# math

posted by
**liz**
.

You operate a gaming Web site, where users must pay a small fee to log on. When you charged $4 the demand was 510 log-ons per month. When you lowered the price to $3.50, the demand increased to 765 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.

q(x) =

1

Your answer is correct.

R(x) =

2

Your answer is correct.

(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.

P(x) =

3

Your answer is correct.

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

$ 4Your answer is incorrect.

What is the largest possible monthly profit?