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  1. The graphical method is a straightforward approach to solving linear programming problems (LPP) with two variables. It involves plotting constraints on a graph, identifying the feasible region, and determining the optimal solution by evaluating the objective function at specific points.

    Key Concepts in Linear Programming

    1. Objective Function: A linear function, such as Z = ax + by, to be maximized or minimized.

    2. Constraints: Linear inequalities that define the feasible region, e.g., x + y ≤ 40.

    3. Feasible Region: The common area on the graph satisfying all constraints, including non-negativity (x ≥ 0, y ≥ 0).

    4. Optimal Solution: The point in the feasible region that gives the maximum or minimum value of the objective function.

    Steps to Solve Using the Graphical Method

    Corner Point Method

    1. Formulate the problem mathematically, defining the objective function and constraints.

    2. Plot the constraints on a graph and identify the feasible region.

    3. Determine the vertices (corner points) of the feasible region.

    4. Evaluate the objective function at each corner point.

    5. Identify the maximum or minimum value based on the problem's requirements.

  1. Graphical Solution of Linear Programming Problems

    2025年7月23日 · In this article, we will learn about Solutions of Graphical solutions of linear programming problems, their types, examples, and others in detail.

  2. Linear programming - Model formulation, Graphical Method

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    The document discusses linear programming, including an overview of the topic, model formulation, graphical solutions, and irregular problem types.

  3. Graphical solution is limited to linear programming models containing only two decision variables (can be used with three variables but only with great difficulty).

  4. Linear programming (LP) is an application of matrix algebra used to solve a broad class of problems that can be represented by a system of linear equations. A linear equation is an algebraic equation …

  5. Linear Programming: Graphical Method Explained

    Master the graphical method for solving Linear Programming (LP) problems. This guide covers identifying feasible regions, plotting constraints, and finding optimal …

  6. Linear Programming Models: Graphical and Computer Methods Understand the basic assumptions and properties of linear programming (LP). Graphically solve any LP problem that has only two variables …

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  9. Linear programming problem is a special type of optimization problem that is concerned with finding the optimal value which can be maximum or minimum value of a linear function.

  10. Linear programming with two decision variables can be analysed graphically. The graphical analysis of a linear programming problem is illustrated with the help of the following example of product mix …

  11. LPP Formulation and Graphical Method | PDF | Linear …

    LPP Formulation and Graphical Method - Free download as PDF File (.pdf), Text File (.txt) or read online for free. The document discusses linear programming models.