Maximum sustainable yield is achieved at:
In the ideal logistic model, maximum sustainable yield occurs at K/2 because natural population production dN/dt is greatest there. Harvesting approximately that surplus could, in theory, maintain abundance while removing the largest annual increment. Real management is less certain because K and r vary, populations have age structure, and measurement error can turn a theoretical maximum into overharvest. Logistic predictions depend on assumptions that managers should not overlook. Carrying capacity changes with habitat and climate, and removing individuals may alter age structure, social orga
Ref: Ecology: Concepts and Applications, Molles, 9th Ed., Ch. 11