You operate a gaming Web site, where users must pay a small fee to log on

You operate a gaming Web site, , where users must pay a small fee to log on. When you charged $4 the demand was 590 log-ons per month. When you lowered the price to $3.50, the demand increased to 885 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 x. R(x) =

(b) Your Internet provider charges you a monthly fee of $30 to maintain your site. Express your monthly profit P as a function of the log-on fee x. 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? $

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