Question

Q2) (20 pts) a. Reformulate the following constrained NLP to its unconstrained form using the Lagrange Multiplayer approach. Show the Lagrange function and derive the related equations for necessary conditions of optimality. Optimize Z = 4X1X2 + X1 Subject to: 2 x1x2 10 X2-2-0 b. Verify that the solution X1 and X2 5 satisfies the necessary condition of optimality. Hint: You need to determine the value of Lagrange variables.

Answer 1

le 4 L c s Lange 2 rg Gii) Gv) (Vi) dL 지+ (vii) .

7- (vii )う脳司 ant (b max imun)