Question: Z = 3x 1 + 2x 2 , Subject to 2x 1 + x 2 10 3x 1 - 2x 2 -6 x 1 +

Z = 3x₁ + 2x₂,

Subject to

2x₁ + x₂ 10

3x₁ - 2x₂ -6

x₁ + x₂ 6

x_1,x₂ 0

Construct the initial tableau for the Big M method and determine whether the initial basic feasible solution of the resulting artificial problem is optimal. If not, proceed to the optimal solution through the simplex iterations, and report the optimal solution to the original LP given above.

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