Determine the Production Vector X That Will Satisfy Demand in an Economy

Multiple Choice

Determine the production vector x that will satisfy demand in an economy with the given consumption matrix C and
final demand vector d. Round production levels to the nearest whole number.
- $$\mathrm { C } = \left[ \begin{array} { l l } .4 & .3 \\.1 & .6\end{array} \right] , \mathrm { d } = \left[ \begin{array} { l } 52 \\74\end{array} \right]$$

A) $x = \left[ \begin{array} { r } 43 \\ 4 \end{array} \right]$
B) $x = \left[ \begin{array} { r } 4 \\ 24 \end{array} \right]$
C) $x = \left[ \begin{array} { l } 205 \\ 236 \end{array} \right]$
D) $\mathbf { x } = \left[ \begin{array} { l } 43 \\ 50 \end{array} \right]$