In today’s fast-paced global competition, where customer demands are constantly changing, businesses must focus on reducing costs, increasing efficiency, increasing productivity and profitability. The article deals with the solution of production capacity, inventory and production process in a manufacturing company, which carries out its business activity on the international market in the automotive industry. The company manufactures head restraints for cars in Slovakia. Based on the analysis carried out, insufficient production capacity was found for one of the necessary components for the production of the head restraint. SWOT and MIN-MAX methods were used to identify the bottleneck in production. We were able to eliminate this bottleneck with a suitable solution, thus ensuring safe production and diversifying the risk of machine failure in the future. Introducing the new foam line will enable the company to win additional projects from new or existing customers. The article summarizes the characteristics, typical areas of application of the MIN-MAX method and the reasons for its application.