What is the purpose of the objective function in linear programming?
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The purpose of the objective function in linear programming is to define the goal of the optimization problem, typically maximizing or minimizing a specific quantity, such as profit, cost, or resource usage, subject to given constraints.
The objective function in linear programming is really important because it tells us what we’re trying to achieve with our optimization problem. It’s like a goal we want to reach whether that’s maximizing profit, minimizing costs, or something else.
The objective function in linear programming serves the purpose of defining the goal of the optimization problem. It is a mathematical expression that quantifies what needs to be maximized or minimized, such as profit, cost, time, or resource utilization. The objective function is formulated based on decision variables, and its optimal value is determined within the constraints of the problem. Essentially, it guides the decision-making process by providing a target to achieve while considering the limitations imposed by the constraints.