A rectangular footing of size $4$m x $6$m is found at a depth of $2\mathrm{.}5$ m in a very stiff clay stratum with

c

$=(125)$ kPa;

$=27$; sat $=19$ kN$/$m$3$

overlying a softer clay stratum with

c

$=(15)$ kPa;

$=18$; sat $=20$ kN$/$m$3$

at a depth of $5$ m from the ground surface. The ground water table is located at the ground surface.

Estimate the long$-$term safe load carrying capacity of the rectangular footing.