A Manager Must Decide on the Mix of Products to Produce

question 66

Essay

A manager must decide on the mix of products to produce for the coming week. Product A requires three minutes per unit for molding, two minutes per unit for painting, and one minute for packing. Product B requires two minutes per unit for molding, four minutes for painting, and three minutes per unit for packing. There will be 600 minutes available for molding, 600 minutes for painting, and 420 minutes for packing. Both products have contributions of $1.50 per unit. Answer the following questions; base your work on the solution panel provided.
$\begin{array}{|r|r|r|r|r|r|} \hline& \text { A } & \text { B } & &\text { RHS } & \text { Dual } \\\hline \text { Maximize } & 1.5 & 1.5 & \Leftarrow & & \\\hline \text { Molding } & 3. & 2 . & \Leftarrow & 600 & 0.375 \\\hline \text { Painting } & 2. & 4. & \Leftarrow & 600 & 0.1875 \\\hline \text { Packing } & 1. & 3 . & \Leftarrow & 420 & 0. \\\hline \text { Solution }--> & 150 & 75 & & 337.5 &\\\hline\end{array}$
a. What combination of A and B will maximize contribution?
b. What is the maximum possible contribution?
c. Are any resources not fully used up?
Explain.

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Definitions:

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A term coined by Émile Durkheim, referring to the set of shared beliefs, ideas, and moral attitudes that operate as a unifying force within society.

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A foundational French sociologist known for his seminal works on the study of social integration, religion, and the establishment of sociology as a distinct academic discipline.

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A concept that suggests the existence of a non-sectarian quasi-religious faith in the United States with sacred symbols drawn from national history, creating a cohesive social bond among Americans.