Given the IDF curve below for a $32km2$ bare soil area, the peak runoff generated from a $20-$minute storm that occurs every $20$ years is nearly:

a$)76\mathrm{.}73\frac{m^3}{sec}$

b$)126\mathrm{.}77\frac{m^3}{sec}$

c$)116\mathrm{.}76\frac{m^3}{sec}$

d$)106\mathrm{.}75\frac{m^3}{sec}$

e$)$ None of the above

Note: $C$ for bare soil is $0\mathrm{.}4)$