The graph below shows a company's estimated profits (in dollars) for different advertising expenses (in tens of thousands of dollars). The company's actual profit was $988,608.55 for an advertising expense of $290,000. P 1 100 000 900 000 700 000 1 500 000 300 000 100 000 -100 000 5 10 15 (29, 988608.55) (b) The company's model is 20 25 30 35 X (a) From the graph, it appears that the company could have obtained the same profit for a lesser advertising expense. Use the graph to estimate this expense (in dollars). An advertising expense of $ when x = 0 also appears to yield a profit of about $988,608.55. P= -140.75x³ + 5348.3x2 - 76,560, 0≤ x ≤ 35 where P is the profit (in dollars) and x is the advertising expense (in tens of thousands of dollars). Explain how you could verify the lesser expense from part (a) algebraically. To verify, evaluate P(x) at x =

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
Question
The graph below shows a company's estimated profits (in dollars) for different advertising expenses (in tens of thousands of dollars). The company's actual profit was $988,608.55 for
an advertising expense of $290,000.
P
1 100 000
900 000
700 000
500 000
300 000
100 000
- 100 000
(29, 988608.55)
5 10 15 20 25 30 35
(b) The company's model is
X
i
(a) From the graph, it appears that the company could have obtained the same profit for a lesser advertising expense. Use the graph to estimate this expense (in dollars).
An advertising expense of $
when x = 0
also appears to yield a profit of about $988,608.55.
P = 140.75x³ + 5348.3x2 - 76,560, 0 ≤ x ≤ 35
where P is the profit (in dollars) and x is the advertising expense (in tens of thousands of dollars). Explain how you could verify the lesser expense from part (a) algebraically.
To verify, evaluate P(x) at x =
Transcribed Image Text:The graph below shows a company's estimated profits (in dollars) for different advertising expenses (in tens of thousands of dollars). The company's actual profit was $988,608.55 for an advertising expense of $290,000. P 1 100 000 900 000 700 000 500 000 300 000 100 000 - 100 000 (29, 988608.55) 5 10 15 20 25 30 35 (b) The company's model is X i (a) From the graph, it appears that the company could have obtained the same profit for a lesser advertising expense. Use the graph to estimate this expense (in dollars). An advertising expense of $ when x = 0 also appears to yield a profit of about $988,608.55. P = 140.75x³ + 5348.3x2 - 76,560, 0 ≤ x ≤ 35 where P is the profit (in dollars) and x is the advertising expense (in tens of thousands of dollars). Explain how you could verify the lesser expense from part (a) algebraically. To verify, evaluate P(x) at x =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
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