Given the Technology Matrix A, and an External Demand Vector

Multiple Choice

Given the technology matrix A, and an external demand vector D, find the production vector X. $A = \left[ \begin{array} { c c c } 0.25 & 0.25 & 0.25 \\0.25 & 0.7 & 0.25 \\0.25 & 0.25 & 0.25\end{array} \right] , D = \left[ \begin{array} { c } 9,000 \\18,000 \\9,000\end{array} \right]$

A) $X = \left[ \begin{array} { l } 540,000 \\288,000 \\288,000\end{array} \right]$
B) $X = \left[ \begin{array} { l } 288,000 \\288,000 \\540,000\end{array} \right]$
C) $X = \left[ \begin{array} { l } 345,600 \\432,000 \\345,000\end{array} \right]$
D) $X = \left[ \begin{array} { l } 288,000 \\540,000 \\288,000\end{array} \right]$
E) $X = \left[ \begin{array} { l } 345,600 \\432,000 \\345,600\end{array} \right]$