Question: Consider the following Linear Programming Problem: Max z = x1 + x2 Subject to: x1 + x2 + x3 1 x1 + 2x3 .5 x1

Consider the following Linear Programming Problem:

Max z = x1 + x2

Subject to: x1 + x2 + x3 1 x1 + 2x3 .5 x1 0, x2 0, x3 0

i Solve the LP using the Simplex Method.

ii Does this problem has Alternative Optimal Solution? If Yes, determine another extreme point that is optimal and if No, Why?

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