The von Bertalanffy model for the growth of an individual fish assumes that an
Chapter 4, Problem 22(choose chapter or problem)
The von Bertalanffy model for the growth of an individual fish assumes that an individual acquires energy at a rate that is proportional to its length squared, but that it uses energy for metabolism at a rate proportional to its length cubed. The underlying idea is that energy acquisition is proportional to a fishs surface area, while energy utilization for metabolism is proportional to its mass (and thus its volume). Suppose the net energy available for growth at any time is the difference between acquisition and utilization through metabolism. What is the length at which growth will be fastest, as a function of the constants of proportionality?
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