The price p (in dollars) and the quantity x sold of a certain product obey the demand equation p = (-1/3) x + 100(a) Find a model that expresses the revenue R as a function of x.(b) What is the domain of R?(c) What is the revenue if 100 units are sold?(d) What quantity x maximizes revenue? What is the maximum revenue?(e) What price should the company charge to maximize revenue?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.8: Interpreting Graphs Of Functions
Problem 19PPS
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The price p (in dollars) and the quantity x sold of a certain product obey the demand equation

p = (-1/3) x + 100
(a) Find a model that expresses the revenue R as a function of x.
(b) What is the domain of R?
(c) What is the revenue if 100 units are sold?
(d) What quantity x maximizes revenue? What is the maximum revenue?
(e) What price should the company charge to maximize revenue?

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