Website Profit 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 550 log-ons per month. When you lowered the price to $2.50, the demand increased to 825 log-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 $50 to maintain your site. Express your monthly profit P as a function of the log-on fee x. P(x) = Determine the log-on fee you should charge to obtain the largest possible monthly profit (in dollars). $ What is the largest possible monthly profit (in dollars)? $
Website Profit 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 550 log-ons per month. When you lowered the price to $2.50, the demand increased to 825 log-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 $50 to maintain your site. Express your monthly profit P as a function of the log-on fee x. P(x) = Determine the log-on fee you should charge to obtain the largest possible monthly profit (in dollars). $ What is the largest possible monthly profit (in dollars)? $
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 24CR: An outpatient operating room charges each patient a fixed amount per surgery plus an amount per...
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Transcribed Image Text:Website Profit 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 550 log-ons per
month. When you lowered the price to $2.50, the demand increased to 825 log-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 $50 to maintain your site. Express your monthly profit P as a function of the log-on fee x.
P(x) =
Determine the log-on fee you should charge to obtain the largest possible monthly profit (in dollars).
$
What is the largest possible monthly profit (in dollars)?
$
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