Question: Consider the following nonconvex programming problem. Maximize f(x) = x3 60x2 + 900x + 100, subject to 0 x 31. (a) Use

Consider the following nonconvex programming problem.
Maximize f(x) = x3 – 60x2 + 900x + 100,
subject to 0 ≤ x ≤ 31.
(a) Use the first and second derivatives of f(x) to determine the critical points (along with the end points of the feasible region) where x is either a local maximum or a local minimum.
(b) Roughly plot the graph of f(x) by hand over the feasible region.

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