Consider the following problem: 1. 2. 3. 4. 5. max xy + xz+yz x + y +z 1 Write the problem in standard form. Let be the KKT multiplier related to this minimization problem. Prove that u=22 is a eigenvalue of the following matrix: {}} 0 1 1 101 1 1 0 Deduce the value of . Find two points that satisfy the first order condition of the standard form problem. Prove that these points also satisfy the second order condition, so that they are minimum points of the standad form problem.