Finite Mathematics

In an economic system: each of three industries depends on the others for raw materials. To make $1 worth ofprocessed wood requires 25;: worth of wood. 15:: steel. and 5c: coal. To make $1 worth of steel requires no wood. 25 steel. and 20:: coal. To make $1 worth of coal requires 59: worth of wood. 1093 steel. and 5;: coal. Complete parts (a) through {d} below. (a) Give the input-output matrix for this economy. in terms ofdollars. Wood Steel Coal Wood lI lI Steel = A -l b] Determine the matrix {I A]I Im" =: Type an integer or decimal for each matn'): element. Do not round until the nal answer. Then round to two decimal places as needed.) c} What level of output should each sector produce to meet a consumer demand for S4 worth of wood. $2 of steel. and 83 of coal?I The processed wood industry is required to produce 31:. the steel industry is required to produce 8:. and the coal industry is equired to produce 3:. Round to the nearest cent as needed.) d] How much of the output of each sector is used to meet internal consumption? To meet internal consumption. the wood industry produces $|:|. the steel industry produces $|:|, and the coal industry