A Company Is Developing Its Weekly Production Plan

Multiple Choice

A company is developing its weekly production plan. The company produces two products, A and B, which are processed in two departments. Setting up each batch of A requires $60 of labor while setting up a batch of B costs $80. Each unit of A generates a profit of $17 while a unit of B earns a profit of $21. The company can sell all the units it produces. The data for the problem are summarized below. The decision variables are defined as X_i = the amount of product i produced
Y_i = 1 if X_i > 0 and 0 if X_i = 0
Which of the following constraints creates the link between setting up to produce A's and making some A's for this problem?

A) X₁ ≤ 16Y₁
B) X₁ − Y₁ = 0
C) X₁ − 18Y₁ > 0
D) = if(X₁ > 0, Y₁ = 1, Y₁ = 0)