(Solved): The lynx population on a small island is observed to be given by the function P(t)=120t0.4t4+10 ...

The lynx population on a small island is observed to be given by the function $$P(t)=120t?0.4t^4+1000$$ where $$t$$ is the time (in months) since observations of the island began. Note: you can get a larger view of the graph by clicking on it (a) The maximum population attained at $$t=$$ months. The maximum population is $$P(t)=\mathrm{lyn}x.$$ ,