Abstract: Manufacturing companies deliver large quantities of products every day to multiple customers through different modes of transportation. The variety of products and the spread of manufacturing possibilities creates a complex cost management problem. The system used the mathematical framework of a directed graph to create a mathematical structure that captures dimensions within which the manufacturing facilities operate to deliver thousands of products to customers spread across various parts of the country. By assigning the most cost effective manufacturing facility to the most profitable and most probable demands, it ensures that the overall manufacturing network is optimized for maximum profit not just cost minimization. The solution design for the capacity optimization platform combines capacity and price to maximize profitability.