The allowable column load $)$ in tons on a square foundation of width $(B)$ in feet is given by the set of equations:

$Q_{\text{a}\text{l}\text{l}\text{o}\text{w}}=\frac{c{F}_{cs}{F}_{cd}{N}_c}{FS}{B}^2,$

$F_{cs}=1+\frac{N_q}{N_c},$ and

$F_{cd}=1+0\mathrm{.}4\frac{D_f}{B}.$

For this problem use the bisection method to find the optimal foundation width $($to the nearest $1$ in$)$ when the footing is subjected to a column load of $100$ ton. Assume that: $FS=3,c=1200psf,D_f=3ft,N_q=1,$ and $N_c=5\mathrm{.}14.[$Course Objectives: #$1,$ #$2,$ and #$5]$

Please show me in Jupyter lab!!