The purpose of this article is to derive an economic and mathematical model that allows, on the one hand, to determine the area of production based on the cost of production costs, on the other hand, to determine the volume of production and the volume of transported goods from the point of production (warehouse) to the consumer (customer). The difficulty is to comprehensively take into account all the problems described above when solving such a problem. If we solve this problem sequentially, that is, isolate the subtasks and solve them separately, and at the end go through all the subtasks to get a solution, then from a strictly mathematical proof it follows that the solution may not be optimal, which contradicts the purpose of this article. Methods and algorithms for solving such a nontrivial combinatorial problem were reviewed. A complex mathematical formulation of the problem (mathematical model) in the framework of linear integer programming is presented as scientific novelty. Since all algorithms for finding the optimal solution are known and well developed, when solving problems of any linear programming, this fact significantly simplifies the speed of finding the optimal solution. This article proposes a comprehensive solution to three linear programming problems: transport problem, maximum flow problem, center allocation problem. The proposed model can be used at any enterprise where it is necessary to find the optimal combinatorial option for delivery from a warehouse in order to minimize the cost of transporting finished products. The task we are solving first appeared at a timber processing cal data came was an organization that has a full production cycle, including extraction, processing of raw materials, production in the broadest sense of the word, transportation capabilities, additional capital to expand the warehouse base.The result of the article is, firstly, the derivation of a mathematical complex model, and secondly, the implementation of the model and algorithm for finding the optimal solution in a high-level programming language, which allows the reader to use hardware to solve similar problems in production.