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A utility company burns coal to generate electricity. The cost C (in dollars) of removing p amount (percent) of the smokestack pollutants is given by:
C=80,000 p/
(100 - p)
1. Is it possible for the company to remove 100 percent of the pollutants? Discuss
why or why not, and support your response by using algebraic analysis on the
given model. (Hint: Plug in p=100 into the equation)
2. What happens if the company does try to remove 100 percent of the pollutants?
Will the company be successful at doing so, or will the attempt end in failure,
that is, will it be to much expense for the company? (Hint: Plug in values close
to p=100 and see the estimated cost)
3. Draw a diagram to show what the consequences of the last question would be.
Lable the vertical asymptote(s) and analyze their impact on the company's
expense. (Hint: Graph the function first and then make an analysis out of it
