Understand how approximation algorithms compute solutions that are guaranteed to be within some constant factor of the optimal solution. Develop a basic understanding of how linear and integer ...

The problem is now in the standard form for linear programming problems: an objective function that is to be maximized, subject to a number of constraints. We go on to examine solution methods.

NCERT Solutions Class 12 Maths Chapter 12 Linear Programming are available free for the students. Download exercise solutions PDF in an easy way.

The present paper deals with the problem of maximizing the ratio of two linear functions subject to a set of linear equalities and nonnegativity constraints on the variables. The problem is attacked ...