Business Insights Unveiled: A Journey through Linear Programming Problems

Page Numbers: 1-14
Published
2023-10-22
Digital Object Identifier: 10.58578/mjms.v1i1.1948
Save this to:
Article Metrics:
Viewed : 75 times
Downloaded : 73 times
Article can trace at:

Author Fee:
Free Publication Fees for Foreign Researchers (0.00)

Please do not hesitate to contact us if you would like to obtain more information about the submission process or if you have further questions.




  • Aditya Jha M.I.T. Campus, T.U, Janakpur, Nepal
  • Suresh Kumar Sahani M.I.T. Campus, T.U, Janakpur, Nepal
  • Anshuman Jha M.I.T. Campus, T.U, Janakpur, Nepal
  • Kameshwar Sahani Kathmandu University, Dhulikhel, Kathmandu, Nepal

Abstract

This project delves into the world of linear programming problems (LPP), a powerful optimization technique. It delves into the historical background, key features, fundamental assumptions, and wide-ranging applications of LPP. It also explores two hypothetical case studies: one in investment portfolio optimization and the other in advertisement budget allocation. LPP serves as a guiding light in making strategic investment decisions by maximizing returns and minimizing risks. In the context of advertising, it enables efficient budget allocation to reach the maximum audience and achieve the highest impact within constraints. The project emphasizes how LP simplifies complex decision-making processes, highlighting its practicality and relevance across diverse sectors. In essence, linear programming emerges as an indispensable tool for informed, data-driven decision-making, much like a skilled navigator guiding a ship through challenging waters toward its destination.

Keywords: Linear Programming Problem; Investment Portfolio Optimization; Advertisement Budget Optimization

Citation Metrics:






Downloads

Download data is not yet available.
How to Cite
Jha, A., Sahani, S., Jha, A., & Sahani, K. (2023). Business Insights Unveiled: A Journey through Linear Programming Problems. Mikailalsys Journal of Mathematics and Statistics, 1(1), 1-14. https://doi.org/10.58578/mjms.v1i1.1948

References

Ali M.A.M. and Yang S.K. (2012). Transportation problem: A special case for linear programing problems in mining engineering, International Journal of Mining Science and Technology, Vol.22(3), 371-377, https://doi.org/10.1016/j.ijmst.2012.04.015.

Bland, R.G. (1977). New Finite Pivoting Rules for the Simplex Method, Mathematics of Operations Research, Vol.2(2), 103–107, doi:10.1287/moor.2.2.103.

Chanda, R., Pabalkar, V. and Gupta, S. (2022). A Study on Application of Linear Programming on Product Mix for Profit Maximization and Cost Optimization, Indian Journal of Science and Technology, Vol.15(22), 1067-1074, https://doi.org/ 10.17485/IJST/v15i22.164.

Dano, S. (2012). Linear Programming in Industry: Theory and Applications An Introduction, Springer Science & Business Media.

Dantzig, G.B. and Thapa, M.N. (1997). Linear programming 1: Introduction, Springer-Verlag.

Dorfman, R., Samuelson, P. A. and Solow, R. M. (1987). Linear programming and economic analysis, Courier Corporation.

Hassan, U., Haruna, A., Lukunti, S. and Yusuf, B. (2020). The Optimization Problem of Product Mix and Linear Programing Applications, a Revise Simplex Approach; a Study of Amo Byng Nigeria Limited, African Scholar Publications & Research International, Vol.18(2), 353-368.

Hossain, S., Aktar, S. and Mithy, S. A. Solution of Large-Scale Linear Programming Problem by Using Computer.

Igwe, K. C. and Onyenweaku, C. E. (2013). A Linear programming approach to food crops and livestock enterprises planning in Aba agricultural zone of Abia State, Nigeria, American Journal of Experimental Agriculture, Vol.3(2), 412.

Parikh J. and Chattopadhyay D. (1996). A multi-area linear programming approach for analysis of economic operation of the Indian power system, IEEE Transactions on Power Systems, Vol.11(1), 52-58, doi: 10.1109/59.485985.

Park, S., Song, H. and Lee, S. (2019). Linear programing models for portfolio optimization using a benchmark, The European Journal of Finance, Vol.25(5), 435-457, doi: 10.1080/1351847X.2018.1536070.

Todd, M.J. (2002). The many facets of linear programming, Mathematical Programming, Vol.91(3), 417–436, doi:10.1007/s101070100261.