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A hockey rink is to be constructed with a rectangular middle and semicircle ends. Boards cost $10/ft along the curved ends and $5/ft along the

A hockey rink is to be constructed with a rectangular middle and semicircle ends. Boards cost $10/ft along the curved ends and $5/ft along the straight part. If the total area of the hockey rink is 1000 ft2, what should the dimensions of the rink be to minimize the cost?

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