To clarify this is for an economics course.
$$ x \in \mathbb R^n $$ For a firm with two outputs with cost function where
$$ C(q)=q_1^2+q_2^2+10 $$ given output levels $q=(q_1,q_2) \ge 0$.
If output prices given and fixed, find profit maximizing solution.
I tried to find the global max, but ended up with global min at $(0,0)$, and am not sure how to proceed given just this one equation. Any help would be greatly appreciated.