Chapter 7.2, Problem 71E

Labor and Wages: A company has two factories that manufacture three sizes of boats. The numbers of hours of labor required to manufacture each size are represented by $S.$

$\begin{array}{c}\stackrel{\text{Department}}{\stackrel{︷}{\begin{array}{ccc}\text{Cutting}& \text{Assembly}& \text{Packaging}\end{array}}}\\ S=\left[\begin{array}{ccc}1.0& 0.5& 0.2\\ 1.6& 1.0& 0.2\\ 2.5& 2.0& 1.4\end{array}\right]\left.\begin{array}{c}\text{Small}\\ \text{Medium}\\ \text{Large}\end{array}\right\}\text{Boat size}\end{array}$

The wages of the workers are represented by $T.$

$\begin{array}{c}\stackrel{\text{Factory}}{\stackrel{︷}{\begin{array}{cc}\text{A }& \text{B}\end{array}}}\\ T=\left[\begin{array}{cc}\text{\$15}& \text{\$13}\\ \text{\$12}& \text{\$11}\\ \text{\$11}& \text{\$10}\end{array}\right]\left.\begin{array}{c}\text{Cutting}\\ \text{Assembly}\\ \text{Packaging}\end{array}\right\}\text{Department}\end{array}$

Compute $ST$ and interpret the result.