Assignment:
Cost Benefit Model
Environmental scientists often use cost-benefit models to estimate the cost of removing a pollutant from the environment as a function of the percentage of pollutant removed. Suppose a cost benefit function for the cost C (in millions of dollars) of removing x percent of the pollutants from Maple Lake is given by
C(x) = 25x / 100 - x
a. Find the domain and interpret what it means within the text.
b. If federal government wants to remove 90% of the pollutants, how much should the budget be ?
c. If federal government budgets $100 million to clean up the lake, what percent of the pollutants can be removed?
d. If federal government budgets is at least $225 million to clean up the lake, what percent of the pollutants can be removed? (At least means more than 0or equal to).
Provide complete and step by step solution for the question and show calculations and use formulas.