-. You operate a gaming website where users pay a small fee to logon. When you charged $2, the demand was 280 log-ons per month. When you lowered the price to $1.50, the demand increased to 500 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. b. Your Internet provided charges you a monthly fee of $30 to maintain your site. Express the 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?