Abstract: In this paper, first set up the opened macro-output model and macro-resources consumption model, then apply the duality theory to prove the realization of macro-output maximum and resources consumption minimum at the same time, and promulgate that the government regulation variables are respectively the rate of product tax, the rate of capital interest, the rate of labor wage, exchange rate and tariff rate responding with the product market, capital market, labor-force market and international market, at last combine the micro model with the macro models through the K-T condition and give the optimum form of the combination of nation intervention and market regulation.

Key words: duality theory, nation intervention, market regulation, the optimum combination form