A Company Is Developing Its Weekly Production Plan The Decision Variables Are Defined as
X_i = the Amount

question 78

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.
Hours required by
$$\begin{array} { r c c c } \text { Operation } & \text { A } & \text { B } & \text { Hours } \\\hline \text { Cutting } & 3 & 4 & 48 \\\text { Welding } & 2 & 1 & 36\end{array}$$
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
Using the approach discussed in the text,what is the appropriate value for M₁ in the linking constraint for product A?

• A)2
• B)3
• C)16
• D)12

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