?For the following exercises, set up and evaluate each optimization problem.To carry a

Chapter 4, Problem 315

(choose chapter or problem)

For the following exercises, set up and evaluate each optimization problem.

To carry a suitcase on an airplane, the length +width + height of the box must be less than or equal to 62 in. Assuming the height is fixed, show that the maximum volume is \(V=h\left(31-\left(\frac{1}{2}\right) h\right)^{2}\) . What height allows you to have the largest volume?

Text Transcription:

V=h(31-(1/2)h)^2

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