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OpenStudy (anonymous):
You are building a rectangular doorway. The doorway must be at least 1 meter high and at least 0.5 meters wide. It must also enclose a door with area 2.5 m2 . The material for the sides of the doorway cost $30 per meter and the material for the top of the doorway costs $50 per meter. The bottom of the doorway requires no material. What is the cheapest you can build the doorway?
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