An economy consists of coal, electric, and steel industries. For each $1.00 of output, the coal industry needs $0.03 worth of coal, $0.20 worth of electricity, and $0.20 worth of steel. The electric industry needs 0.04 worth of coal, $0.02 worth of electricity and $0.04 worth of steel. The steel industry needs $0.30 worth of coal and $0.03 worth of steel. The sales demand is estimated to be $2 billion for coal, $2 billion for electricity, and $2 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?

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