Given an Initial Population $P _ { 0 } = 100,000$

Multiple Choice

Given an initial population, $P _ { 0 } = 100,000$ , a renewal rate, R = 2,000, and a survival function, $S ( t ) = e ^ { - .05 t }$ , with time t measured in years, determine the population at the end of 10 years.

A) $4,000 + 100,000 e ^ { - 0 .5 }$
B) $96,000 + 4,000 e ^ { - 0.5 }$
C) $100,000 \left( 1 + 20 e ^ { - 0.5 } \right)$
D) $40,000 + 60,000 e ^ { - 0.5 }$