Assignment:
The cost in dollars of removing p% of the pollutants from the water in a small lake is given by:
C = 125,000 p / 100 – p
Where 0 ≤ p < 100, C is the cost, and p is the percentage of pollution removed.
(a) Find the cost of eliminating 40% of the pollution in the lake
(b) If the company agrees to apply $500,000 to the process of cleaning up the lake, what percent of the pollution can be removed?
(c) As p tends to 100% what happens to the cost of cleaning up the pollution?
Provide complete and step by step solution for the question and show calculations and use formulas.