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 does the objective function represent in Linear Programming?

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The objective function represents the goal of the linear programming problem, typically to maximize or minimize a certain quantity, such as profit or cost.

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What are constraints in Linear Programming?

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

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Define the term 'feasible region' in Linear Programming.

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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 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.

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What does it mean to 'minimize' an objective function?

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To minimize an objective function means to find the lowest possible value of that function within the feasible region.

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What is a graphical method in Linear Programming?

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The graphical method is a way to solve linear programming problems by plotting the constraints on a graph and identifying the feasible region.

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What is the significance of corner points in Linear Programming?

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Corner points (or vertices) of the feasible region are significant because the optimal solution to a linear programming problem will occur at one of these points.

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How do you represent a constraint mathematically?

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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.