In this study, we present a mathematical model with three objectives, by which we maximize the number of standard items in stock, by recovering the materials lost in the cutting process by welding, and minimize the total waste of raw materials and the number of modes to be carried out. We also propose a solution technique consisting of two steps, the first of which is to create the cutting matrix and the second of which is to find all possible solutions that satisfy the orders and from them all the efficient solutions, thanks to a subset of these cutting modes. In both steps, we recover lost materials through welding and form new standard items. Each solution features the number of standard items recovered by total waste weld, number of cutting modes, and total waste.