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

question 77

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
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
• B)X₁ ? 18Y₁ > 0
• C)= ifX₁ > 0,Y₁ = 1,Y₁ = 0)

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Definitions:

CAM Plants

Plants using Crassulacean Acid Metabolism, a photosynthetic pathway that conserves water by opening stomata at night.

Calvin-Benson Cycle

A series of biochemical redox reactions taking place in the stroma of chloroplasts in photosynthetic organisms, crucial in fixing carbon from CO2 into organic compounds.

Autotrophs

Organisms that produce their own food from inorganic substances using light or chemical energy, with plants being the most common examples.

Environment

The surrounding conditions and factors that affect living organisms and ecosystems, including both natural and man-made elements.