Optimizing the Capital Investment Distribution Based on a Dynamic Mathematical Model

The article considers extremum economic and mathematical dynamic optimization problems of distributing investments between the economy sectors of the country. Leontief’s “input–output” and Solow’s models were used to construct extremum problems where the presented gross domestic product is maximized under the limited investment volume conditions. The constructed mathematical programming problem is proved to belong to the class of smooth and convex extremum problems. By using the conditional gradient method, the optimal distribution of investments for the Ukrainian economy was calculated.