Question: Determine the optimal solution of the linear programming problem P 2 using the simplex method. Mention if the problem is limited or not and if

Determine the optimal solution of the linear programming problem P₂ using the simplex method. Mention if the problem is limited or not and if it is, answer if you have a single solution or multiple solutions.

P₂: max 2x₁+ x₂ + 2x₃

subject to x₁ + x₂ + 2x₃ 2

x₁ + 2x₂ + x₃ 2

2x₁ + x₂ + x₃ 2

x₁, x₂, x₃ 0

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