Question: 4. Consider the following problem min x x, CERn s.t. x 2 0 and Ax = b, where A E RIXn, b E R are

4. Consider the following problem min x x, CERn s.t. x 2 0 and Ax = b, where A E RIXn, b E R are given. (a) What is the Lagrangian function? (b) Find the dual problem. (c) Under which condition the strong duality holds? (d) Assume the strong duality holds. What is the KKT condition

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