(Solved): An industrial system has two industries with the following input requirements. (a) To produce \( \ ...

An industrial system has two industries with the following input requirements. (a) To produce \( \$ 1.00 \) worth of output, Industry A requires \( \$ 0.10 \) of its own product and \( \$ 0.50 \) of Industry B's product. (b) To produce \( \$ 1.00 \) worth of output, Industry B requires \( \$ 0.40 \) of its own product and \( \$ 0.20 \) of Industry A's product. Find \( D \), the input-output matrix for this system. Solve for the output matrix \( X \) in the equation \( X=D X+E \), where \( E \) is the external demand matrix \( E=\left[\begin{array}{l}10,000 \\ 20,000\end{array}\right] \). (Round to the nearest whole number.) \[ X=\left[\begin{array}{ll} 22600 & \times \\ & \times \end{array}\right] \mathrm{B} \]