Objective Function
Q1: What is the Objective Function in Linear Programming Problem?
Answer:
An objective function is a real-valued function that is either to be maximized or minimized depending upon the constraints. It comprises two decision variables.
Q2: What is the Aim of the Objective Function?
Answer:
The aim of the objective function is to maximize or minimize the resultant value. It is an equation that is expressed in terms of decision variables and plays a crucial role in Linear Programming.
Q3: How do we Understand if a Function is to be Maximized or Minimized?
Answer:
To check if a function is to be maximized or not we should be familiar with terms like ‘at most’, ‘at least’. If the term ‘at least’ is given in question then the objective function is to be minimized. For the term ‘at most’ the function should be maximized.
Q4: Name the Common Types of Objective Functions.
Answer:
There are two types of Objective functions:
- Maximization Objective function
- Minimization Objective Function
Q5: What are the Applications of the Objective Function?
Answer:
There are different applications of the Objective function. They are useful in real-life scenarios. They are basically used to estimate profit or loss in each case. Objective functions are useful in transportation problems, time constraint problems etc.
Objective Function
Objective Function is the objective of the Linear Programming Problem as the name suggests. In linear programming or linear optimization, we use various techniques and methods to find the optimal solution to the linear problem with some constraints. The technique can also include inequality constraints as well. The objective function in Linear Programming is to optimize to find the optimum solution for a given problem.
In this article, we will learn all about the Objective Function including its definition, types, how to formulate an objective function for any given problem, etc. We will also learn various representations of Objective Functions such as Linear Objective Functions or Non-linear objective functions. So, let’s start learning about this fundamental concept in Linear Programming i.e., “Objective Function”.
Contact Us