posted by Anonymous

the marginal cost function for a manufacturing company is given by dollars per box,c'(q)=q^2-10q+30 where q is the number of boxes manufactured. If , find the total cost of manufacturing 10 boxes. Round to the nearest dollar.

1. Steve

the total cost is the integral of the marginal cost. So, it is

∫[0,10] (q^2-10q+30) dq = 400/3

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