Consider the formulation below. The standard form of the second constraint is: A) 5 X₁ + 5 X₂ = 20 B) 6 X₁ + 2 X₂ = 18 C) 6 X₁ + 2 X₂ + S₂= 18 D) 6 X₁ + 2 X₂ - S₂= 18

Question

Quizplus · Accepted Answer

Starting with the original formulation, the second constraint is given as: $$2e_{12}+6e_{11}\geq 18$$ Using the subscript notation in the answer choices, we can see that $e_{11}$ corresponds to $X₁$ and $e_{12}$ corresponds to $X₂$. Based on this correspondence, we can see that only option C matches the constraint. The term $S_2\$ is a new variable introduced in option C that does not appear in the original constraint, but it is given a coefficient of 0, so it does not affect the constraint.

Consider the Formulation Below