LAB QUESTIONS ON SIMPLEX BIG-M METHOD:
Write code to solve the following LPP by big M method. Print the input and solutions and optimized value. Submit your code file and output file.
1. MIN Z = 2X1 + 9X2 + X3
Subject to X1 + 4X2 + 2X3 ≥ 5 3X1 + X2 + 2X3 ≥ 4
and X1, X2, X3 ≥ 0
2. MIN Z = 4X1 + 2X2
Subject to 3X1 + X2 ≥ 27
X1 + X2 ≥ 21 X1 + 2X2 ≥ 30 and X1, X2 ≥ 0
3. MAX Z = - 2X1 - X2 Subject to 3X1 + X2 = 3
and X1, X2 ≥ 0
4. MAX Z = 3X1 - X2 Subject to 2X1 + X2 ≥ 2
and X1, X2 ≥ 0
5. MAX Z = X1 + 2X2 + 3X3 - X4
Subject to X1 + 2X2 + 3X3 = 15 2X1 + X2 + 5X3 = 20
X1 + 2X3 + X3 + X4 = 10
And X1, X2, X3, X4 ≥ 0
6. MAX Z = - 2X1 + X2 + 3X3
Subject to X1 - 2X2 + 3X3 = 2 3X1 + 2X2 + 4X3 = 1
And X1, X2, X3 ≥ 0
