Consider the following NLP: max 20+ 2x1X2 + x% - 10x1 - 10x2 s.t. a+x 0 1 (a) Aside from regularity and the given constraints, what are the first order necessary conditions for this problem? (Be as...

Extracted text: Consider the following NLP: max 20+ 2x1X2 + x% - 10x1 - 10x2 s.t. a+x < 5="" 3x1="" +="" x2="">< 6="" x1,="" 02=""> 0 1 (a) Aside from regularity and the given constraints, what are the first order necessary conditions for this problem? (Be as specific as possible.) (b) Find a solution by assuming the first Lagrangian multiplier constraints is active and the second one is inactive. (c) Does this satisfy the first order necessary conditions? Explain.