Mathematical modelling of optimal tax trajectory within the framework of Cobb-Douglas model

A mathematical model for calculating the optimal tax path for the effective functioning of companies is developed. The model is based on the principle of the distribution of fixed assets between consumption, investment and taxes. The governing principle of distribution is the maximization of output, which is a key criterion for the desired tax path. As a result of numerical modelling, an approach is proposed for formulating the optimal tax rate, which allows, on the one hand, to increase tax collection, and on the other, to ensure the continuous development of companies. Since the model is obtained on the basis of the fundamental principles of economics and the physics of evolutionary processes, it is expected to expand to foreign practices.