4. Suppose the biological mechanics for a fishery are given by the equation F(X) = aX - bX2, where X is the biomass, and a and b are constant biological parameters. a) What is the maximum sustainable yield biomass (XMSY)? b) What is the biological carrying capacity if there is no harvesting (K)? Suppose harvesting costs nothing and is always equal to H tons per year (H < XMSY). c) Show on a diagram the bionomic equilibrium and explain how a steady-state equilibrium will occur starting from (i) the no- harvesting equilibrium; and (ii) a point to the left of XMSY. |

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