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 1180 log-ons per month. When you lowered the price to $2.50, the demand increased to 1475 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) = \boxed{-590x^2 + 2950x}
Impressive work.
(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)?
$
