A company finds that there is a linear relationship between the amount of money that it spends on advertising and the number of units it sells. If it spends no money on advertising it sells 150 units. For each additional $4000 spent, an additional 20 units are sold. a) If xx is the amount of money that the company spends on advertising, find a formula for yy, the number of units sold as a function of xx. (do not use commas in your formula). y= y=  b) How many units does the firm sell if it spends $25,000 on advertising? (do not include any commas in your answer) c) How many units does the firm sell if it spends $50,000 on advertising? (do not include any commas in your answer d) How much advertising money must be spent to sell 700 units? (do not include any commas in your answer) $ e) Which of the following statements CORRECTLY explains the meaning of the slope? (select all as there may be more than one correct statment) A. If the company spends an additional $0.005 on advertising, it will sell one more additional unit. B. If the company spends an additional $1000 on advertising, it will increases the number of units it sells by 5 . C. If the company increases the amount of money it spends on advertising by $150, it will double the number of units it sells. D. In order to sell one more unit, the company would need to increase the amount it spends on advertising by $200 . E. None of the above

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 87CR
icon
Related questions
Question

A company finds that there is a linear relationship between the amount of money that it spends on advertising and the number of units it sells. If it spends no money on advertising it sells 150 units. For each additional $4000 spent, an additional 20 units are sold.

a) If xx is the amount of money that the company spends on advertising, find a formula for yy, the number of units sold as a function of xx. (do not use commas in your formula).
y= y= 

b) How many units does the firm sell if it spends $25,000 on advertising? (do not include any commas in your answer)

c) How many units does the firm sell if it spends $50,000 on advertising? (do not include any commas in your answer

d) How much advertising money must be spent to sell 700 units? (do not include any commas in your answer)
$

e) Which of the following statements CORRECTLY explains the meaning of the slope? (select all as there may be more than one correct statment)

A. If the company spends an additional $0.005 on advertising, it will sell one more additional unit.
B. If the company spends an additional $1000 on advertising, it will increases the number of units it sells by 5 .
C. If the company increases the amount of money it spends on advertising by $150, it will double the number of units it sells.
D. In order to sell one more unit, the company would need to increase the amount it spends on advertising by $200 .
E. None of the above

Expert Solution
steps

Step by step

Solved in 6 steps

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax