SOLUTION: SAS Car Manufacturing estimates that its profit P in hundreds of dollars is P = -2x^2 + 20x -2 where x is the number of units produced in thousands. How many units must be produce

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Question 41605: SAS Car Manufacturing estimates that its profit P in hundreds of dollars is P = -2x^2 + 20x -2 where x is the number of units produced in thousands. How many units must be produced to obtain maximum profit?
Thanks for any help to understand this.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
P = -2x^2 + 20x -2 where x is the number of units produced in thousands. How many units must be produced to obtain maximum profit?
The equation is a quadratic with a=-2, b=20, c=-2
The maximum for this function is at x=-b/2a
-b/2a = -20/-4 = 5
5000 units must be produced to attain a maximum profit.
Cheers,
Stan H.