Question: 2 Consider the optimization problem m i n i m i z e x 2 + x y + y 2 - 2 y subject

2
Consider the optimization problem
minimizex2+xy+y2-2y
subject tox+y=2
Find the optimal solution analytically using Lagrange mulitpliers. Next find the optimal solution using
Newton's algorithm with quadratic penalty function and verify your result using Matlab fmincon() or
Python scipy.optimize().
2 Consider the optimization problem minimizex2+xy+y2-2y subject tox+y=2 Find the optimal

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