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Can someone clearly explain this problem? A closed box with a square base is to be built to house an ant colony. The bottom of

Can someone clearly explain this problem?

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A closed box with a square base is to be built to house an ant colony. The bottom of the box and all four sides are to be made of material costing $1 / ft2, and the top is to be constructed of glass costing $5 / ft2. What are the dimensions of the box of greatest volume that can be constructed for $72

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