Linear Programming

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What is Linear Programming?

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Linear Programming is a mathematical method for determining a way to achieve the best outcome in a given mathematical model. Its function and constraints are linear.

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What is an Objective Function in Linear Programming?

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An Objective Function is a mathematical expression that defines the goal of the optimization problem, typically to maximize or minimize a quantity.

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What does it mean to maximize an Objective Function?

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To maximize an Objective Function means to find the highest possible value of that function within the feasible region defined by the constraints.

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What are constraints in Linear Programming?

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Constraints are the restrictions or limitations on the decision variables in a linear programming problem, often expressed as linear inequalities.

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What is a feasible region?

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The feasible region is the set of all possible points that satisfy the constraints of a linear programming problem, typically represented graphically.

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What are corner points in Linear Programming?

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Corner points (or vertices) are the points at which the constraints intersect in the feasible region, and they are potential candidates for optimal solutions.

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How do you find the maximum value of an Objective Function?

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To find the maximum value of an Objective Function, evaluate the function at each corner point of the feasible region and select the highest value.

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What is the significance of the vertices of the feasible region?

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The vertices of the feasible region are significant because the optimal solution to a linear programming problem will always occur at one of these vertices.

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What is the graphical method in Linear Programming?

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The graphical method involves plotting the constraints on a graph to visualize the feasible region and identify the corner points.

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What is the standard form of a Linear Programming problem?

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The standard form of a Linear Programming problem is to maximize or minimize an objective function subject to linear equality and non-negativity constraints.