What is the purpose of adding a slack variable to a constraint such as 2x + 3y ≤ 12?
Correct answer: A. To convert the inequality into an equality
- A. To convert the inequality into an equality
- B. To change a maximization problem into minimization
- C. To remove the non-negativity requirement
- D. To make the objective function nonlinear
Explanation
A non-negative slack variable s converts the constraint into 2x + 3y + s = 12. The slack represents unused capacity, not a change in the objective or in the variable sign restrictions.
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