SOLUTION: the monthly revenue R of a certain company is given by R = 800P -7P^2,where P is the price in dollars of the product they manufacture.At what price will be revenue be $10000 if th

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: the monthly revenue R of a certain company is given by R = 800P -7P^2,where P is the price in dollars of the product they manufacture.At what price will be revenue be $10000 if th      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 176847: the monthly revenue R of a certain company is given by R = 800P -7P^2,where P is the price in dollars of the product they manufacture.At what price will be revenue be $10000 if the price must be greater than $50.
Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

10000+=++800P–7P%5E2

7P%5E2++++-+++800P+++%2B+++10000+++=+++0
(7P - 100 )(P - 100) = 0
P+=%28100%2F7%29(<$50) or P = 100

Since we’re told that the price must be greater than $50, we have to reject P+=%28100%2F7%29. Therefore, the correct choice is a price of $100.