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)
This solution discusses cost-benefit models used by environmental scientists.