application of linear programming in business

Transportation Problem - Goods have to be transported from sources (like factories) to destinations (like warehouses) on a regular basis. The transportation problem deals with minimising the costs in doing so. Linear programming effectively deals with this proble..

Linear Programming..

A travelling sales man can find the shortest routes to save time / fuel cost. The most economic and efficient manner of locating manufacturing plants and distribution centres may be used. Linear programming may be used for effective and efficient production management and manpo..

Limitations of Linear Programming - Linear programming is applicable only to problems where the constraints and objective function are linear i.e., where they can be expressed as equations which represent straight lines. In real life situa..

Conclusion - The graphical method of solving an LPP is possible only if there are two decision variables (say x and y). This method is not suitable if there are three or more decision variables. In this case, there is a powerful method called 'simplex method'. The wide usage of liner programmi..

Some of the methods of linear programming are: The Graphical Method The Analytical Method The Simplex Method In the graphical method, the constraints are actually drawn as straight lines and the optimal solution is found. This method is explained in detail later. The graphical m..

So far we have learnt how to construct a mathematical model for a linear programming problem. If we can find the values of the decision variables x 1 , x 2 , x 3 , ..... x n , which can optimise (maximize or minimize) the objective function Z, then we say that these values of x ..

To provide the required protection at the minimum cost, linear programming is used. This technique is useful to cause maximum damage to the enemy with minimum fuel/cos..

i. The linear programming technique helps to make the best possible use of available productive resources (such as time, labour, machines etc.) ii. In a production process, bottle necks may occur. For example, in a factory some machines may be in great demand while o..

The standard form of the linear programming problem is used to develop the procedure for solving a general programming problem. A general LPP is of the form Max (or min) Z = c 1 x 1 + c 2 x 2 + +c n x n x 1 , x 2 , ....x n are called decision variable..