Question: A steel box without a lid having volume 60 cubic feet is to be made from material that costs $4 per square foot for the

A steel box without a lid having volume 60 cubic feet is to be made from material that costs $4 per square foot for the bottom and $1 per square foot for the sides. Welding the sides to the bottom costs $3 per linear foot and welding the sides together costs $1 per linear foot. Find the dimensions of the box that has minimum cost and find the minimum cost. Use symmetry to obtain one equation in one unknown and use a CAS or Newton's Method to approximate the solution.

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The cost function in three variables is C lw h 4lw 2lh 2wh 6l 6w 4h where lwh 60 Subst... View full answer

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