You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was 510 log-ons per month. When you lowered the price to $2.50, the demand increased to 765log-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 $10 to maintain your site. Express your monthly profit P as a function of the log-on fee x. HINT [See Example 4.] 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? $
You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was 510 log-ons per month. When you lowered the price to $2.50, the demand increased to 765log-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 $10 to maintain your site. Express your monthly profit P as a function of the log-on fee x. HINT [See Example 4.] 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? $
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was 510 log-ons per month. When you lowered the price to $2.50, the demand increased to 765log-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 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. HINT [See Example 4.]
Determine the log-on fee you should charge to obtain the largest possible monthly profit.
x = $
What is the largest possible monthly profit?
$
| 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. HINT [See Example 4.]
| 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?
$
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