Question: Suppose a cost-benefit model is given by where (x) is the cost (in thousands of dollars) of removing x percent of a certain pollutant from

Suppose a cost-benefit model is given by f(x) = 18x 106 x

where ƒ(x) is the cost (in thousands of dollars) of removing x percent of a certain pollutant from an area stream.
(a) Find the rate of change of the cost with respect to the percent of pollution removed.
(b) Find and interpret the rate of change of cost when 75% of the pollution is removed.
(c) Find and interpret the rate of change of cost when 90% of the pollution is removed.
(d) Find and interpret the rate of change of cost when 95% of the pollution is removed.

f(x) = 18x 106 x

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