Answer
Therefore the new production levels are:
$\begin{bmatrix}
110 & 99 & 77 & 33\\
44 & 22 & 66 & 66\\
\end{bmatrix}$
Work Step by Step
Multiply the matrix by a scalar of 1.1 to represent the 10% increase.
$\begin{bmatrix}
100(1.1) & 90(1.1) & 70(1.1) & 30(1.1)\\
40(1.1) & 20(1.1) & 60(1.1) & 60(1.1)\\
\end{bmatrix}$ = $\begin{bmatrix}
110 & 99 & 77 & 33\\
44 & 22 & 66 & 66\\
\end{bmatrix}$
Therefore, the new production levels are:
$\begin{bmatrix}
110 & 99 & 77 & 33\\
44 & 22 & 66 & 66\\
\end{bmatrix}$