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Gloria would like to construct a box with volume of exactly 60ft^3 using only metal and...

Gloria would like to construct a box with volume of exactly 60ft^3 using only metal and wood. The metal costs $11/ft^2 and the wood costs $5/ft^2. If the wood is to go on the sides, the metal is to go on the top and bottom, and if the length of the base is to be 33 times the width of the base, find the dimensions of the box that will minimize the cost of construction. Round your answer to the nearest two decimal places.

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