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Problem 2 posted on Apr 22. (10 points). Solve the following equality-constrained optimiza- tion problem using Newton descent algorithm with the initial point (1,4,0): min f(x, y, z) = c + 2y2 + 322 2,4,2 subject to x - 5z = 1 y + z = 4 Compute the optimal dual variables as well.