How should the constraint,5X - 2Y ≥ 6,be converted into simplex tableau form?
A)5X - 2Y + S + A = 6
B)5X - 2Y - S + A = 6
C)5X - 2Y - S = 6
D)5X - 2Y + A = 6
E)5X - 2Y + S − A = 6

Question

Quizplus · Accepted Answer

To convert the inequality into a simplex tableau form, we need to add slack variable(s) to the left-hand side and write the inequality as an equation. In this case, we need to add a non-negative slack variable, so we choose S. The equation becomes 5X - 2Y - S = 6. The A option adds an extra variable that is not necessary, and the E option subtracts an arbitrary negative variable, which does not make sense in this context. The C and D options do not add slack variable(s) to the left-hand side. Therefore, the best choice is B.

How Should the Constraint,5X - 2Y ≥ 6,be Converted into Simplex