You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was 510 log-ons per month. When you lowered the price to $2.50, the demand increased to 765log-ons per month. (a) Construct a linear demand function for your website and hence obtain the monthly revenue R as a function of the log-on fee x. R(x) =     (b) Your Internet provider charges you a monthly fee of $10 to maintain your site. Express your monthly profit P as a function of the log-on fee x. HINT [See Example 4.] P(x) =     Determine the log-on fee you should charge to obtain the largest possible monthly profit. x = $ What is the largest possible monthly profit? $

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 60E
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You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was 510 log-ons per month. When you lowered the price to $2.50, the demand increased to 765log-ons per month.

(a) Construct a linear demand function for your website and hence obtain the monthly revenue R as a function of the log-on fee x.
R(x) =
 
 

(b) Your Internet provider charges you a monthly fee of $10 to maintain your site. Express your monthly profit P as a function of the log-on fee x. HINT [See Example 4.]
P(x) =
 
 

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

What is the largest possible monthly profit?
$
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