Web Site Profit You operate a gaming Web site, www .mudbeast.net, where users must pay a small fee to log on. When you charged $2 the demand was 280 log-ons per month. When you lowered the price to $1.50, the demand increased to 560 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.
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, and hence determine the log-on fee you should charge to obtain the largest possible monthly profit. What is the largest possible monthly profit? HINT [See Example 4.]
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