Chapter 5.5, Problem 2E

Reminder Round all the answers to two decimal places unless otherwise indicated.

Sales Growth A class of models for population growth rates in marine fisheries assumes that the harvest from fishing is proportional to the population size One such model uses a quadratic function:

$G=0.3n-0.2n^2$.

Here $G$ is the growth rate of the population, in millions of tons of fish per year, and $n$ is the population size, in millions of tons of fish.

a. Make a graph of $G$ versus $n$. Include values of $n$ up to $1.7$ million tons.

b. Calculate $G\left(1.62\right)$ and explain what your answer means in practical terms.

c. At what population size is the growth rate the largest?