Question: Consider the following unconstrained nonlinear programming problem: min f(x1, x2) = x 2 1 + 2x 2 2 + e x1+x2 (a) What equations must

Consider the following unconstrained nonlinear programming problem: min f(x1, x2) = x 2 1 + 2x 2 2 + e x1+x2 (a) What equations must be satisfied for x to be a critical (stationary) point? (b) Explain why (0,0) is not a local optimizer. (c) Prove that f(x) is a convex function.

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