Given the Technology Matrix A, and an External Demand Vector $A = \left[ \begin{array} { c c c } 0.2 & 0.3 & 0 \\0 & 0.2 & 0.3 \\0 & 0 & 0.2\end{array} \right]$

Given the technology matrix A, and an external demand vector D, find the production vector X. Round your answer to one decimal places. $A = \left[ \begin{array} { c c c } 0.2 & 0.3 & 0 \\0 & 0.2 & 0.3 \\0 & 0 & 0.2\end{array} \right]$ , $D = \left[ \begin{array} { l } 2000 \\4800 \\3300\end{array} \right]$

A) $X = \left[ \begin{array} { c } 6,000.0 \\5,333.3 \\32,222.2\end{array} \right]$
B) $X = \left[ \begin{array} { c } 32,222.2 \\6,000.0 \\5,333.3\end{array} \right]$
C) $X = \left[ \begin{array} { c } 32,222.2 \\5,333.3 \\6,000.0\end{array} \right]$
D) $X = \left[ \begin{array} { c } 6,000.0 \\32,222.2 \\5,333.3\end{array} \right]$
E) $X = \left[ \begin{array} { l } 5201.2 \\8204.1 \\4714.3\end{array} \right]$