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 thousands of
Algebra ->
Quadratic Equations and Parabolas
-> 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 thousands of
Log On
Question 224400: 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?
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) = -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?
------
P is a quadratic with a = -2 and b = 20 (number of paintings need to be sold)
Maximum P occurs at n = -b/2a = -20/-4 = 5
--------------------------
P(5) = -2(5)^2 + 20*5 - 30 = -50 + 100 - 30
P(5) = $20 (maximum profit)
==============================
Cheers,
Stan H.
(