Question: 1. (55 points) Consider the following problem; max f(x ,x) = -x - x subject to (x1 - 1)2 x a. (10 points) Check constraint

1. (55 points) Consider the following problem;

1. (55 points) Consider the following problem; max f(x ,x) = -x - x subject to (x1 - 1)2 x a. (10 points) Check "constraint qualification". b. (20 points) Find the solution of this problem. c. (10 points) Check whether the solution is global or local. d. (10 points) Try to find the max through FoC of Lagrange. 1. (55 points) Consider the following problem; max f(x ,x) = -x - x subject to (x1 - 1)2 x a. (10 points) Check "constraint qualification". b. (20 points) Find the solution of this problem. c. (10 points) Check whether the solution is global or local. d. (10 points) Try to find the max through FoC of Lagrange

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