Marine fishery: 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...

Marine fishery: 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:

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(1.62) and explain what your answer means in practical terms. c. At what population size is the growth rate the largest?