Define the livable space of a building to be the volume of space in the building where a person 6 feet tall can walk easily. An A-frame cabin is y feet long and has equilateral triangular ends x feet on a side, as shown in the following figures. If the surface area of the cabin (roof and two ends) is to be 600 ft2, what dimensions x and y will maximize the livable space? Livable space oft

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