The population of salmon next year is given by f ( S ) = S e r ( 1 - S / P) , where S is this year's salmon population, P is the equilibrium population, and r is a constant that depends upon how fast the population grows. Find f ' ( S0 ) and solve the equation f ' ( S0 ) = 1, using a calculator to find the intersection of the graphs f ' ( S0 ) and y = 1.  Find the population for which the maximum sustainable harvest occurs if r = 0.4 and P = 400. Do not round the answer

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The population of salmon next year is given by

f ( S ) = S r ( 1 - S / P) ,

where S is this year's salmon population, P is the equilibrium population, and r is a constant that depends upon how fast the population grows.

Find f ' ( S0 ) and solve the equation f ' ( S) = 1, using a calculator to find the intersection of the graphs f ' ( S0 ) and y = 1. 

Find the population for which the maximum sustainable harvest occurs if r = 0.4 and P = 400.

Do not round the answer.

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