The demand for a new computer game can be modeled by p(x) = 58 - 4 In x, for 0sxs 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) = x • p(x). Complete parts (a) through (c) below. a) Find R(x). R(x) =D %3D b) Find the marginal revenue, R'(x). R'(x) =O %3D c) How many units will be sold if the price that consumers are willing to pay is $40? The number of units that will be sold is (Round to the nearest whole number as needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 88E
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The demand for a new computer game can be modeled by p(x) = 58 - 4 In x, for 0sxs 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) = x • p(x). Complete parts (a) through (c) below.
a) Find R(x).
R(x) =D
%3D
b) Find the marginal revenue, R'(x).
R'(x) =O
%3D
c) How many units will be sold if the price that consumers are willing to pay is $40?
The number of units that will be sold is
(Round to the nearest whole number as needed.)
Transcribed Image Text:The demand for a new computer game can be modeled by p(x) = 58 - 4 In x, for 0sxs 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) = x • p(x). Complete parts (a) through (c) below. a) Find R(x). R(x) =D %3D b) Find the marginal revenue, R'(x). R'(x) =O %3D c) How many units will be sold if the price that consumers are willing to pay is $40? The number of units that will be sold is (Round to the nearest whole number as needed.)
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