$(LocalMa\frac{x}{M}in)*$

Consider the following functions.

$f(x,y)=3xy-x^{2}y-x{y}^2$

$g(x,y)=x^2-xy+y^2+9x-6y+10$

$f$ has a number $of$ saddle points and $b$ number $of$ points that give local maxima.

$g$ has $c$ number $of$ saddle points and $d$ number $of$ points that give local minima.

What $isa+b+c+d?$

$(1)4$

$(2)5$

$(3)6$

$(4)7$

$(5)8$

$(1)$

$(2)$

$(3)$

$(4)$

$(5)$