Explain the difference between a stable and an unstable equilibrium in the population of a fishery. Use the graph paper provided to illustrate the answer. Show the maximum sustained yield on the graph.
An equilibrium is viewed as stable (for straightforwardness we will consider asymptotic strength just) if the framework consistently comes back to it after little unsettling influences. On the off chance that the framework moves from the equilibrium after little aggravations, at that point the equilibrium is unstable.
Equilibrium that is reestablished whenever disturbed by an outer power. Most financial models have harmony that is steady, mirroring the perception that this present reality adjusts to changes and keeps up a reasonable level of security. The option in contrast to a steady harmony is an insecure balance.
A steady harmony exists if a model or framework floats back to balance after it is stunned. The similarity is much similar to a marble resting at the base of a bowl. Should the marble be bumped a piece up one side of the bowl, it returns, in the long run stopping at the base by and by.
The complexity to stable equilibrium is shaky equilibrium. The first market equilibrium is temperamental if a lack makes the value fall, instead of rise, and a surplus makes the value rise, as opposed to fall. For this situation, the cost development expands the deficiency or excess, moving the market more distant away from equilibrium.

Maximum Sustainable yield (MSY) is hypothetically, the biggest yield (or catch) that can be taken from an animal groups' stock over an inconclusive period. Crucial to the idea of supportable reap, the idea of MSY plans to keep up the populace size at the purpose of most extreme development rate by collecting the people that would typically be added to the populace, enabling the populace to keep on being profitable uncertainly.

Sustainable yield (or pace of populace development) versus populace size for the populaces diagramed in Figure. Note that a huge populace and a little populace will have the equivalent supported yield since they develop at a similar rate. Greatest Sustained Yield (MSY) happens at populace size K/2.

Explain the difference between a stable and an unstable equilibrium in the population of a fishery....
Explain the difference between the economically optimal harvest, the maximum sustained yield, the open-access equilibrium for a fishery. Illustrate the answer with a graph showing a marginal cost curve and a marginal revenue curve. Clearly label both axes.
Discuss and graphically illustrate. Why is there a difference between the maximum sustained yield and the economically efficient sustained yield?
Find the equilibria of the difference equation and classify them as stable or unstable. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) 7x,? x2 + 10 X0 = 1, xo = 3 X+ +1 = stable unstable Use cobwebbing to find lim x, for the given initial values. lim x, Xo 3
why is there a difference between the maximum sustained yield and the economically efficient sustained yield.
For a complex plane, draw which side is stable versus unstable, explain when oscillation occurs and the relationship between distance from x-axis and speed.
1 (c) (12 pts) Consider the logistic equation IP 3 Use phase portrait analysis to classify the equilibrium solutions as asymptotically stable, 10 unstable or semi-stable. (ii) Find the general solution to the ODE. (The solution may be expressed in implicit form.)
1 (c) (12 pts) Consider the logistic equation IP 3 Use phase portrait analysis to classify the equilibrium solutions as asymptotically stable, 10 unstable or semi-stable. (ii) Find the general solution to the ODE. (The solution may be...
Explain fully the difference between an increase in demand and an increase in quantity demanded. Be sure to explain increase, not change or decrease. Provide at least four reasons for an increase in demand. Use appropriate graphs to illustrate your answer. Compute the price elasticity of demand if price increases from $10 to $12 and quantity demanded falls from 600 to 400. Use the value obtained and a specific example to determine whether price must be increased or decreased to...
4. In class you discussed a model for fishery management based on the logistic equation with a parameterization of harvesting, N =EN (1-)-mN, N(0) = No where m is the fishing rate ("m" for mortality). With m = 0, there are two fixed points: Ni = 0 (unstable) and N = K (stable). With m > 0, the second fixed point becomes N = K(1 - m/r) <K (a) At what critical fishing rate, me, will the population die out?...
5. Explain the difference between a Nash equilibrium and a dominant strategies equilibrium. Give an example to show how the prisoners' dilemma helps to explain behaviour. 6. Why might a firm set prices based on a markup above average cost rather than equalising marginal costs and marginal benefits? 7. Using a diagram, explain how an external cost of production (i.e. a negative production externality) can be internalised with a tax. |8. Explain the conditions of price discrimination. Give two examples...
Bear population graph given below
500 400 new population 200 100 200 400 600 800 old population (a) What are the equilibria? (b) Identity each equilibrium above as stable or unstable. (c) If the initial population P 800 bears, use cobwebbing to estimate P and P after one and two years. (d) Sketch the graph of the solution (population as a function of time).