Question: A designer of custom boxes charges based on the amount of material used to create the box. To minimize cost, a customer decides a box

A designer of custom boxes charges based on the amount of material used to create the box. To minimize cost, a customer decides a box made from 12 square feet of material will be sufficient for a particular project. Additionally, the box should be designed so that the width is twice the length. The customer requires that the box have maximum volume. What dimensions will give the box a maximum volume?

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