You operate a gaming website, where users must pay a small fee to log on. When you charged $4 the demand was 540 log-ons per month. When you lowered the price to $3.50, the demand increased to 810 log-ons per month.

a) Construct a linear a linear demand function for your website 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 $10 to maintain your site. Express your monthly profit P as a function of the log-on fee x.

$P(x)=?$

Determine the log-on fee you should charge to obtain the largest possible monthly profit.

$x=\$?$

What is the largest possible monthly profit?

$\$?$

a) Construct a linear a linear demand function for your website 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 $10 to maintain your site. Express your monthly profit P as a function of the log-on fee x.

$P(x)=?$

Determine the log-on fee you should charge to obtain the largest possible monthly profit.

$x=\$?$

What is the largest possible monthly profit?

$\$?$