Linear Programming Preparation Practice Tests

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Description: Linear Programming is a mathematical technique used for optimization, where the objective is to maximize or minimize a linear function subject to a set of linear inequalities or equations known as constraints. This method is widely applied in various fields like economics, business, engineering, and military operations to make the most efficient use of limited resources. The core idea is to find the best possible outcome within a feasible region defined by these constraints.Formulation of Linear Programming Problems involves defining the decision variables, objective function, and constraints. Decision variables represent the choices available, the objective function represents the goal to be optimized, and constraints represent the limitations or requirements that must be satisfied. Proper formulation is critical because an incorrectly defined problem can lead to meaningless or infeasible solutions.Graphical Method is a simple technique for solving linear programming problems with two decision variables. It involves plotting the constraints on a graph to identify the feasible region and then locating the optimal solution at the vertices of this region. While easy to visualize, this method becomes impractical for problems involving more than two variables, where more sophisticated methods are needed.Simplex Method is an algorithmic approach for solving linear programming problems with multiple variables. Developed by George Dantzig, this method systematically examines the vertices of the feasible region in a structured manner to identify the optimal solution. It is highly efficient and widely used in real-world large-scale optimization problems where graphical methods are not feasible.Duality in Linear Programming refers to the concept that every linear programming problem has a corresponding dual problem. The solution to the dual problem provides insights into the value of resources in the original problem and helps in sensitivity analysis. Understanding duality also assists in sol
Category: IT & Software > IT Certifications > Linear Programming
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