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    Optimization - dimensions

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    A customer has asked me to design an open-top stainless steel vat. It is to have a square base and a volume of 32 cubic ft. to be welded from quarter-inch plate, and to weigh no more than necessary. What dimensions do I recommend?

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    Solution Preview

    From the condition, we know the base of the vat is a square. Suppose the size of the square is x ft. Suppose the height of the vat is y ft. The vat is welded from quater-inch plate. We want to minimize ...

    Solution Summary

    The solution provides an example of optimization for a steel vat weighing as little as possible.