The price p (in dollars) and the quantity x sold of a certain product satisfy the demand equation x = - 8p + 800. Answer parts (a) through (g). (Simplify your answer. Type an integer or a decimal.) (e) How many units are sold at this price? x= 400 (Simplify your answer. Type an integer or a decimal.) (1) Graph R. Choose the correct graph below. OA. OB. OD. AR AR 21000- 21000 21000 21000- 110 (g) What price should the company charge to earn at least $14,592 in revenue? The company should a price between a minimum of $ and a maximum of $ (Simplify your answers. Type integers or decimals.)

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...
icon
Related questions
icon
Concept explainers
Topic Video
Question

Hi just need help solving the last part of the question 

The price p (in dollars) and the quantity x sold of a certain product satisfy the demand equation x = - 8p + 800. Answer parts (a) through (g).
(a) Find a model that expresses the revenue R as a function of p. (Remember, R= xp.)
R(p) = - 8p + 800p
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
(b) What is the domain of R? Assume that R is nonnegative.
A. The domain is {p| 0 sps 100 }.
(Simplify your answers. Type integers or decimals.)
B. The domain is the set of all real numbers.
(c) What price p maximizes revenue?
p= $ 50
(Simplify your answer. Type an integer or a decimal.)
(d) What is the maximum revenue?
R= $ 20000
(Simplify your answer. Type an integer or a decimal.)
(e) How many units are sold at this price?
X= 400
(Simplify your answer. Type an integer or a decimal.)
(f) Graph R. Choose the correct graph below.
Transcribed Image Text:The price p (in dollars) and the quantity x sold of a certain product satisfy the demand equation x = - 8p + 800. Answer parts (a) through (g). (a) Find a model that expresses the revenue R as a function of p. (Remember, R= xp.) R(p) = - 8p + 800p (Simplify your answer. Use integers or decimals for any numbers in the expression.) (b) What is the domain of R? Assume that R is nonnegative. A. The domain is {p| 0 sps 100 }. (Simplify your answers. Type integers or decimals.) B. The domain is the set of all real numbers. (c) What price p maximizes revenue? p= $ 50 (Simplify your answer. Type an integer or a decimal.) (d) What is the maximum revenue? R= $ 20000 (Simplify your answer. Type an integer or a decimal.) (e) How many units are sold at this price? X= 400 (Simplify your answer. Type an integer or a decimal.) (f) Graph R. Choose the correct graph below.
The price p (in dollars) and the quantity x sold of a certain product satisfy the demand equation x = - 8p + 800. Answer parts (a) through (g).
(Simplify your answer. Type an integer or a decimal.)
(e) How many units are sold at this price?
X= 400
(Simplify your answer. Type an integer or a decimal.)
(f) Graph R. Choose the correct graph below.
A.
AR
21000-
Ap
21000-
Ap
21000-
AR
21000-
R
0-
04
0-
110
110
110
04
110
(g) What price should the company charge to earn at least $14,592 in revenue?
The company should a price between a minimum of $
(Simplify your answers. Type integers or decimals.)
and a maximum of $
Enter your answer in the edit fields and then click Check Answer.
B.
Transcribed Image Text:The price p (in dollars) and the quantity x sold of a certain product satisfy the demand equation x = - 8p + 800. Answer parts (a) through (g). (Simplify your answer. Type an integer or a decimal.) (e) How many units are sold at this price? X= 400 (Simplify your answer. Type an integer or a decimal.) (f) Graph R. Choose the correct graph below. A. AR 21000- Ap 21000- Ap 21000- AR 21000- R 0- 04 0- 110 110 110 04 110 (g) What price should the company charge to earn at least $14,592 in revenue? The company should a price between a minimum of $ (Simplify your answers. Type integers or decimals.) and a maximum of $ Enter your answer in the edit fields and then click Check Answer. B.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning