Derive the model of the optimisation problem

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MATLAB Programming Problem - Cardboard box design

A cardboard box for packing quantities of small electronic component is to be manufactured as shown in the figure. The top, bottom, and front faces must be of double weight (i.e., two pieces of cardboard). A problem posed is to find dimensions (x,y,z) of such a box that maximize the volume for given amount of cardboard, equal to 1.44 square meters.

(1) Derive the model of the optimisation problem; (2) solve the problem using Lagrange Multiplier and another two numerical methods/software; (3) formulate another two reasonable cardboard design problems and solve them.

Reference no: EM133234174

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