If this is a home work assignment, my hunch is to solve the problem on your own, for conscience sake at least.

What's a FONC????

You can solve nonlinear optimization using WinQsB solver.

Do you mean numerically? Then solving the Lagrange or Karush-Kuhn-Tucker equations directly is far from making sense. And (if possible at all) analytically will

need some tricks of your own (or told in the lecture).

For numerical work you should consult a modern textbook.