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Hint 1

A utility company burns coal to generate electricity. The cost, $\displaystyle {C}{\left({p}\right)}$ , (in dollars) of removing $\displaystyle {p}$ percent of the smoke stack pollutants is given by $\displaystyle {C}{\left({p}\right)}=\frac{{{90000}{p}}}{{{100}-{p}}}$ .

a) Find the cost to remove 65% of the pollutants.

b) Find where the function is undefined.

c) Interpret the meaning of the vertical asymptote.

As the company attempts to remove higher amounts of the pollutants, the cost rises, and they'll never have enough money to remove 100% of the pollutants.
As the company attempts to remove higher amounts of the pollutants, the cost rises, but the maximum they'll pay to remove 100% of the pollutants is $90,000.
As the company attempts to remove higher amounts of the pollutants, the cost decreases, and they will successfully be able to remove 100% of the pollutants.

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