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A small liberal arts college in north georgia is planning to build a new, 18,000- cubic foot outdoor swimming pool with rectangular concrete sides. The square bottom is to be at least 10 feet on each side and at most 40 ft on each side. If the cost of the concrete for the side is $15 per square foot and the cost of the tile to be used on the bottom is $20 per square foot, what should the dimensions be in order to minimize the cost of material for the pool?
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