In constructing an open rectangular box from 588 ft of material, what dimensions will result in a box of maximum volume? Let x be the length of the box, let y be the width of the box, and let z be the height of the box. What is the equation that represents the total surface area of the box? Assume that the box is open on top. What are the dimensions of the box? x= ft, y = ft, z = ft (Simplify your answers.)

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