Can someone help me with this calculus question
Favorites|Homepage
Subscriptions | sitemap
HOME > > Can someone help me with this calculus question

Can someone help me with this calculus question

[From: ] [author: ] [Date: 11-12-09] [Hit: ]
where q is the reduction in emissions (in pounds of pollutant per day) and C is the daily cost to the firm (in dollars) of this reduction. What level of reduction corresponds to the lowest average cost per pound of pollutant? (Round your answer to two decimal places.What would be the resulting average cost to the nearest dollar?$ ______ per pound-The Average Cost,Plug-in q = sqrt(150/19) into A(q) to get the 2nd answer.......
The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced increases. Here is a possible model:

C(q) = 1,500 + 190q^2

where q is the reduction in emissions (in pounds of pollutant per day) and C is the daily cost to the firm (in dollars) of this reduction. What level of reduction corresponds to the lowest average cost per pound of pollutant? (Round your answer to two decimal places.)

______ pounds of pollutant per day

What would be the resulting average cost to the nearest dollar?
$ ______ per pound

-
The Average Cost, say A(q) is C(q)/q = 1500/q + 190q

Take the derivative of A(q) and set it to 0:
-1500/q^2 + 190 = 0
q^2 = 1500/190
q = sqrt(150/19)

Plug-in q = sqrt(150/19) into A(q) to get the 2nd answer.
1
keywords: with,Can,someone,calculus,me,question,help,this,Can someone help me with this calculus question
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .