Consider the following nonlinear programming problem:
Minimize Z = 2x1 + x22,
subject to
x1 + x2 = 10 and
x1 ≥ 0, x2 ≥ 0.
(a) Of the special types of nonlinear programming problems described in Sec. 13.3, to which type or types can this particular problem be fitted? Justify your answer.
(b) Obtain the KKT conditions for this problem.