Find all the local maxima, local minima, and saddle points of the given function. f(x,y)=x+xy+y+6x-6y+7 Select the correct choice below and fill in any answer

Find all the local maxima, local minima, and saddle points of the given function.

f(x,y)=x²+xy+y²+6x-6y+7

Select the correct choice below and fill in any answer boxes within your choice.

A. There are local maxima located at

B. There are no local maxima.

A. There are local minima located at

B. There are no local minima.

A. There are saddle points located at