The most appropriate procedures in the inventory organization area are inventory arrangements based on ABC investigation, a well-known technique for establishing the objects in a different collection, giving their status and principles. This research BiA mathematical goal to advance the inventory group founded on the ABC. The Planned model instantly improves the amenity level, the amount of inventory grouping, and the number of due things. An Arithmetical model is available in this study to categorize inventory objects, considering significant revenue and rate decrease catalogues. The model aims to maximize the net gain of available items. Economic and inventory constraints are also taken into account. The Benders decay and Lagrange reduction procedures respond to classical arithmetical stands. The outcomes of the two answers are then equated. TOPSIS and numerical examinations estimate the planned answers and choose the best. Later, numerous sensitivity studies on the classic were completed, which assists inventory control executives in regulating the outcome of inventory administration rates configured for optimum verdict production and element grouping. The Arithmetical diagram was run for ten different arithmetic instances, and the results of the two suggested explanations were statistically equated using a t-test. As a result, the TOPSIS technique was appropriate; the Lagrangean approach was chosen as the more fabulous technique.