Suppose a primitive economy consists of three industries: the agricultural industry, themanufacturing industry, and the fuels industry. The corresponding technology matrix is given by5.(0.6 0.10.2AgriculturalA =0.20.40.2 Manufacturing .\0.10.30.5,FuelsUsing Gaussian elimination, find the gross production of each industry if a surplus of 60 units ofagricultural products, 50 units of manufactured goods, and 40 units of fuels is desired.

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Suppose a primitive economy consists of three industries: the agricultural industry, the manufacturing industry, and the fuels industry. The corresponding technology matrix is given by Agricultural 0.4 0.2 ) Manufacturing . (0.6 0.1 0.2) A = ( 0.2 \0.1 0.3 0.5/ Fuels Using Gaussian elimination, find the gross production of each industry if a surplus of 60 units of agricultural products, 50 units of manufactured goods, and 40 units of fuels is desired.