In this paper a modification of the dynamic input-output model for a multicommodity economy is considered. This model allows to simulate the mutual influence of the production sphere and the sphere of consumption. The main goal of the research is to develop a theoretical basis for preparation of management and administrative decisions in the planning and implementation of investment programs. It is assumed that the source of the investment can be either the net operating surplus of the economy sectors and external financial resources. In this case, the mathematical model of the input-output model is a controlled system of linear differential equations. To solve this problem we use the algorithms of mathematical control theory. Since in practice the investment process is always discrete in time, then for its quantitative modeling is necessary to solve the construction problem of an impulse program control. In this work the algorithm for constructing the impulse program control is proposed. The results of research are tested on data of Federal State Statistics Service.