One constraint in an LP problem is: 12X + 7Y 4,000.If the optimal solution is X = 100 and Y = 500,this resource has
A)slack variable of 700.
B)surplus variable of 700.
C)output coefficient of 700.
D)none of the above.

Question

One constraint in an LP problem is: 12X + 7Y > 4,000.If the optimal solution is X = 100 and Y = 500,this resource has
A)slack variable of 700.
B)surplus variable of 700.
C)output coefficient of 700.
D)none of the above.

Quizplus · Accepted Answer

The constraint 12X + 7Y > 4,000 is an inequality indicating a surplus. Substituting X = 100 and Y = 500 gives 12(100) + 7(500) = 4100, which is 100 units more than 4000, indicating a surplus of 100.

One Constraint in an LP Problem Is: 12X + 7Y