# Chapter 10 - 10.2 - Operations with Matrices - 10.2 Exercises - Page 726: 73

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: $\begin{bmatrix} 110 & 99 & 77 & 33\\ 44 & 22 & 66 & 66\\ \end{bmatrix}$

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