You operate a gaming Web site, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was 1080 log-ons per month. When you lowered the price to $2.50, the demand increased to 1350 log-ons per month.

(a) Construct a linear demand function for your Web site and hence obtain the monthly revenueRas a function of the log-on feex.

R(x) =

(b) Your Internet provider charges you a monthly fee of $10 to maintain your site. Express your monthly profitPas a function of the log-on feex. 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?

$