Chapter 2.3, Problem 80E

(a)

To determine

The matrix T that represents the time required for manicures and pedicures for preparation, lacquering and drying.

(b)

To determine

The matrix S whose multiplication with matrix $\begin{array}{l}\begin{array}{ccc}\text{ Preparation}& \text{Lacquering}& \text{Drying}\end{array}\\ T=\left[\begin{array}{ccc}20& 5& 15\\ 30& 5& 20\end{array}\right]\begin{array}{c}\text{Manicure}\\ \text{Pedicure}\end{array}\end{array}$ gives the total time required for preparation, lacquering and drying to complete the manicure of $15$ girls and pedicures of $9$ girls in a wedding party. $$

(c)

To determine

To calculate: The total time required for drying of the whole order of $15$ manicure and $9$ pedicures in the wedding.