Question: You want to build a rectangular box with a square base with volume 1000 cubic feet. The sides cost $ 4 per square foot, the

You want to build a rectangular box with a square base with volume 1000 cubic feet. The sides cost $ 4 per square foot, the top costs $ 5 per square foot, and the base costs $ 3 per square foot. What dimensions minimize the cost of the box? (Give your answer as an ordered pair ( x , y ) , where x is the length and width and y is the height.)

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