Apply a second derivative to identify a critical points as a local maximum, local minimum or saddle point for a function. You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 450 cm³. The material for the base of the box costs 7 cents/cm² and the material for the sides of the box costs 7 cents/cm². Find the dimensions for a box that will minimize the cost of the materials used to construct box. Please show your answers to at least 4 decimal places. width: height: cm cm

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