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.
- $$\mathrm { C } = \left[ \begin{array} { l l l } .2 & .1 & .1 \\.3 & .2 & .3 \\.4 & .1 & .3\end{array} \right] , \mathrm { d } = \left[ \begin{array} { l } 213 \\323 \\298\end{array} \right]$$

A) $\mathbf { x } = \left[ \begin{array} { r } 728 \\ 978 \\ - 302 \end{array} \right]$
B) $\mathbf { x } = \left[ \begin{array} { r } 108 \\ 105 \\ 91 \end{array} \right]$
C) $\mathbf { x } = \left[ \begin{array} { l } 105 \\ 218 \\ 207 \end{array} \right]$
D) $\mathbf { x } = \left[ \begin{array} { l } 482 \\ 895 \\ 829 \end{array} \right]$