A column foundation is $3m2m$ in plan. Given: $D_f=1\mathrm{.}5m,{}^{\text{'}}=30,c^{\text{'}}=80k\frac{N}{m^2}.$ Using the general bearing capacity equation $($Using formulations from CFEM with cohesion term$)$ and $=0\mathrm{.}5,$ determine the factored bearing capacity of the foundation $($i$.$e$.-$ use $).$ Use ${}_w=9\mathrm{.}81k\frac{N}{m^3}.$ Also, determine the maximum factored load for the column.