OptimizationOpen-top box An open-top rectangular box is

Chapter 4, Problem 93PE

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Problem 93PE

Optimization

Open-top box An open-top rectangular box is constructed from a 10-in.-by-16-in. piece of cardboard by cutting squares of equal side length from the corners and folding up the sides. Find analytically the dimensions of the box of largest volume and the maximum volume. Support your answers graphically.

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