Question

What are the limitations of linear programming problems?

Answer 1

Hint: Here The question is related to the Linear Programming Problem. The question is a direct question, here we have to write the limitations of the linear programming problem. The meaning of limitations is the restricted thing. So below points represent the limitations of the Linear programming Problem.

Complete answer:
If the constraints are represented by linear equations or inequalities and a particular plan of action from several alternatives is to be chosen, we use linear programming.
Linear programming is a method for determining optimum values of a linear function subject to constraints expressed as linear equations or inequalities.
A practical problem may involve dozens of variables, and is usually solved by using Simplex Method and a computer. We plot the graph for the inequalities.
The limitations of Linear Programming problem is given as follows:
1.It deals with optimizing a single objective. In practice, a number of objectives may be there.
2.The assumption that input and output variables are directly proportional is not strictly true. Economics of scale usually ensure that the more you produce, the less the average cost.
3.The linearity of variables assumes that resources required for multiple activities are the sum total of resources required for individual activities. However, synergies of product mix usually mean that the requirement is less than the sum.
4.In practice, many decision variables assume integral values, e.g., number of workers. L.P deals with variables having continuous values.

Note:
To know about the Limitations of Linear programming problem firstly we have to know about the Linear programming problem and how it is applicable to solve problems. By using the Linear Programming problem, we can solve the problems related to Manufacturing problems, Diet problems and Transportation problems.