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Optimization Techniques Using Simplex Method for Profit Maximization in Production

This exercise focuses on using the Simplex Method to determine the optimal production levels of various products to maximize weekly profits. It includes an analysis of which variables are basic (besides Z) and the current values of x1, x2, and x3. Additionally, it addresses whether the current corner point solution is optimal, identifies entering and leaving variables for the next iteration, and calculates the new values of x1, x2, and x3 at the subsequent corner point solution.

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Optimization Techniques Using Simplex Method for Profit Maximization in Production

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Presentation Transcript

  1. OptimizationSimplex Method(Exercise)

  2. Problem How many kilogram of each product to produce in order to maximize weekly profit?

  3. Problem #2a • Which variables (besides Z) are the basic variables? • What are the values of x1, x2, x3? • Is this corner point solution optimal?

  4. Problem #2b • Which variable should be the entering variable and which variable should be the leaving variable? • At the next corner point solution, what are the values of x1, x2, x3?

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