Suppose the Critical Points of F(x,y) = 2x³ - 15x²

Multiple Choice

Suppose the critical points of f(x,y) = 2x³ - 15x² + 24x - y² - 6y + 1 occur at the points(1, -3) and (4, -3) .Then the function f has:

A) saddle points at (1, -3) and (4, -3)
B) a local minimum at (4, - 3) and a saddle point at (1, -3)
C) a local maximum at (1, - 3) and a saddle point at (4, - 3)
D) a local maximum at (4, -3) and a saddle point at (1, -3)
E) a local maximum at (4, -3) and a local minimum at (1, -3)