How do you solve this word problem?
A rare species of aquatic insect was discovered in the Amazon rainforest. To protect the species, environmentalists declared the insect endangered and transplanted the insect to a protected area. The population P (in thousands) of the insect in t months after being transplanted is P(t)=50(1+0.05t)/2+0.01t
A. Determine the number of months until the insect population reaches 40 thousand.
B. What is the limiting factor on the insect population as time progresses? Explain your answer.