Question: (Minimizing packaging costs) A rectangular box is to have a square base and a volume of 40 f t3 . If the material for the

(Minimizing packaging costs) A rectangular box is to have a square base and a volume of 40 f t3 . If the material for the base costs 0.3 $/square foot, the material for the sides costs 0.1 $/square foot, and the material for the top costs 0.2 $/square foot, determine the dimensions of the box that can be constructed at minimum cost.

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