x. 1 x. 2 x. 3 x. A2. A3 Solution values b (= XB) –4 x. M A2 0 2/3 1/3 - 1. M A3. 05/3. 1/3. 0- 1.
M/3 + 2/3 - 2. M/3 - 4/3 MM0. Table 3 cj - 4 - 2 0 0. M c. B Basic variables. B x. 1 x. 2 x. 3 x. A2 Solution values b (= XB) –4 x.
M A2 0 0 1/5 - 1. M/5 + 6/5 M- 2. M/5 + 2/5. Final Optimal Table: Big M Simplex Method cj - 4 - 2 0 0. B Basic variables.
B x. 1 x. 2 x. 3 x. Solution values b (= XB) –4 x. The optimal solution isx. X 3 - 2 X 1. 8 = - 4.