Question: Write the equation for the optimal prey density (the value giving the maximum rate of prey capture) in terms of F'(p). Find the optimal prey

Write the equation for the optimal prey density (the value giving the maximum rate of prey capture) in terms of F'(p). Find the optimal prey density if F(p) = p. Make sure to separately consider cases with c < 1 and c > 1.
Now suppose that the number of prey that escape increases linearly with the number of prey (the prey join together and fight back). Let p be the number of prey and F(p) be the functional response. The number of prey captured is then F(p) - cp. The constant c represents how effectively the prey can fight.

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