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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. |

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. |

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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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.
Transcribed Image Text: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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