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The demand for a new computer game can be modeled by p(x) = 48.5-6lnx, where p(x) is the price consumers wi pay, in dollars and x is the number of games sold, in thousand Recall that total revenue is given by R(x)=x. p(x). a) Find the marginal revenue, R'(x). b) How many units will be sold if the price that consumers are willing to pay is $40?

The demand for a new computer game can be modeled by p(x) = 48.5-6lnx, where p(x) is the price consumers wi pay, in dollars and x is the number of games sold, in thousand Recall that total revenue is given by R(x)=x. p(x). a) Find the marginal revenue, R'(x). b) How many units will be sold if the price that consumers are willing to pay is $40?

Advanced Engineering Mathematics
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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The demand for a new computer game can be modeled by p(x) = 48.5-6ln x, where p(x) is the price consumers will pay, in dollars and x is the number of games sold, in thousands. Recall that total revenue is given by R(x) = x. p(x). a) Find the marginal revenue, R'(x). b) How many units will be sold if the price that consumers are willing to pay is $40? 1 10
Transcribed Image Text:The demand for a new computer game can be modeled by p(x) = 48.5-6ln x, where p(x) is the price consumers will pay, in dollars and x is the number of games sold, in thousands. Recall that total revenue is given by R(x) = x. p(x). a) Find the marginal revenue, R'(x). b) How many units will be sold if the price that consumers are willing to pay is $40? 1 10
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