An industrial system has two industries, coal and steel. To produce 1.00 worth of coal, the coal industry uses0.30 worth of coal and 0.40 worth of steel. To produce1.00 worth of steel, the steel industry uses 0.40 worth of coal and0.20 worth of steel. (a) Set up the input–output matrix for this system. (b) Find the output of each industry that will provide for 75,000 worth of coal and45,000 worth of steel.