SOLUTION: Assume the profit earned by an artist in any given year is governed by the function P(n) = -2n2 + 20n – 30 where n represents the number of paintings sold and P (in thousan

Algebra ->  Probability-and-statistics -> SOLUTION: Assume the profit earned by an artist in any given year is governed by the function P(n) = -2n2 + 20n – 30 where n represents the number of paintings sold and P (in thousan      Log On


   



Question 223772: Assume the profit earned by an artist in any given year is governed by the function
P(n) = -2n2 + 20n – 30
where n represents the number of paintings sold and P (in thousands of dollars) represents the profit. How many paintings should be sold to create a maximum profit? What is the maximum profit?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the profit earned by an artist in any given year is governed by the function
P(n) = -2n^2 + 20n – 30
where n represents the number of paintings sold and P (in thousands of dollars) represents the profit. How many paintings should be sold to create a maximum profit? What is the maximum profit?
---------------------
You have a quadratic with a=-2,b=20,c=-30
-----
max occors when x=-b/(2a)=-20/(-4)=5 (number to sell to achieve max profit)
-----
P(5) = -2(5)^2+20(5)-30
P(5) = -50+100-30
p(5) = 20 (maximum profit)
==============================
Cheers,
Stan H.