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Equilibrium harvest and maximum harvest.

Find the maximum harvest from a population following the discrete time dynamical system:
N_t+1 = _rN_t(1 - N_t) - hN_t
If r = 1.5

a.Find the equilibrium population as a function of h. What is the largest h consistent with a positive equilibrium?

b.Find the equilibrium harvest as a function of h.

c.Find the harvesting effort that maximizes harvest.

d.Find the maximum harvest.

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Solution Attachment

Solution document is in Word format