Given the Technology Matrix A, and an External Demand Vector $A = \left[ \begin{array} { l l } 0.4 & 0.3 \\0.1 & 0.2\end{array} \right]$

Multiple Choice

Given the technology matrix A, and an external demand vector D, find the production vector X.
$A = \left[ \begin{array} { l l } 0.4 & 0.3 \\0.1 & 0.2\end{array} \right]$ , $D = \left[ \begin{array} { l } 30,000 \\25,000\end{array} \right]$

A) $X = \left[ \begin{array} { l } 40,000 \\70,000\end{array} \right]$
B) $X = \left[ \begin{array} { l } 70,000 \\40,000\end{array} \right]$
C) $X = \left[ \begin{array} { l } 64,000 \\40,000\end{array} \right]$
D) $X = \left[ \begin{array} { l } 70,000 \\64,000\end{array} \right]$
E) $X = \left[ \begin{array} { l } 40,000 \\64,000\end{array} \right]$