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Limitations Of Linear Programming

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Definition of Key Terms 1. Objective function: It is a mathematical expression of the goal that management will tend to achieve by employing the linear programming technique. 2. Constraint: It is the limitation under which we have to plan and make decision. 3. Decision variables: Variables that can be controlled by the organization or variables over which the organization has some sort of control. Assumptions 1. Linearity: The objective function and the constraint function of the decision variables are linear. This means that the use of resources is proportional to the quantity produced. 2. Additivity : Adding the resources used for each products gives the total amount of resources used. This is if 2 units on A, 3 units on B and 4 units on C, it should be equal to the total resources used in the operations. 3. Non-negativity: It is assumed that, a non-negativity constraint is placed on every linear programming programme. This means that a negative activity is not permissible in linear programming. Limitations of Linear programming: 1. The linearity assumption does not always hold 2. Linear programming accommodates only one objective at a time. 3. The computations required are sometimes tedious. Types of linear programming 1. Maximizing desired objective. For example maximizing profits, market shares, sales, etc. 2. Minimizing undesired objective. For example minimizing losses,cost etc. Stages in Linear programming 1. Formulations of problem 2. Solution of problem. This

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