Question

The number of mosquitoes in millions in a certain area, M(x), depends on the June rainfall in inches, x, approximately as follows

M(x)=10x-x^2
1. find the rainfall that will produce the maximum number of mosquitoes.
2.What is the maximum number of mosquitoes?

Answer 1

first one is asking for what x will m(x) be maximized

Answer 2

m' = 10-2x = 0
x = 5

Answer 3

plug that back into the original:
M(5) = 50-25 = 25