SOLVING THE PROBLEM OF PRICE OPTIMIZATION USING INVERSE CALCULATIONS
The relevance of the study is due to the high impact of price policy on the efficiency of the enterprise. The article presents a description of the method based on inverse calculations to solve the problem of price optimization. The method involves solving the problem of unconditional optimization and correction of the obtained values of the arguments taking into account the restriction. This minimizes the sum of the squares of the argument increments, taking into account the effect of the arguments on the change of the objective function. The method is more straightforward in computer implementation, in comparison with the classical methods of nonlinear optimization, optimization problem the price is reduced to unconstrained optimization and the solution of the system of equations. The article deals with the problem of formation of prices for products while maximizing profits from the sale of products and limited supply. This assumes a linear dependence of demand on price. A comparison of the obtained result with the solution of the problem in the Mathcad program using standard functions is presented. The materials of the article are of practical value for organizations in the planning of pricing policy, as well as for specialists engaged in the development of models for decision-making in the field of Economics. The presented method can be used in decision support systems.
Keywords: price optimization, inverse calculation, quadratic programming, demand forecasting.