What is the soft constraint form of the following hard constraint? 3X₁ + 2 X₂ ≤ 10 A) 3X₁ + 2 X₂ + d₁− − d₁⁺ = 10 B) 3X₁ + 2 X₂ + d₁− + d₁⁺ = 10 C) 3X₁ + 2 X₂ − d₁− − d₁⁺ ≤ 10 D) 3X₁ + 2 X₂ + d₁− − d₁⁺ ≥ 10

Question

Quizplus · Accepted Answer

The soft constraint form introduces deviation variables $d_1^-$ and $d_1^+$ to allow flexibility. The equation becomes $3X_1 + 2X_2 + d_1^- - d_1^+ = 10$, allowing the constraint to be violated or underachieved by the deviation variables.

What Is the Soft Constraint Form of the Following Hard