The work simulates a game with full information with two agents in the supply chain: one labor exchange - one enterprise. The strategy of the enterprise is the demand for labor resources. The labor exchange strategy is the party of labor resources. The company provides the labor exchange with information on the demand for workers, the labor exchange decides on the procurement and delivery of batches of workers. Labor resources as stocks are managed by the labor exchange. Thus, the model proposed in the work obeys the VMI (Vendor Managed Inventory) concept and is a model of cooperation between the labor exchange and the enterprise. A multi-product EOQ (Economic Order Quantity) model for a two-tier supply chain is proposed. The task is to minimize the value of the supply chain of labor resources, in which the optimization variable is the maximum level of labor shortages. The task takes into account the shortage of labor resources, monetary fines for the deficit, restrictions on the space of the labor exchange and the number of orders.