Arya Bhatta Journal of Mathematics and Informatics

  • Year: 2024
  • Volume: 16
  • Issue: 2

Utilization of gomory's cutting plane method to maximize profit for software company

1Department of Mathematics, Rabindranath Tagore University, Bhopal (M.P), India

2Department of Mathematics, Lakshmi Narain College of Technology & Science, Bhopal (M.P), India

Abstract

In this study, we are going to use the approaches of linear programming problems to the utilization of available resources to operate a software company in the field of software development. The primary goal of this study is to maximize the profit of medium-size and small-size software companies that have limited funds to operate themselves and cannot afford higher salaries to pay employees as well as purchase advanced machines, on the other hand, how can they handle different-2 type of projects at the same time as per customer requirement. Here we are applying two methods to solve our problems of linear programming problems first is well well-known simplex method and another is Gomory's cutting plane method to obtain maximum profit and also compare the obtained results.

Keywords

Linear Programming Problem, Simplex Method, Gomory's cutting plane method