Question 1155580
The weekly profit(in dollars) of a company making and selling x virtual pets each week is given by P(x) = -x^2 + 980x - 3000.
 What is the maximum profit, and how many virtual pets should be made and sold each week to maximize profit?
:
-x^2 + 980x - 3000 is quadratic equation, the max value is on the axis of symmetry.
 Use the formula x = -b/(2a), where a=-1; b=980
x = {{{(-980)/(2*-1)}}}
x = +490 items sold for max profit
:
Find the actual profit at his value
P(x) = -490^2 + 980(490) - 3000
P(x) = -240100 + 480200 - 3000
P(x) = $237,100 profit