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 cents per square centimeter and the cost of the material for the sides is 0.10 cents per square centimeter. Determine the dimensions of the bin that will minimize the cost of manufacturing. What is the minimum cost? Give your answer in dollars, rounded to the nearest cent.