27. Marginal revenue. The demand for a new computer game can be modeled by p(x) = 53.5 - 8 ln x, for 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter5: Inverse, Exponential, And Logarithmic Functions
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27. Marginal revenue. The demand for a new computer
game can be modeled by
p(x) = 53.5 - 8 ln x, for 0 <xn 800,
for 0x 800,
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)
a) Find R(x).
b) Find the marginal revenue, R' (x).
c) How many units will be sold if the price that con-
sumers are willing to pay is $40?
х*р (x).
11
Transcribed Image Text:27. Marginal revenue. The demand for a new computer game can be modeled by p(x) = 53.5 - 8 ln x, for 0 <xn 800, for 0x 800, 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) a) Find R(x). b) Find the marginal revenue, R' (x). c) How many units will be sold if the price that con- sumers are willing to pay is $40? х*р (x). 11
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