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) $X = \left[ \begin{array} { l }
40,000 \
64,000
\end{array} \right]$

Question

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)   $X = \left[ \begin{array} { l } 
40,000 \
64,000
\end{array} \right]$

Quizplus · Accepted Answer

The Answer is B

Given the Technology Matrix A, and an External Demand Vector A=[0.40.30.10.2]A = \left[ \begin{array} { l l } 0.4 & 0.3 \\0.1 & 0.2\end{array} \right]A=[0.40.1​0.30.2​]

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