Maximize Volume of a Box
Optimization Problem
How to maximize the volume of a box using the first derivative of the volume. Volume optimization problem with solution.
Problem 1: A sheet of metal 12 inches by 10 inches is to be used to make a open box. Squares of equal sides x are cut out of each corner then the sides are folded to make the box. Find the value of x that makes the volume maximum.
Solution to Problem 1:
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