The rabbit population on a small island is observed to be given by the function P(t) = 130t − 0.4t^4 + 1200 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.)

What is the maximum population? (Round your answer to the nearest whole number.)

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

Question

The rabbit population on a small island is observed to be given by the function P(t) = 130t − 0.4t^4 + 1200 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.)

What is the maximum population? (Round your answer to the nearest whole number.)

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

anonymous · Answer

taking derivative and equating to zero 
t = 4.3312 months  where maximum exists
maximum population is  1622
in 8.7423 months population disappears