SOLUTION: 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 shoul

Question 1155517: 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?
Answer by ramkikk66(644) (Show Source): You can put this solution on YOUR website!
The formula for profit is
At the value of x where this function (profit) is maximum, the first derivative of the formula will be 0.
i.e.
or
490 virtual pets will yield the maximum profit.
The maximum profit can be found by substituting x = 490 in the formula
Max profit = P(490) =
Ans: 490 pets, profit $237100
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