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 1120 log-ons per month. When you lowered the price to $2.50, the demand increased to 1400 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). X = $ What is the largest possible monthly profit (in dollars)?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
ChapterB: Differential Calculus Techniques In Management
Section: Chapter Questions
Problem 8E
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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 1120 log-ons per month. When you lowered
the price to $2.50, the demand increased to 1400 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).
X = $
What is the largest possible monthly profit (in dollars)?
$
LA
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 1120 log-ons per month. When you lowered the price to $2.50, the demand increased to 1400 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). X = $ What is the largest possible monthly profit (in dollars)? $ LA
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