MATHEMATICAL ASPECT OF SOLUTIONS FOR SELECTED LINEAR AND QUADRATIC STATIC EQUILIBRIUM MODELS

Abstract

The first aim of the article was to find general formulas for determining the price and quantity equilibrium for linear static equilibrium models and some square static equilibrium models. The second aim of this article was the use of Waring's hypothesis in relation to the quadratic of static equilibrium models.It served finding equilibrium prices that are natural numbers. Subject of study were static linear and quadratic equilibrium models such demand-supply. To explore these models were used methods of linear algebra, mathematical analysis and additive number theory.  To carry out the study used a package of Mathematica 4.0.