The monthly profit from the sale of a product is given by P = 32x - 0.2x^2 - 200 dollars. (a) What level of production maximizes profit? units (b) What is the maximum possible profit? $
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\[ \frac{dP}{dx} = 32 - 0.4x = 0 \] \[ 0.4x = 32 \] \[ x = \frac{32}{0.4} \] \[ x = 80 \] Show more…
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