An economy consists of coal, electric. and steel industries. For each $1.00 of output, the coal industry needs $004 worth of coal. $0.20 worth of electricity: and $0.20 worth of steel; the electric industry needs $0.04 worth of coal. $004 worth of electricity: and $0.01 worth of steel; and the steel industry needs $0.30 worth of coal and $0.02 worth of steel. The sales demand is estimated to be $3 billion for coal, $4 billion for electricity. and $4 billion for steel. Suppose that the demand for electricity triples and the demand for coal doubles. whereas the demand for steel increases by only 50%. At what levels should the various industries produce in order to satisfy the new demand? Set up the inputoutput matrix. Coal Coal 0.04 Electric 0.20 Steel 0.20 Electric 0.04 0.04 0.01 E) Steel 0.30 0.00 0.02 The coal industry should produce $|:| billion the electric industry should produce 95D billion, and the steel industry should produce 93D billion. (Round the nal answer to the nearest billion as needed. Round the elements of the inverse matrix to two decimal places as needed.)