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Find the dimensions and volume of the box of maximum volume that can be constructed. The...

Find the dimensions and volume of the box of maximum volume that can be constructed. The rectangular box having a top and a square base is to be constructed at a cost of $4. If the material for the bottom costs $0.10 per square foot, the material for the top costs $0.35 per square foot, and the material for the sides costs $0.25 per square foot,

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