olem 5: Consider the following constrained nonlinear program max ln x₁ + ln x₂ 2x1 + x2 ≤ 4, x1, x2 > 0. s.t. Compute the Hessian matrix of the objective function and use it to show that the objective function is jointly concave (a function f is concave if and only if -f is convex) in ₁ and ₂ Find a point (1, 2) that satisfies the KKT conditions. |

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