SOLUTION: I'm pretty sure this question would go under this category, I have no idea where to start. Any help would be appreciated A company determines that the profit, P(x), earned on the

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Question 140587: I'm pretty sure this question would go under this category, I have no idea where to start. Any help would be appreciated
A company determines that the profit, P(x), earned on the sale of x items is given
by the formula:
+P%28x%29=+20x+-+x%5E2+
a) Determine the number of items sold if the company loses $2,400.
b) How many items must be sold for the maximum profit?
c) What is the maximum profit?
Thank you

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
P(x)= 20x - x^2
a)
20x-x^2=-2400
x^2-20x-2400=0
(x-60)(x+40)=0
x=60
.
b) As you can see by the graph below 10 items sold yield the maximum profit.
.
c) 20*10-10^2=$100
.
Ed
.
graph%28500%2C500%2C-10%2C30%2C-125%2C125%2C20x-x%5E2%29