Maximizing the ratio of two linear functions   subject to a set of linear inequalities

Author(s)	Dr. SYED QAIM AKBAR RIZVI
Country	India
Abstract	This paper explains a step-by-step method algorithm to solve a special type of mathematical problem called a linear fractional functional programming problem. This problem helps solve economic situations where different activities use fixed resources based on their value or importance. Charnes and Cooper found a way to simplify these fractional problems which involve ratios by turning them into two regular linear programming problems, which are easier to solve. The method repeats a limited number of steps to find the solution. By solving a group of inequality equations, we can get the final answer to the problem.
Keywords	fractional, optimization, allocations, feasible solution, optimality, optimum.
Field	Mathematics > Statistics
Published In	Volume 7, Issue 5, September-October 2025
Published On	2025-10-22
DOI	https://doi.org/10.36948/ijfmr.2025.v07i05.58590

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