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Definitions from the WebLinear ProgrammingDefinition:Linear programming is a mathematical method used to optimize the allocation of limited resources in order to achieve the best possible outcome. It involves finding the maximum or minimum value of a linear objective function, subject to certain linear inequality or equality constraints. Senses and Usages:Sense 1 - Mathematics:In mathematics, linear programming refers to the process of solving optimization problems that involve a linear objective function and linear constraints. It is extensively used in various fields such as economics, operations research, and engineering. Example:The production manager used linear programming to determine the optimal amount of raw materials required to minimize costs while meeting production demands. Sense 2 - Computer Science:In computer science, linear programming is employed to design algorithms and solve problems with linear constraints. It is utilized for tasks such as network flow problems, resource allocation, and scheduling. Example:A linear programming approach was implemented to optimize the distribution of goods in a logistics network, ensuring efficient utilization of available resources. Sense 3 - Business and Finance:In the context of business and finance, linear programming is utilized to make informed decisions regarding resource allocation, production planning, inventory management, and portfolio optimization. Example:A financial analyst employed linear programming techniques to construct an optimal investment portfolio, balancing risk and return based on specific constraints and objectives. Related Products:To dive deeper into the world of linear programming, check out these related products on Amazon: | ||||
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