Question: Numerical methods and optimization endustrial engineering - Among all the rectangular parallelepipeds that are inscribed in an ellipsoid described by {(x,y,z)a2x2+b2y2+c2z2=1} and have sides that

Numerical methods and optimization endustrial engineering - Among all the rectangular

Numerical methods and optimization

endustrial engineering

- Among all the rectangular parallelepipeds that are inscribed in an ellipsoid described by {(x,y,z)a2x2+b2y2+c2z2=1} and have sides that are parallel to the axes of the ellipsoid, we want to find the one with maximal volume. Formulate the corresponding constrained optimization problem and find al the KKT points

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