摘要：Industry 4.0 is the digital transformation of business processes. In the process of modernization of the enterprise in question, a new production factor is gradually replacing the previous production factor. At the same time, the value of the output of the old production decreases to zero, and the limit value of the output of the new production is steadily increasing. The production functions for each production component and the enterprise as a whole, based on the results of a numerical solution of the Cauchy problem, which describe the process of replacing one production enterprise with another, are proposed.
