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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Definitions:

Quiet Environment

A setting or atmosphere where noise and disturbances are minimally present, often conducive to concentration or relaxation.

Prefrontal Cortex

The region at the front of the brain associated with decision making, personality expression, complex planning, and moderating social behaviour.

Frontal Lobe

The frontal lobe is a region of the brain responsible for executive functions, such as decision-making, problem-solving, control of purposeful behaviors, consciousness, and emotions.

Hippocampus

A region of the brain crucial for memory and spatial navigation, located in the medial temporal lobe.