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?
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.