Posted by Dele on Monday, October 14, 2013 at 8:18am.
1. Cost Benefit Model
Environmental scientists often use costbenefit 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/100x
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 $225 million to clean up the lake, what percent of the pollutants can be removed?

Math, Algebra  Reiny, Monday, October 14, 2013 at 12:46pm
The domain would be any positive value of x < 100
(at x=100 or to completely remove the pollutants, we would be dividing by zero, which is undefined)
a) to remove 90% , let x = 90
C(90) = 25(90)/(10090) = 225
b) 100 = 25x/(100x)
10000100x = 25x
125x = 10000
x = 80
c) wasn't that the answer from a) , so .....
Answer This Question
Related Questions
 Intermediate Algebra  Environmental scientists often use costbenefit models to...
 Intermediate Algebra  Environmental scientists often use costbenefit models to...
 Math  Suppose a costbenefit model is given: y= 5x/105x Where y is the cost in...
 Algebra  Suppose a costbenefit model is given by y=2771x/100x, where y is the...
 Managerial Economics  Assume the only choice variable is total benefit function...
 Algebra  1. The cost, in millions of dollars, to remove x % of pollution in a ...
 ALGEBRA  1. The cost, in millions of dollars, to remove x % of pollution in a ...
 ALGEBRA 117  1. The cost, in millions of dollars, to remove x % of pollution in...
 math  The cost, in millions of dollars to remove x% of pollution modeled by c=...
 Algebra  Assume it costs Microsoft $4,300 to manufacture 7 Xbox 360s and $8,290...
More Related Questions