Suppose a population P$($t$)$ satisfies

dPdt$=0\mathrm{.}4$P$0\mathrm{.}001$P$2$P$(0)=50$wheretismeasuredinyears

What is the population after $10$ years?

Group of answer choices

$354\mathrm{.}54$

$400\mathrm{.}13$

$70\mathrm{.}27$

None of these