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    Optimization: Finding the minimum amount of fencing using implicit differentiation.

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    The management of a large store wishes to add a fenced-in storage yard of 20,000 square feet, using the building as one side of the yard. Find the minimum amount of fencing that must be used to enclose the remaining 3 sides of the yard.

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    Solution Preview

    We can assume the length of the two equal sides is x, and the remaining side is y.
    Then the total length of the three sides are: C=2x+y
    and its area is S=x*y=20000
    our question is now: Min C=2x+y with constraint: ...

    Solution Summary

    Implicit differentiation is used to solve an optimization problem.