Let A be the technology matrix, where Sector 1 is computer chips, and Sector 2 is silicon. $A = \left[ \begin{array} { c c }
0.06 & 0.001 \
0.5 & 0.002
\end{array} \right]$
How many units of computer chips are needed to produce one unit of silicon
How many units of silicon are needed to produce one unit of silicon
How many units of silicon are needed to produce one unit of computer chips

A) computer chips $\rightarrow$ silicon: $0.001$
silicon $\rightarrow$ silicon: $0.5$
silicon $\rightarrow$ computer chips: $0.002$

B) computer chips $\rightarrow$ silicon: $0.06$
silicon $\rightarrow$ silicon: $0.5$
silicon $\rightarrow$ computer chips: $0.002$

C) computer chips $\rightarrow$ silicon: $0.001$
silicon $\rightarrow$ silicon: $0.5$
silicon $\rightarrow$ computer chips: $0.5$

D) computer chips $\rightarrow$ silicon: $0.001$
silicon $\rightarrow$ silicon: $0.002$
silicon $\rightarrow$ computer chips: $0.5$

E) computer chips $\rightarrow$ silicon: $0.5$
silicon $\rightarrow$ silicon: $0.002$
silicon $\rightarrow$ computer chips: $0.001$

Question

Let A be the technology matrix, where Sector 1 is computer chips, and Sector 2 is silicon.   $A = \left[ \begin{array} { c c } 
0.06 & 0.001 \
0.5 & 0.002
\end{array} \right]$  
How many units of computer chips are needed to produce one unit of silicon 
How many units of silicon are needed to produce one unit of silicon 
How many units of silicon are needed to produce one unit of computer chips  
 
A)  computer chips $\rightarrow$ silicon: $0.001$
silicon $\rightarrow$ silicon: $0.5$
silicon $\rightarrow$ computer chips: $0.002$

B)   computer chips $\rightarrow$ silicon: $0.06$
silicon $\rightarrow$ silicon: $0.5$
silicon $\rightarrow$ computer chips: $0.002$

C)   computer chips $\rightarrow$ silicon: $0.001$
silicon $\rightarrow$ silicon: $0.5$
silicon $\rightarrow$ computer chips: $0.5$

D)   computer chips $\rightarrow$ silicon: $0.001$
silicon $\rightarrow$ silicon: $0.002$
silicon $\rightarrow$ computer chips: $0.5$

E)   computer chips $\rightarrow$ silicon: $0.5$
silicon $\rightarrow$ silicon: $0.002$
silicon $\rightarrow$ computer chips: $0.001$

Quizplus · Accepted Answer

The matrix A represents the input coefficients, where each element $a_{ij}$ indicates the amount of output from sector i needed to produce one unit of output in sector j. Thus, to produce one unit of silicon (Sector 2), 0.001 units of computer chips (Sector 1) are needed (from the first row, second column of A). To produce one unit of silicon from silicon itself, 0.002 units are needed (from the second row, second column of A). To produce one unit of computer chips, 0.5 units of silicon are needed (from the second row, first column of A).

Let a Be the Technology Matrix, Where Sector 1 Is A=[0.060.0010.50.002]A = \left[ \begin{array} { c c } 0.06 & 0.001 \\0.5 & 0.002\end{array} \right]A=[0.060.5​0.0010.002​]

Let a Be the Technology Matrix, Where Sector 1 Is $A = \left[ \begin{array} { c c } 0.06 & 0.001 \\0.5 & 0.002\end{array} \right]$