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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]r .
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: