ORL Lab 4 Solved

Description

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