Amodel used for the yield y of an agricultural crop as a function of the nitrogen level n in the soil ) (measured in appropriate units) is y = (kn) / (1 + n2) where k is a positive constant. what nitrogen levels gives the best yield?

A nitrogen level of 1 gives the best yield.

Step-by-step explanation:

We are given the following:

Yield Y of an agricultural crop as a function of the nitrogen level N in the soil

First, we differentiate Y(N) with respect to N, to get,

Equating the first derivative to zero, we get,

Solving, we get,

Again differentiation Y(N), with respect to N, we get,

At N = 1

Thus, by double derivative test, the maximum value of Y(N) occurs at N = 1.

Thus, largest yield of crop is given by:

Y(1) =

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)