$|$How much will a PE fund manager earn in management fees during the life of a fund if $($i$)$ it raised $$10$B$,($ii$)$ has an investment period of $4$ years, $($iii$)$ charges a $1\mathrm{.}75\%$ management fee, and $($iv$)$ has a term$$of$10$years$?$

a$.$

$$1\mathrm{.}75$B

b$.$

$$1\mathrm{.}40$B

c$.$

$$700$M

d$.$

$$2\mathrm{.}00$B