NotesAsk Your Teacher   The latest demand equation for your gaming website, www.mudbeast.net, is given by q = −500x + 1100 where q is the number of users who log on per month and x is the log-on fee you charge. Your Internet provider bills you as follows: Site maintenance fee: $20 per month High-volume access fee:     $0.50 per log-on Find the monthly cost as a function of the log-on fee x. C(x) =     Find the monthly profit as a function of x. P(x) =     Determine the log-on fee you should charge to obtain the largest possible monthly profit. x = $ per log-on What is the largest possible monthly profit? $

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The latest demand equation for your gaming website, www.mudbeast.net, is given by
q = −500x + 1100
where q is the number of users who log on per month and x is the log-on fee you charge. Your Internet provider bills you as follows:
Site maintenance fee: $20 per month
High-volume access fee:     $0.50 per log-on
Find the monthly cost as a function of the log-on fee x.
C(x) =
 
 

Find the monthly profit as a function of x.
P(x) =
 
 

Determine the log-on fee you should charge to obtain the largest possible monthly profit.
x = $ per log-on

What is the largest possible monthly profit?
$
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