Lagrange multipliers applied to constrained minimization of surface area of a right pyramid with regular n-gon base

Anthony S. Morfe

doi:10.1117/12.3026701

8 April 2024 Lagrange multipliers applied to constrained minimization of surface area of a right pyramid with regular n-gon base

Anthony S. Morfe

Author Affiliations +

Proceedings Volume 13090, International Conference on Computer Application and Information Security (ICCAIS 2023); 130900C (2024) https://doi.org/10.1117/12.3026701
Event: International Conference on Computer Application and Information Security (ICCAIS 2023), 2023, Wuhan, China

Abstract

Optimization is a method of determining the optimal value of an objective function while satisfying the given restrictions. This study used the method of Lagrange multipliers to set up an auxiliary function to determine the optimal dimensions that will minimize the total surface area of a right pyramid with regular n-gon base subject to a fixed volume. The derived formulas can be utilized by the companies to lessen their packaging expenses.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

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Anthony S. Morfe "Lagrange multipliers applied to constrained minimization of surface area of a right pyramid with regular n-gon base", Proc. SPIE 13090, International Conference on Computer Application and Information Security (ICCAIS 2023), 130900C (8 April 2024); https://doi.org/10.1117/12.3026701

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