  To implement the previously formulated principles of sustainable economic
development, all non-negative solutions of the linear system of equations and
inequalities, which are satisfied by the vector of real consumption, are
completely described. It is established that the vector of real consumption
with the minimum level of excess supply is determined by the solution of some
quadratic programming problem. The necessary and sufficient conditions are
established under which the economic system, described by the "input-output"
production model, functions in the mode of sustainable development. A complete
description of the equilibrium states for which markets are partially cleared
in the economy model of production "input-output" is given, on the basis that
all solutions of system of linear equations and inequalities are completely
described. The existence of a family of taxation vectors in the "input-output"
model of production, under which the economic system is able to function in the
mode of sustainable development, is proved. Restrictions were found for the
vector of taxation in the economic system, under which the economic system is
able to function in the mode of sustainable development. The axioms of the
aggregated description of the economy is proposed.
