Linear Programming – All The Necessary Aspects You Should Know About
Linear programming refers to a mathematic method that was developed to determine the best solution from the given parameters that are represented in a form of linear relationships. The technique was first formulated by the Russian mathematician L.V. Kantorovich but the advanced version of the linear programming we currently use was developed by Geoge B. Dantzig in 1947.
Linear programming plays a crucial in an organization as the famous Economist Robbins says “resources like labour, material, capital, and machines are always limited but each of these resources can be used in different ways. The foremost challenge faced by the manager of an organization is to come up with alternatives that can enhance the profit and reduce the cost of production without compromising the quality. Linear programming helps upper management to identify the best strategies from the number of alternatives.
Students who are not familiar with the method and learning this for the very first time need to gain an understanding of meaning, characteristics, and other details. The below blog is written with the objective to highlights all of these aspects of linear programming. Students can also hire linear programming assignment help to get more detailed information about the aspects of linear programming.
The Meaning of Linear Programming?
The word “linear programming” is a combination of two words “linear” and “programming” where the term “linear” present the relationship between two variable, “programming” means planning, the selection process that determines the best alternatives. Thus, it is defined as a mathematical technique used to allocate resources to the maximum potential.
What are the Main Characteristics of Linear Programming?
Students, who hire linear assignment help in Madaba often ask what are the major characteristics of linear programming? The thing, all sort of linear programming follows the five major characteristics;
Objective functions
There should be an objective that can be defined in a quantitative manner. In the majority of the business problem, the main objective is the maximization of the profit or minimization of production cost.
Constraints
All the limitations regarding the resources should be fully spelled out in the mathematical format.
Non-negativity
The value of your variable must be zero, positive, or in between them but it can never be negative. When it comes to the production, the manager can at least decide about the certain product either positive or zero but in any condition, he cannot make it negative.
Finiteness
A number of both input and output should be finite as in the presence of infinite factors composing a solution is not possible.
Linearity
The relationship the variable share must be linear and by the linear, the degree of presented variables should be maximum one. Students can buy ready-to-submit linear programming assignments online to gain more information on the objective functions.
What are the Assumptions of Linear Programming?
Just like any other subject linear programming also work upon several assumptions. These assumptions include;
Proportionality
The fundamental assumption that lies under linear programming is that any change you will make has a corresponding change in the objective function. What this means is if a single product contributes the profit of $2 in the profit, then the total contribution would be 2×1 where ‘1’ is the unit. To further explain this concept in the research paper, students can obtain Linear Programming homework help from expert writers
Additivity
The linear assumption of additivity in the linear programming is the total profit the organization has earned will be determined by adding the profit contributed by each product separately. This assumption indicates that there is no particular interaction between decision variables.
Continuity
This assumption of linear programming defines that the decision variable will be continuous. This refers that the frictional value that can be used with the combination of outputs.
Certainty
Certainty is another most famous assumption of linear programming. In more concise words, the parameters of the function’s coefficients and the coefficients of constraint inequalities with certainty like profit per unit, availability of the material, and labor per unit.
Finite choice
This major assumption of linear programming relies upon the factor that the decision-maker has certain choices and the value of the variable is non-negative. This assumption is feasible as the output of the production cannot be negative.
Linear programming studies play a crucial role by choosing the best alternatives from the available ones. However, the subject is complex in nature which makes it challenging for students to write an assignment on it but don’t worry! BookMyEssay is always here to help students with their academic writing tasks. The company has a team of professionals who work with dedication to deliver premium-quality Linear Programming assignment help in Irbid at an affordable price.