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:

Race Conflict

Tensions and disputes arising from differences in racial or ethnic identities, often fueled by systemic inequalities, prejudice, and discrimination.

Ethnic Identity

A person's sense of belonging to a particular ethnic group, including aspects of culture, tradition, language, and heritage.

Contested Term

A term or concept that is subject to disagreement or debate regarding its definition, interpretation, or application.

Egalitarian Society

A societal structure where equality is emphasized, and individuals have equal rights and opportunities regardless of their background or characteristics.