Volume a rectangular box with a square base is to be formed, Operation Management

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Volume a rectangular box with a square base is to be formed

Volume a rectangular box with a square base is to be formed from a square piece of metal with 12-inch sides.

If a square piece with side x is cut from each corner of the metal and the sides are folded up to form an open box, the volume of the box is

V = (12 - 2x)²x.

What value of x will maximize the volume of the box?

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Operation Management: Volume a rectangular box with a square base is to be formed

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Operation Management: Volume a rectangular box with a square base is to be formed

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