Answered: You operate a gaming website,…

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Functions

Section9.CR: Review Problem Set

Problem 24CR: An outpatient operating room charges each patient a fixed amount per surgery plus an amount per...

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Website Profit You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $4 the demand was 580 log-ons per month. When you lowered the price to $3.50, the demand increased to 870 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.

R(x) =

(b)

Your Internet provider charges you a monthly fee of $20 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 (in dollars).

x = $

What is the largest possible monthly profit (in dollars)?

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