The constraint for a given resource is given by the following equation:
2X₁ + 3X₂ ≥ 20
If X₁ = 5 and X₂ = 4 how many units of this resource are unused?
A)20
B)2
C)22
D)0
E)9

Question

Quizplus · Accepted Answer

Substituting X₁ = 5 and X₂ = 4 into the constraint equation gives 2(5) + 3(4) = 10 + 12 = 22. Since the constraint requires at least 20 units, and 22 units are used, there are 22 - 20 = 2 units of the resource unused.

The Constraint for a Given Resource Is Given by the Following