Question: Consider the following Problem.

Min \(z=-3 x_{1}+x_{2}\)

Subject to

\(x_{1}-2 x_{2} \geq 2\)

\(-x_{1}+x_{2} \geq 3\)

and \(x_{1}, x_{2} \geq 0\)

Use the given LP formulation and reformulate in standard form to solve using Simplex Method. Using the Big M method, solve the above LP step by step. If you found solution state the optimal solution, then state reason. If you found optimal solution then also state is this is the only solution, or more than one solution available, justify. If you find that the problem has no optimal solution, then state reason why you conclude that there is no optimal solution.

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Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document