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 0.5 0.2 0.2 Agricultural A = (0.1 0.6 0.2) Manufacturing . 0.2 0.1 0.4 Fuels Using Gaussian elimination, nd the gross production of each industry if a surplus of 70 units of agricultural products, 80 units of manufactured goods, and 50 units of fuels is desired. - End