As part of a larger problem, you are trying to determine whether or not to open a plant with a capacity of 10,000 units (using binary variable Y).You also define X as the number of units (if any)produced at that plant.How will you ensure that Y will equal 1 if the plant is open?
A)Y ≥ X
B)Y ≤ X
C)X = 10000Y
D)X ≤ 10000Y

Question

Quizplus · Accepted Answer

D) X ≤ 10000Y ensures that if the plant is open (Y=1), up to 10,000 units can be produced (X can be anywhere from 0 to 10,000). If the plant is closed (Y=0), no units can be produced (X=0). This constraint correctly links the binary decision of opening a plant with the continuous decision of how many units to produce.

As Part of a Larger Problem, You Are Trying to Determine