Chapter 8.2, Problem 65E

To determine

To find:Find the production levels when production increases by $10\%$ .

Answer to Problem 65E

The new production levels are $\left[\begin{array}{cccc}110& 99& 77& 33\\ 44& 22& 66& 66\end{array}\right]$ .

Explanation of Solution

Given information:

A corporation has four factories that manufacture sport utility vehicles and pickup trucks. The production levels are represented by A.

  

Calculations:

Since the production increases by $10\%$ , the production levels are computed by $(1+10\%)A$ , that is scalar multiplication of $1.1$ times $A$ .

  $\begin{array}{l}1.1A=1.1\left[\begin{array}{cccc}100& 90& 70& 30\\ 40& 20& 60& 60\end{array}\right]\\ =\left[\begin{array}{cccc}1.1\times 100& 1.1\times 90& 1.1\times 70& 1.1\times 30\\ 1.1\times 40& 1.1\times 20& 1.1\times 60& 1.1\times 60\end{array}\right]\\ =\left[\begin{array}{cccc}110& 99& 77& 33\\ 44& 22& 66& 66\end{array}\right]\end{array}$