Question: Classify the critical points for the following nonlinear programming problem as mini- mizers, maximizers, saddles, or explain why you cannot classify the point. min

Classify the critical points for the following nonlinear programming problem as mini-

Classify the critical points for the following nonlinear programming problem as mini- mizers, maximizers, saddles, or explain why you cannot classify the point. min f(x1, x2, x3) = 3x + 4x + x - 9x1x2x3 (Remember: eigenvalues can provide better information than using leading principle minors. Feel free to use MATLAB or other software to find the eigenvalues.)

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