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Gloria would like to construct a box with volume of exactly 55ft3 using only metal and...

Gloria would like to construct a box with volume of exactly 55ft3 using only metal and wood. The metal costs $14/ft2 and the wood cost $5/ft2. 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 3 times the width of the base, find the dimensions of the box that will minimize the cost of construction. Round your answe to the nearest two decimal places.

Length=

Width=

Height=

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