1 The price p (in dollars) and the quantity x sold of a certain product obey the demand equation p = -=x+200. Answer parts (a) through (e). 7 (a) Find a model that expresses the revenue R as a function of x. (Remember, R = xp.) R(x) = (Use integers or fractions for any numbers in the expression.) (b) What is the domain of R? OA. The domain is {x1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1
The price p (in dollars) and the quantity x sold of a certain product obey the demand equation p = -=x+200. Answer parts (a) through (e).
7
(a) Find a model that expresses the revenue R as a function of x. (Remember, R = xp.)
R(x) = (Use integers or fractions for any numbers in the expression.)
(b) What is the domain of R?
O A. The domain is {x1 <x<
OB. The domain is the set of all real numbers.
(c) What is the revenue if 300 units are sold?
R$ (Round to the nearest hundredth as needed.)
(d) What quantity x maximizes revenue?
units
What is the maximum revenue?
R=$
X=
(e) What price should the company charge to maximize revenue?
p=$
Transcribed Image Text:1 The price p (in dollars) and the quantity x sold of a certain product obey the demand equation p = -=x+200. Answer parts (a) through (e). 7 (a) Find a model that expresses the revenue R as a function of x. (Remember, R = xp.) R(x) = (Use integers or fractions for any numbers in the expression.) (b) What is the domain of R? O A. The domain is {x1 <x< OB. The domain is the set of all real numbers. (c) What is the revenue if 300 units are sold? R$ (Round to the nearest hundredth as needed.) (d) What quantity x maximizes revenue? units What is the maximum revenue? R=$ X= (e) What price should the company charge to maximize revenue? p=$
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