A Sheet Metal Company Has Developed the Following Six-Month Production

Essay

A sheet metal company has developed the following six-month production schedule (in thousands of square yards):
$$\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Week } & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \text { Metal } & 150 & 100 & 175 & 200 & 160 & 160 \\\hline\end{array}$$ In addition, their monthly labor and machine capacities (in hours) available, and the production standards (in hours per square yard) are:
$\begin{array}{|l|l|l|}\hline & \text { Labor } & \text { Machine } \\\hline \text { Capacity Available } & 16,000 & 20,000 \\\hline \text { Production Standard } & .10 & .18 \\\hline\end{array}$
a.What is the percentage utilization of the labor capacity in month 4?
b.What is the percentage utilization of the machine capacity in month 3?
c.In which weeks are the labor requirements over capacity?