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Lecture 5 LP Duality In Lecture #3 we saw the Max flow Min cut Theorem which stated that the maximum flow from a source to a sink through a graph is always equal to the minimum capacity which needs
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Step 1: Identify the primal problem and its constraints.
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Step 2: Determine the objective function of the primal problem.
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Step 3: Convert the primal problem into its dual form by assigning variables to the constraints and the objective function.
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Step 4: Write down the dual problem.
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Step 5: Identify the constraints and objective function of the dual problem.
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Step 6: Solve the dual problem using optimization techniques such as the simplex method or graphical method.
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Step 7: Interpret the results of the dual problem in the context of the original primal problem.

Who needs lp duality?

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Business analysts and managers who need to maximize or minimize an objective function subject to certain constraints.
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Engineers and operations researchers who need to optimize the allocation of resources in complex systems.
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Students and researchers studying linear programming and optimization techniques.
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LP duality is a concept in linear programming where the maximization of one problem is equivalent to the minimization of another related problem.
LP duality is not something that individuals or entities file. It is a mathematical concept used in optimization problems.
LP duality is not a form that needs to be filled out. It is a theoretical concept used in mathematical optimization.
The purpose of LP duality is to provide insights into the relationship between primal and dual linear programming problems, helping to solve optimization problems more efficiently.
LP duality does not involve reporting specific information. It is a mathematical concept used in optimization.
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