A Company Is Planning Next Month's Production

Multiple Choice

A company is planning next month's production. It has to pay a setup cost to produce a batch of X₄'s so if it does produce a batch it wants to produce at least 100 units. Which of the following pairs of constraints show the relationship(s) between the setup variable Y₄ and the production quantity variable X₄?

A) X₄ ≤ M₄Y₄, X₄ ≥ 100
B) X₄ ≤ M₄Y₄, X₄ = 100 Y₄
C) X₄ ≤ M₄Y₄, X₄ ≥ 100 Y₄
D) X₄ ≤ M₄Y₄, X₄ ≤ 100 Y₄