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 530 log-ons per month. When you lowered the price to $2.50, the demand increased to 795 log-ons per month.(a) Construct a linear demand function for your Web site and hence obtain the monthly revenue R as a function of the log-on fee p.

R(p) =

(b) Your Internet provider charges you a monthly fee of $20 to maintain your site. Express your monthly profit P as a function of the log-on fee p. HINT [See Example 4.]

P(p) =

Determine the log-on fee you should charge to obtain the largest possible monthly profit. p = $ What is the largest possible monthly profit?