Ecology—Cost-Benefit Analysis: The cost-benefit function for removing a certain pollutant...

Ecology—Cost-Benefit Analysis: The cost-benefit function for removing a certain pollutant from the atmosphere is given by

where x represents the percentage of the pollutant removed and f(x) represents the associated cost in millions of dollars.

(a) Evaluate f(70) and interpret.

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(b) Complete the following table:

x	5	50	70	90	95
f(x)

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(c) Evaluatef(99.9) − f(95). This represents the approximate cost of removing the final 5% of the pollutant.

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(d) Why can we not compute f(100) − f(95) to get the actual cost of removing the final 5% of the pollutant?