$($Local Max$/$Min$)*$

Consider the following functions.

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

$g(x,y)=x^2-xy{y}^{2}9x-6y10$

$f$ 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 is $abcd?$

$(1)4$

$(2)5$

$(3)6$

$(4)7$

$(5)8$

$(1)$

$(2)$

$(3)$

$(4)$

$(5)$

$4.($Local Max$/$Min$)*$