Question: 1) This problem deals with the following quadratic programming problem: Minimize X 1 + 5X 2 + 1/2X 2 2 Subject to:1

1) This problem deals with the following quadratic programming problem: Minimize X1 + 5X2 + 1/2X22

Subject to:11< 4

0< X2< 5

X1 + 2X2 = 10

(a) Write this problem in the following vector matrix format: Minimize CTX + 1/2XTQX

Subject to: Ax

(b) Write the Lagrangian function for this problem.

(c) Determine the KKT conditions for this problem.

(d) Show that the solution x =(43)T satises the KKT conditions

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