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What is the difference between minimizing and maximizing problems in linear programming?

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The difference between minimizing and maximizing problems in linear programming is that maximization seeks to achieve the highest value of the objective function, while minimization aims to reach the lowest value, with both types adjusting decision variables within defined constraints.

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Maximization seeks to increase the objective function's value, such as profit, while minimization aims to decrease it, such as costs, within specified constraints.

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In linear programming, the primary distinction between minimization and maximization problems is the aim or objective that is being pursued.

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