Chapter 8.2, Problem 90E

How do you see it? A corporation has three factories that manufacture acoustic guitars and electric guitars. The production level are represented by $A$.

$\begin{array}{l}\stackrel{\text{Factory}}{\stackrel{︷}{\text{A}\text{B}\text{C}}}\\ A=\left[\begin{array}{ccc}70& 50& 25\\ 35& 100& 70\end{array}\right]\begin{array}{c}\text{Acoustic}\\ \text{Electric}\end{array}\}\text{Guitar}\text{type}\end{array}$

(a). Interpret the value of $a_{22}$.

(b). How could you find the production level when production increased by 20%?

(c). Each acoustic guitar sells for $\$80$ and each electric guitar sells for $\$120$. How could you use matrices to find the total sales value of the guitars produced at each factory?