A Company Is Developing Its Weekly Production Plan $\quad$ $\quad$

question 21

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. $\quad$ $\quad$ $\quad$ $\quad$$\text { Hours required by }$
$\begin{array}{lccc}\text { Operation } & \text { A } & \text { B } & \text { Hours } \\\hline \text { Cutting } & 3 & 4 & 48 \\\text { Welding } & 2 & 1 & 36\end{array}$
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 \(\le\)16Y₁
• B) X₁ -Y₁ = 0
• C) X₁- 18Y₁ > 0
• D) = if(X₁ > 0, Y₁ = 1, Y₁ = 0)

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