Four Sectors of Some Economy Are (1) Sector 1, (2)

Four sectors of some economy are (1) Sector 1, (2) Sector 2, (3) Sector 3, and (4) Sector 4. The input-output table involving these four sectors was as follows (all figures are in millions of dollars) $\begin{array}{|r|c|c|c|c|}\hline \text { To } & \mathbf{1} & \mathbf{2} & \mathbf{3} & \mathbf{4} \\\hline \text{from }\mathbf{ 1} & 11,534 & 8 & 100 & 868 \\\hline \mathbf{2} & 23,307 & 4,159 & 0 & 4,931 \\\hline \mathbf{3} & 0 & 0 & 403 & 66 \\\hline \mathbf{4} & 5,281 & 10,934 & 3,285 & 223 \\\hline \text { Total Output } & 99,840 & 116,189 & 13,786 & 45,799 \\\hline\end{array}$ Determine how these four sectors would react to an increase in demand for Sector 1 production of $1,000 million.

A) $\left[ \begin{array} { c } 1,407.64 \\252.13 \\0.14 \\47.69\end{array} \right]$
B) $\left[ \begin{array} { c } 1,132.50 \\283.91 \\0.13 \\87.08\end{array} \right]$
C) $\left[ \begin{array} { c } 1,132.53 \\254.07 \\0.16 \\47.69\end{array} \right]$
D) $\left[ \begin{array} { c } 1,238.23 \\299.83 \\0.10 \\139.60\end{array} \right]$
E) $\left[ \begin{array} { c } 1,270.07 \\315.75 \\0.10 \\100.21\end{array} \right]$