The demand for a new computer game can be modeled by p(x) = 46.5-6 In x, for 0≤x≤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)= b) Find the marginal revenue, R'(x). R'(x) = 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.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 6EQ: Redo Exercise 5, assuming that the house blend contains 300 grams of Colombian beans, 50 grams of...
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The demand for a new computer game can be modeled by p(x) = 46.5-6 In x, for 0≤x≤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) =
b) Find the marginal revenue, R'(x).
R'(x) =
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) = 46.5-6 In x, for 0≤x≤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) = b) Find the marginal revenue, R'(x). R'(x) = 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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