Maximizing margin profit at known demand curves

DOI: 10.33917/mic-6.101.2021.34-39

The article deals with optimization of enterprise pricing management. An economic and mathematical model has been developed that allows you to investigate the dependence of margin profit on the price of goods with a certain dependence of the volume of demand for it on the established price. Based on the study of the model, a theoretical estimate of the optimal level of the price of the product was obtained, which provides the enterprise with the maximum margin profit from its sales. It is proposed to generalize the model in case of simultaneous sales of several goods. A formalized setting of the task of joint optimization of prices and deliveries of several types of products is presented, with restrictions on the possibility of deliveries and financing of variable costs of the enterprise.

References:

1. Allen R. Mathematical economy. M.: Publishing House of Foreign Literature, 1963. (In Russ.).

2. Bakanov M.I., Sheremet A.D. Theory of analysis of economic activity. M.: Finance and Statistics, 1997. 412 p. (In Russ.).

3. Wagner G. Fundamentals of operations research. Moscow: Mir, 1972. Vol. 1. 332 p. (In Russ.).

4. Wentzel E.S. Operations research. Tasks, principles, methodology. Moscow: Higher School, 2001. 208 p. (In Russ.).

5. Hermeyer Yu.B. Introduction to the theory of operations research. Moscow: Nauka, 1971. 384 p. (In Russ.).

6. Demikhova I.V. The main aspects of pricing at the enterprise //EKONOMINFO. 2012;17. (In Russ.).

7. Zagladnev A.Yu. Intra-company management. Optimization of functioning procedures. M.: PMSOFT, 2005. 290 p. (In Russ.).

8. Intrigator M. Mathematical methods of optimization and economic theory. M.: Iris-press, 2002. 566 p. (In Russ.).

9. Kovalev V.V., Volkova O.N. Analysis of the economic activity of the enterprise. M.: PBOYL Grizhenko E.M., 2000. 424 p. (In Russ.).

10. Kozlov S.V., Mizel A.A. Margin profit maximization //Proceedings of Tomsk Polytechnic University. 2007;311:8-10. (In Russ.).

11. Quantitative methods of financial analysis / Edited by S.J. Brown and M.P. Kritsman. M.: INFRA-M, 1996. 243 p. (In Russ.).

12. Kosareva Yu.A. Methods of financial analysis //MERIDIAN. 2020;3(37):564-566. (In Russ.).

13. Kotler F. Marketing management. St. Petersburg: Peter Com, 1998. 896 p. (In Russ.).

14. Lamben J.-J. Strategic planning and economic policy. M.: Progress, 1999. 338 p. (In Russ.).

15. Shikin E.V., Chkhartishvili A.G. Mathematical methods and models in management. 2nd edition. Moscow: Delo, 2002. 440 p. (In Russ.).

16. Schneider V.V., Korosteleva L.A. Theoretical aspects of the pricing mechanism in modern business conditions //Actual problems of economics and law. 2014; 4(32):190-195. (In Russ.).