The Total Amount of Cheese, in Billions of Pounds, Produced

Multiple Choice

The total amount of cheese, in billions of pounds, produced in the western and north central states in 1999 and 2000 was as follows. $$\begin{array} { | l | l | l | } \hline & \mathbf { 1 9 9 9 } & \mathbf { 2 0 0 0 } \\\hline \text { Western States } & 3.0 & 3.0 \\\hline \text { North Central States } & 3.9 & 4.1 \\\hline\end{array}$$ Thinking of this table as a (labeled) $2 \times 2$ matrix P, compute the matrix product $\left[ \begin{array} { l l } - 1 & 1\end{array} \right] \cdot P$ .

A) $\left[ \begin{array} { l l } 0.9 & 1.1\end{array} \right]$
B) $\left[ \begin{array} { l l } 1.0 & 1.2\end{array} \right]$
C) $\left[ \begin{array} { l l } 0.9 & 1.2\end{array} \right]$
D) $\left[ \begin{array} { l l } 0.4 & 1.4\end{array} \right]$
E) $\left[ \begin{array} { l l } 1.4 & 1.0\end{array} \right]$