Find all the local maxima, local minima, and saddle points of the function. f(x,y) = - 4x2 - 7xy - 8y2 - 72x - 142y + 8 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. A local maximum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The local maximum value(s) is/are (Type an exact answer. Use a comma to separate answers as needed.) O B. There are no local maxima. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. O A. A local minimum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The local minimum value(s) is/are (Type an exact answer. Use a comma to separate answers as needed.) O B. There are no local minima. Find the saddle points. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. A saddle point occurs at (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no saddle points