The rabbit population on a small island is observed to be given by the function

P(t) = 140t − 0.3t4 + 1000

where t is the time (in months) since observations of the island began.

(a) When is the maximum population attained (Round your answer to one decimal place.)

___________months.

(b) When does the rabbit population disappear from the island? (Round your answer to one decimal place.)

___________ months.