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Minimizing Volume using Lagrange Multipliers

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An aquarium has a slate bottom that costs 8 cents/sq inch and glass sides which cost 1 cent/sq inch. The aquarium is to have a volume of 1024 cubic inches. Find the dimensions of the least expensive aquarium. Use the Lagrange multipliers.

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Solution Summary

This solution shows how to use Lagrange multipliers to minimize volume in an attached Word document.