# ORL Lab 4 Solved

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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 toÂ Â Â Â  X1 + 4X2 + 2X3 â‰¥ 5Â  Â Â Â Â Â Â Â Â Â Â  Â Â Â Â Â Â Â Â Â Â Â  3X1 + X2 + 2X3 â‰¥ 4

and Â Â Â  X1, X2, X3 â‰¥ 0

1. MIN Z = 4X1 + 2X2

Subject to Â Â Â  3X1 + X2 â‰¥ 27

X1 + X2 â‰¥ 21Â  Â Â Â Â Â Â Â Â Â Â  Â Â Â Â Â Â Â Â Â Â Â  X1 + 2X2 â‰¥ 30Â  Â Â Â Â Â Â Â  Â Â Â Â Â Â Â Â Â Â Â  and Â Â Â  X1, X2 â‰¥ 0

1. MAX Z = – 2X1 – X2 Subject toÂ  3X1 + X2 = 3

andÂ  X1, X2 â‰¥ 0

1. MAX Z = 3X1 – X2 Subject toÂ  2X1 + X2 â‰¥ 2

andÂ  X1, X2 â‰¥ 0

1. MAX Z = X1 + 2X2 + 3X3 – X4

Subject to Â Â Â  X1 + 2X2 + 3X3 = 15Â  Â Â Â Â Â Â Â Â  Â Â Â Â Â Â Â Â Â Â Â  2X1 + X2 + 5X3 = 20

X1 + 2X3 + X3 + X4 = 10

And X1, X2, X3, X4 â‰¥ 0

1. MAX Z = – 2X1 + X2 + 3X3

Subject to Â Â Â  X1 – 2X2 + 3X3 = 2Â  Â Â Â Â Â Â Â Â Â Â Â  3X1 + 2X2 + 4X3 = 1

And X1, X2, X3 â‰¥ 0

• Lab4-r5b12e.zip