SOLUTION: A company's monthly profit P is related to the number of items sold by P(x)=-0.2x^2+50x-800. How many items should be sold each month to obtain the largest possible profit? what is

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Question 1110480: A company's monthly profit P is related to the number of items sold by P(x)=-0.2x^2+50x-800. How many items should be sold each month to obtain the largest possible profit? what is the amount of that profit?
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
P%28x%29=-0.2x%5E2%2B50x-800

You can use quadratic equation algebraic skills to find vertex, or, you might use derivative and find where it is 0.

dP%2Fdx=-0.2%2A2x%2B50=0
-0.4x=-50
x=50%2F0.4=25%2F0.2=highlight%28125%29------------number of items for maximum profit

Now find P%28125%29.
.
.