A Manager Must Decide on the Mix of Products to Produce

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.
$$\begin{array} { | l | r | r | r | r | r | } \hline & \mathrm { A } & \mathrm { B } & & \text { RHS } & \text { Dual } \\\hline \text { Maximize } & 1.5 & 1.5 & & & \\\hline \text { Molding } & 3 & 2 . & \square & 600 & 0.375 \\\hline \text { Painting } & 2 & 4 &\square & 600 & 0.1875 \\\hline \text { Packing } & 1 . & 3 & \square& 420 & 0 . \\\hline \text { Solution --- } & 150 & 75 & & 337.5 & \\\hline\end{array}$$ 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.