Question: The bottom of a rectangular box costs twice as much per unit area as the sides and top. Use Lagrange multipliers to find the shape

The bottom of a rectangular box costs twice as much per unit area as the sides and top. Use Lagrange multipliers to find the shape for a 12-cubic inch box that will minimize cost.

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The bottom of a rectangular box costs twice as much per unit area as the sides and top. Use Lagrange multipliers to find the shape for a 12-cubic inch box that will minimize cost.

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