Suppose a primitive economy consists of two industries, farm products and farm machinery. Suppose that to make one unit of products 0.6 units of products and 0.2 units of machinery are required as inputs. Similarly, to make one unit of machinery 0.2 units of products and 0.4 units of machinery are required as inputs. If surpluses of 81 units of farm products and 5 units of farm machinery are desired, find the gross production of each industry.

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