# Question

Consider the following nonlinear programming problem:

Maximize f(x) = x1 + x2,

Subject to

x21 + x22 ≤ 0.

(a) Verify that this is a convex programming problem.

(b) Solve this problem graphically.

Maximize f(x) = x1 + x2,

Subject to

x21 + x22 ≤ 0.

(a) Verify that this is a convex programming problem.

(b) Solve this problem graphically.

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