Application of Mathematical Modeling Methods to Determine the Optimal Price Level

Student: Asadullina Alina

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Applied Mathematics (Bachelor)

Year of Graduation: 2020

A mathematical model was constructed and analyzed during this paper. The dependent variable of it was demand, independent variables were time and prices. Also, an optimization problem was compiled and numerically solved using an example of a group of goods. We obtained a set of optimal prices that maximize marginality function on the outcomes of this work. All stages of the work were performed using the SAS Enterprise Guide and Python tools. The model has a well-interpreted and easily scalable structure. This allows using the results of this work to predict consumer behavior and form pricing policies in large retail enterprises.

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