Linear Programming

Linear programming is the method used in mathematics to optimize the outcome of a function. It is widely used in the fields of Mathematics, Economics and Statistics. In this chapter, we will learn about different types of Linear Programming Problems and the methods to solve them.

FAQs on Linear Programming

Question 1: Explain the use of linear programming?

Answer: Linear programming is useful in obtaining the most optimal solution for a specific problem with specific constraints. Here, formulation of a real-life problem into a mathematical model takes place. It involves an objective function, linear inequalities with subject to constraints.

Question 2: Explain the components of linear programming?

Answer: The components of linear programming are as follows:

  • Decision variables represent quantities whose determination has to take place.
  • The objective function shows how the decision variables will impact the cost or value whose optimization has to take place.
  • Constraints explain how the decision variables utilize resources that are limited.
  • Data quantifies the relationships that are represented in the constraints and the objective function.

Question 3: Give the disadvantages of linear programming?

Answer: The disadvantages of linear programming are as follows:

  • It takes place only with the variables that are linear.
  • It does not consider change of variables.
  • It cannot solve the nonlinear function.
  • Impossible to solve a problem that has more than two variables in the graphical method.

Question 4: What are the various characteristics of linear programming?

Answer: The characteristics of linear programming are: objective function, constraints, non-negativity, linearity, and finiteness.

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