The constraint 5X₁ + 6X₂ ≥ 30, when converted to an = constraint for use in the simplex algorithm, will be 5 X₁ + 6 X₂ - S = 30.

Question

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To convert a ≥ constraint to an equality for the simplex algorithm, a slack variable is subtracted, but the correct notation should include a specific name for the slack variable (e.g., S1, S2, etc.), not just "S", and it should be clear that this slack variable represents the amount by which the original inequality is exceeded. The correct form would be something like "5X₁ + 6X₂ - S1 = 30", where S1 is a slack variable added to balance the equation.

The Constraint 5X1 + 6X2 ≥ 30, When Converted to an =

The Constraint 5X₁ + 6X₂ ≥ 30, When Converted to an =