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) : $$\begin{array} { | r | r | r | r | r | } \hline \text { To } &1 & 2 & 3 & 4 \\\hline \text { From } \mathbf { 1 } & 171 & 30.6 & 120.2 & 14.2 \\\hline \mathbf { 2 } & 0 & 190.1 & 55.7 & 12.6 \\\hline \mathbf { 3 } & 2.9 & 40.2 & 1,418.1 & 1,242 \\\hline \mathbf { 4 } & 0.1 & 7.2 & 40.3 & 326.4 \\\hline \text { Total Output } & 3,278.9 & 2,189 & 6,541.3 & 4,065.3 \\\hline\end{array}$$ How much additional production by the Sector 1 is necessary to accommodate a $1,000 increase in the demand for the products of Sector 4 Please round your answer to two decimal places.

A) $12.78 million
B) $12.38 million
C) $12.58 million
D) $12.28 million
E) $12.08 million