Ariel, a Marine Biologist, Models a Population P of Crabs $\mathrm { P } ( \mathrm { t } ) = - 0.00003 \mathrm { t } ^ { 3 } + 0.008 \mathrm { t } ^ { 2 } + 3.5 \mathrm { t } + 600$

Multiple Choice

Ariel, a marine biologist, models a population P of crabs, t days after being left to reproduce, with the function $\mathrm { P } ( \mathrm { t } ) = - 0.00003 \mathrm { t } ^ { 3 } + 0.008 \mathrm { t } ^ { 2 } + 3.5 \mathrm { t } + 600$ . Assuming that this model continues to be accurate, when will this population become extinct? (Round to the nearest day.)

A) 707 days
B) 911 days
C) 1512 days
D) 547 days