Chapter 2.3, Problem 78E

(a)

To determine

The matrix T that represents the time required to assemble and pack the DVD players and TV sets, if a company takes $3\text{ hours}$ to assemble, $\frac{1}{2}\text{ hour}$ to pack a DVD player, $\text{5 hours}$ to assemble and $\text{1 hour}$ to pack a TV set.

(b)

To determine

To calculate: The matrix S whose multiplication with matrix, $\begin{array}{l}\begin{array}{cc}\text{ DVD player}& \text{TV set}\end{array}\\ T=\left[\begin{array}{cc}3& 5\\ \frac{1}{2}& 1\end{array}\right]\begin{array}{c}\text{assemble}\\ \text{pack}\end{array}\end{array}$ gives the total assembly time and packing time required to complete the order of $30$ DVD players and $20$ TV sets.