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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.)

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.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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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