The article analyzed and showed that the human economic and non-economic behaviors have some value contents concerned about the two aspects of input and output, and it revealed that both of them exist duality objectively and the significance of theoretical innovation. Based on the equilibrium principle of the profit maximization to the manufacturer, this paper put forward the binary equilibrium analytic theory and method of single decision-making input-output. It listed some examples, such as the decision of the products, qualities, investments and movement time. And it discussed the principle of the regular single decision-making input-output equilibrium analysis model and the application. It also discussed the sufficient and necessary conditions and wide applicability of the analytic theory and method of the single decision-making input-output binary equilibrium.