An open-top box is to have a square base and a volume of 10 m3 . The cost per square meter of material is 5 dollars for the bottom and 2 dollars for the four sides. Let x and y be lengths of the box’s width and height respectively. Let C be the total cost of material required to make the box. Find the dimensions of the box so that the cost of materials is minimized. What is this minimum cost?

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