SOLUTION: The profit of a retail store is y=2500+36x-0.2x^2 . Use the derivative if it would be profitable for the daily advertising budget to be increased if the daily advertising budget is

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Question 1056699: The profit of a retail store is y=2500+36x-0.2x^2 . Use the derivative if it would be profitable for the daily advertising budget to be increased if the daily advertising budget is
(a) $60
(b) $300
(c) what is the maximum value for x below which it is profitable to increase the advertising?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the answers backwards,
c)P%28x%29=2500%2B36x-0.2x%5E2
dP%2Fdx=36-0.4x
An increase in profits occurs as long as the derivative is greater than zero.
dP%2Fdx%3E0
36-0.4x%3E0
-0.4x%3E-36
x%3C36%2F%280.4%29
x%3C90
b) 60%3C90, yes
a) 300%3E90,no