SOLUTION: The weekly total profit of a comic book at Bukit Kuantan is P(x) = 150 x - x² . Find the marginal profit function, P’(x) and the marginal profit when x = 10

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: The weekly total profit of a comic book at Bukit Kuantan is P(x) = 150 x - x² . Find the marginal profit function, P’(x) and the marginal profit when x = 10       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1102332: The weekly total profit of a comic book at Bukit Kuantan is P(x) = 150 x - x² . Find the marginal profit function, P’(x) and the marginal profit when x = 10

Answer by Lightning_Fast(78) About Me  (Show Source):
You can put this solution on YOUR website!
Well the marginal profit function is a derivative of the P(x). So, first take the derivative of the P(x) to obtain P'(x).
Let P'(x) = D(x) (because for some reason the equation editor won't let me work with apostrophes)
Thus, D%28x%29+=+-2x%2B+150
Now you want to find the marginal profit when x = 10. To do this, plug in x =10 to the function that just got differentiated.
D%28x%29+=+-2%2810%29+%2B+150
Simplify and obtain
D%28x%29+=+130
130 is your final answer, the marginal profit.