The initial tableau of a linear programming problem is given. Use the simplex method to solve the problem. x2 X3 6 6 5 2 -2 X₁ 1 3 -4 -1 S₁ 1 0 0 S2 0 1 0 Z 0 0 1 13 30 0 The maximum is when x₁ = ₁X₂ = ₁ x3 =₁ S₁ = , and s2 = (Type integers or simplified fractions.)

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