A tank initially contains $125$ kg of water. At this time $,$a feed stream enters the tank with a mass flow rate of mi$=0\mathrm{.}5$e$^-0\mathrm{.}010$t$,$ where mi is in kg$/$ min and t is time in minutes. At the same time $,$ an outlet stream with mo$=0\mathrm{.}4$ kg$/$ min exits the tank.When the maximum water appears in the tank?

a$)22\mathrm{.}31$

b$)13\mathrm{.}94$

c$)183\mathrm{.}25$

d$)17\mathrm{.}37$

e$)80\mathrm{.}00$