SOLUTION: the total profit P on the production and sale of x compact disk if given by P(x)=-x^2+980x-3000. how many disk must be produced to maximize profits. what is the maximum profit?

Question 547767: the total profit P on the production and sale of x compact disk if given by P(x)=-x^2+980x-3000. how many disk must be produced to maximize profits. what is the maximum profit?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the total profit P on the production and sale of x compact disk if given by P(x)=-x^2+980x-3000. how many disk must be produced to maximize profits. what is the maximum profit?
----------------------
Max occurs when x = -b/(2a) = -900/(2*-1) = 450
---
Max profit is P(450) = -(450)^2 + 980*450 - 3000 = $235,500
============
Cheers,
Stan H.
RELATED QUESTIONS
The weekly profit(in dollars) of a company making and selling x virtual pets each week is (answered by ankor@dixie-net.com,josmiceli)

The weekly profit(in dollars) of a company making and selling x virtual pets each week is (answered by ramkikk66)

A plasma TV company determines that its total profit on the production and sale of x TVs... (answered by stanbon)

I'm pretty sure this question would go under this category, I have no idea where to... (answered by edjones)

I have been working on this all week and I just cannot get it. I know this is short... (answered by user_dude2008)

A plasma TV company determines that its total profit on the production and sale of x TVs... (answered by jsmallt9)

The National Gizmo Corporation calculates that its profit, in thousands of dollars, on... (answered by nerdybill)

The National Gizmo Corporation calculates that its profit, in thousands of dollars, on... (answered by josmiceli)

The profit P(x) that company earn for selling x number of toy cars can be modelled by... (answered by CPhill,ikleyn)