Question: Find the maximum and minimum values of the function f(x, y, z) = xyz subject to the constraint x + y +z = 400.

Find the maximum and minimum values of the function f(x, y, z)

Find the maximum and minimum values of the function f(x, y, z) = xyz subject to the constraint x + y +z = 400. Maximum value is 2370370 , occuring at 64000000/27 points (positive integer or "infinitely many"). Minimum value is , occuring at infinitely many points (positive integer or "infinitely many").

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