Consider the feasible region of Exercise 8 and the objective function \(f=3 x_{1}+2 x_{2}\). Beginning at a point \(\left(x_{1}, x_{2}\right)\) in the feasible region, in what direction does \(f\) increase most rapidly? If we begin at \((0,0)\) and move through the interior of the feasible region in the direction of most rapid increase of \(f\), at what point on the boundary do we land?