The Filthy Chemical Company dumps 100 tons of pollutants every year in the Pristine Lake. The Trout Fishing Co., the only other user of the lake,estimates that if Q tons of pollution were cleaned up every year its profits would rise according to the relation Filthy estimates it can clean the pollutants at constant average costs of $2 per ton. (a) In the interest of efficiency, how much pollution should be cleaned up every year? (b) Suppose Filthy bought Trout. How much would it clean up? What if Trout bought Filthy?

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