Cost A cargo container (in the shape of a rectangular solid) must have a volume of 480

Chapter 7, Problem 35

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Cost A cargo container (in the shape of a rectangular solid) must have a volume of 480 cubic feet. Use Lagrange multipliers to find the dimensions of the container of this size that has a minimum cost, if the bottom will cost $5 per square foot to construct and the sides and top will cost $3 per square foot to construct.

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