Consider a box with sides x, y, and z, and fixed volume xyz = V. (a) Without
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Consider a box with sides x, y, and z, and fixed volume xyz = V.
(a) Without using Lagrange multipliers, find the minimum surface area (the sum of the areas of all 6 faces) of a box with volume V. What is the shape of this optimal box? Confirm that your solution is indeed a local minimum using the second derivative test.
(b) Find the minimum surface area and shape of a box that is open at the top (so only has 5 faces).
Related Book For
Fundamentals of Investments
ISBN: 978-0132926171
3rd edition
Authors: Gordon J. Alexander, William F. Sharpe, Jeffery V. Bailey
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