Question

What is the significance of linear programming in research methodology?

Answer 1

Hint: Linear programming, mathematical modelling technique in which a linear function is maximized or minimized when subjected to various constraints. This technique has been useful for guiding quantitative decisions in business planning, in industrial engineering, and to a lesser extent in the social and physical sciences.

Complete answer:
Linear programming (also called linear optimization) is a method to achieve the best outcome such as maximum profit or lowest cost in a mathematical model whose requirements are represented by linear relationships. Linear programming is an extraordinary instance of numerical programming.
All the more formally, linear programming is a procedure for the streamlining of a linear target work, subject to linear equity and linear disparity imperatives. Its achievable locale is a raised polytope, which is a set characterized as the convergence of limitedly numerous half spaces, each of which is characterized by a linear imbalance. Its target work is a real-valued affine (linear) work characterized on this polyhedron.

Note: We must note that Linear programming is widely used in research analysis for optimization. To determine the optimal scenario of an operational research LPP has huge implications. A linear programming calculation finds a point in the polyhedron where this capacity has less value if such a point exists. Also, we can evaluate many technical problems using linear programming methods.