Question: You have been asked to design a rectangular box with a square base and an open top.The volume of the box must be 620cm3. The

You have been asked to design a rectangular box with a square base and an open top.The volume of the box must be 620cm3. The cost of the material for the base is $0.40 per square centimeter and the cost of the material for the sides is $0.10 per square centimeter. Determine the dimensions of the box that will minimize the cost of manufacturing. What is the minimum cost? Give your answer in dollars, rounded to the nearest cent.

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