Suppose that a simple economy has three industries, service, manufacturing, and agriculture, and that matrix A is the technology matrix for this economy.

If surpluses of 24 units of service output, 62 units of manufactured goods, and 32 units of agricultural goods are desired, find the gross production of each industry?

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м 0.4 0.1 0,1] Service 0.2 0.5 0.2 Manufacturing A = 0.2 0.3 Agriculture 0.2 0.1