For my class, I was given a hypothetical situation that uses the concept of Maximum Sustainable Yield to see how much fish I should harvest. I am given an initial population, a growth rate, and a carrying capacity.
Then with these given values, I was supposed to use this information to calculate for next year's population which I easily did with the logistic growth formula. I got a population of 368 (which is obviously rounded to a whole number). From what I know, with this initial population of 368 that I calculated, it would a bit over the one-half capacity but not over the carrying capacity of the environment that was given to me.
At this point, I don't know how to apply the Maximum Sustainable Yield concept here. I am not sure on how much I should harvest this year if the current fish population is 368. I don't want to harvest all 368 fish because that would mean that I wiped out the entire population for this year, correct? So would it make sense if I harvested half this number while still have enough fish for next year?
I tried to look at this graph I found as a reference but I'm not too sure how to apply it:
If I am made a misstep in my process, please do share. Thank you!