Question

The cost in dollars for removing p percent of pollutants from a river in Smith County is?
C(p) = 78600p/100-p

Find the cost of removing 20%.
Find the cost of removing all but 5% of the pollutants.
What is the smallest value p can be?
What is the largest integer value p can be?

Answer 1

A) let p = 0.2 --> C(p) = 157.52
B) let p = 0.95 --> C(p) = 753.86
C) smallest p value that gives C(p) > or = 0. This is p = 0
D) largest INTEGER value for C(p) to exist or be >=0. This is p = 99.
p = 100 gives 786000/0; does not exist. p > 101 starts giving negative numbers.