Per capita production is 2.0bt (1 - bt / 1000). Consider values of bt less than 1000.

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Per capita production is 2.0bt (1 - bt / 1000). Consider values of bt less than 1000.
In a model of a growing population, we find the new population by multiplying the old population by the per capita production. For each case, find the second derivative of the new population as a function of the old population and sketch a graph.
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