Charles Darwin observed that several species of finches native to the Galapagos islands seemed to have evolved so that their beak lengths, as well as how pointy their beaks are, were adapted to their particular environment. The following function has been proposed as a model for the fitness of these birds: 7 f(L,P) =L2-L4+6P 3p 14L p, where L represents beak length and P represents beak pointiness. (a) This function has critical points at (L, P) = (0, 0), (1, 0), (0, 1), and (0.6, 0.4). Classify each of these critical points as a local maximum, local minimum, or saddle point.