In a species of fish, the growth rate function is given by: G(x)=0.5x(1-x/K) where K=6000 metric tons ( the population of fich is measured in metric tons rather than number of individuals).
The price a fisher can get is p=600$ per metric ton.
If the amount the fisher can harvest is determined by the function H=hx, where each unit of h costs c=250$, what is the maximum amount of money the fisher can expect to make on a sustainable basis?
( Hint: the fisher's sustainable income is given by pH-ch , where H ia a sustainable harvesting rate)