Find all the local maxima, local minima, and saddle points of the function.\\
$f(x,y) = \sqrt{56x^2 - 9y^2 - 16x - 31 + 1 - 8x}$\\
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.\\
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.)\\B. There are no local maxima.