Linear Programming

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What is linear programming?

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It is a method for finding a maximum or minimum value of some quantity, given a set of constraints.

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What is the feasible region in linear programming?

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It is the area where all the shading overlaps when graphing constraints.

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What are the vertices of the feasible region?

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They are the corner points of the feasible region, which can be used to find the optimal solution.

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What does it mean if a linear programming problem is unbounded?

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It means that the shaded regions of the constraints do not form a closed figure, indicating no maximum value.

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What is the objective function in linear programming?

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It is the function that needs to be maximized or minimized, typically expressed in terms of variables.

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How do you determine the maximum value of an objective function?

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By evaluating the objective function at the vertices of the feasible region.

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What is a constraint in linear programming?

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It is a condition that the solution must satisfy, often expressed as an inequality.

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What is the difference between maximization and minimization in linear programming?

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Maximization seeks the highest value of the objective function, while minimization seeks the lowest value.

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What role do inequalities play in linear programming?

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Inequalities define the constraints that limit the feasible region.

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What is a bounded feasible region?

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It is a feasible region that is enclosed and has a maximum or minimum value.