MATH 450 Final

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MATH 450

Final

Q 1: Solve the following problem:

Q.2 Solve the following problem:

Q. 3 (a) Find the solution of the following problem:

(b) Consider the problem

S.T.


Determine whether the constraint qualification and the Kuhn-Tucker conditions are satisfied at the optimum point.

Q.4 If the following function is globally convex and has a unique minimum at  x* = [1    1].

Find the minimum point by applying Ellipsoidal Algorithm with three different initial ellipses.

Q.5 By using a graphical method, solve the following optimization problem:





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