Linear programming is a mathematical modeling technique for determining how to optimally allocate limited resources. It can be used to describe proportional relationships between two or more variables. The advantages of linear programming include helping attain optimal use of resources, improving decision quality, and providing tools to adapt to changing conditions. Some limitations are that it can be computationally difficult for large problems, may provide fractional values, and only applies to static situations with a single objective. Linear programming has applications in business, industry, military, economics, marketing, and distribution for optimizing factors like labor, materials, time, and projects.
2. LINEAR PROGRAMMING
What is LP ?
Linear programming is used to describe the relationship
between two or more variables which are proportional to
each other.
The word programming is concerned with the
optimal allocation of limited resources.
Linear programming is a way to handle certain types of
optimization problems
Linear programming is a mathematical method for
determining a way to achieve the best outcome
3. DEFINITION OF LP
LP is a mathematical modeling technique useful for
the allocation of scarce or limited resources such
as labor, material, machine ,time ,warehouse space
,etc,to several competing activities such as
product ,service ,job, new
equipments, projects, etc...on the basis of a given
criteria of optimality
4. ADVANTAGES OF L.P.
It helps in attaining optimum
factors.
use of productive
It improves the quality of the decisions.
It provides better tools for meeting the changing
conditions.
It highlights the bottleneck in the production
process.
5. LIMITATION OF L.P.
For large problems the computational difficulties
enormous.
are
It may yield fractional value answers to
variables.
decision
It is applicable to only static situation.
LP deals with the problems with single objective.
6. APPLICATION OF LINEAR PROGRAMMING
Business
Industrial
Military
Economic
Marketing
Distribution