Question

cities and companies find that the cost of pollution control increases along with the percentage of pollutants to be removed in a situation. suppose that the cost c, in dollars, of removing p% of the pollutants from a chemical spill is given below. complete parts (a) through (d).

c(p) = \frac{32000}{100 - p}

(a) find c(0), c(20), c(80), and c(90).

c(0) = $ 320 (round to the nearest whole number as necessary. simplify your answer.)

c(20) = $ 400 (round to the nearest whole number as necessary. simplify your answer.)

c(80) = $ (round to the nearest whole number as necessary. simplify your answer.)

Explanation:

Step1: Substitute \( p = 80 \) into the formula

We have the cost function \( C(p)=\frac{32000}{100 - p} \). When \( p = 80 \), we substitute \( p \) into the formula: \( C(80)=\frac{32000}{100 - 80} \).

Step2: Simplify the denominator

First, calculate \( 100-80 = 20 \). So the formula becomes \( C(80)=\frac{32000}{20} \).

Step3: Perform the division

\( \frac{32000}{20}=1600 \).

Answer:

\( 1600 \)