Problem

Web Site Profit The latest demand equation for your gaming Web site, www.m...

Web Site Profit The latest demand equation for your gaming Web site, www.mudbeast.net, is given by

q = −400x + 1,200

where q is the number of users who log on per month and x is the log-on fee you charge. Your Internet provider bills you as follows:

Site maintenance fee: $20 per month

High-volume access fee: 50¢ per log-on

Find the monthly cost as a function of the log-on fee x. Hence, find the monthly profit as a function of x and determine the log-on fee you should charge to obtain the largest possible monthly profit. What is the largest possible monthly profit?

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