business calc
posted by Anonymous
the marginal cost function for a manufacturing company is given by dollars per box,c'(q)=q^210q+30 where q is the number of boxes manufactured. If , find the total cost of manufacturing 10 boxes. Round to the nearest dollar.

Steve
the total cost is the integral of the marginal cost. So, it is
∫[0,10] (q^210q+30) dq = 400/3
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