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Understanding The Concept Of Linear Programming

Linear programming is an operations research technique that originated in the early 1950s. Having diverse practical applications, the technique has greatly benefited various organizations in their production and other operations. Prof. GB Dantzig is one of the pioneers in the formulation of the linear programming procedure.

This technique can be applied in various situations: long-term planning, production planning, storage decisions, physical distribution decisions, marketing and product mix decisions, fluid mixing problems, oil field exploration, decisions purchase, quality control decisions, material use decisions, etc. etc.

The basic problem that Linear Programming solves is that of optimizing total profits or costs or some other utility function. It takes into account limitations or constraints on the availability or use of different resources, such as labor, machinery, materials, time and money, as well as other limitations and constraints such as those existing in the market (for example, they could only so many units of a product). be sold) or quality specifications, such as the maximum or minimum limits of the performance characteristics of a given product, etc. In short, linear programming is concerned with optimizing a desired objective in a situation where there are various constraints. Most management problems are optimal decision-making problems under various constraints. Therefore, linear programming properly attracts the attention of practicing executives.

We can illustrate what linear programming means using a simple example. Suppose a company produces two products X and Y, both of which require a particular raw material and machine. Product X requires 4 machine hours and 3 Kg of raw material per product unit, and product Y requires 2 machine hours and 6 Kg of raw material per product unit. Assume that the availability of machine hours and raw material is limited. Raw material is available up to a maximum extent of only 240 Kg per month and machine hours are available up to a maximum extent of only 200 machine hours per month. Products X and Y each contribute to the profit margin by $7 and $9 respectively per unit of the product. How many units of products X and Y should the company produce each month?

To solve the above problem, you need to clearly understand the concept of linear programming and apply it in the right way. If you have problems while learning this concept, you can take help from private tutors. Finding the right tutor for a particular subject, location and time period is possible through the internet. You just need to take some time out of your busy schedule to find tutoring services online.

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