Appalachian Coal Mining believes that it can increase labor productivity and, therefore, net revenue by reducing air

Appalachian Coal Mining believes that it can increase labor productivity and, therefore, net revenue by reducing air pollution in its mines. It estimates that the marginal cost function for reducing pollution by installing additional capital equipment is

MC=40P

Where P represents a reduction of one unit of pollution in the mines. It also feels that for every unit of pollution reduction the marginal increase in revenue (MR) is

MR= 1,000 – 10P

How much pollution reduction should Appalachian Coal Mining undertake?

Thomas, C. & Maurice, S. (2011). Managerial economics: Foundations of business analysis and strategy
             (10th ed.). New York: McGraw-Hill