SOLUTION: A company's revenue function, in millions of dollars, is given by R(x) = -(x - 500)^2 + 10 where x represents the number of units sold. The company's maximum revenue is ____ millio

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A company's revenue function, in millions of dollars, is given by R(x) = -(x - 500)^2 + 10 where x represents the number of units sold. The company's maximum revenue is ____ millio      Log On


   

Question 1175927: A company's revenue function, in millions of dollars, is given by R(x) = -(x - 500)^2 + 10 where x represents the number of units sold. The company's maximum revenue is ____ million dollars and it occurs when they sell ___ units.


Homework question from Hans
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The vertex is at (500, 10)
500 units sold 10 million dollar revenue, since written in vertex form.
graph%28300%2C300%2C-300%2C1500%2C-300000%2C500%2C-%28x-500%29%5E2%2B10%29
can expand this to R(x)=-x^2+1000x-249990
vertex is -b/2a=1000/2=500.
The point is that you can look at the problem and write the answer without expanding the formula. The vertex is the maximum for a negative quadratic, and vertex form gives you both the x and y values.