SOLUTION: I have been working on this all week and I just cannot get it. I know this is short notice but it is due with in the next 12 hours PLEASE HELP! A plasma TV company determines that

Question 357478: I have been working on this all week and I just cannot get it. I know this is short notice but it is due with in the next 12 hours PLEASE HELP!
A plasma TV company determines that its total profit on the production and sale of x TVs is given by: P(x)= -x^2+812x-9600
the question that i am stuck on are as follows, and i have to show the work:
1. Find the solutions and explain what these solutions represent.
2. How many TV�s must be produced to reach a minimum or maximum profit?
3.What is this minimum or maximum profit?
4.What is the vertex of this graph? How is this point related to your answers from e and f?
I also have to graph it but i think i can do that if i have these answers
thank you so much in advance.
Answer by user_dude2008(1862) (Show Source): You can put this solution on YOUR website!
1) Solutions: x = 12, x = 800
2) 406 tvs must be produced
3) max profit = $155236
4) vertex (406,155236) x coordinate from 2) y coordinate from 3)

Graph

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