# Optimality conditions: Restrictions Mixed (KKT)

Solve the following optimization problem:
Given $$p=(p_1,p_2)\geq0$$ and $$c_1<0$$, $$c_2>0$$\

max$$\{ p_1x_1+p_2x_2 : c_1\leq x_1\leq 0; 0\leq x_2\leq c_2\sqrt[]{-x_1} \}$$

I need an idea to solve the system