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A box of volume 36 m3 with square bottom and no top is constructed out of...

A box of volume 36 m3 with square bottom and no top is constructed out of two different materials. The cost of the bottom is $40/m2 and the cost of the sides is $30/m2 . Find the dimensions of the box that minimize total cost. (Let s denote the length of the side of the square bottom of the box and h denote the height of the box.)

(s, h) =

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