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Maximization of volume

An international airline has a regulation that each passenger can carry a suitcase having the sum of its width, length and height less than or equal to 135 cm. Find the dimensions of the suitcase of maximum volume that a passenger may carry under this regulation.

Solution Preview

Suppose the width, length and height of a suitcase is x, y, z cm, consecutively.
The ...

Solution Summary

This shows how to find the maximum volume of a suitcase that can be carried with a given sum of dimensions.