A retail store estimates that weekly sales s and weekly advertising costs x​ (both in​ dollars) are related by S = 80,000 − 30,000e−0.0004x. The current weekly advertising costs are ​$2,500​,and these costs are increasing at a rate of ​$400 per week. Find the current rate of change of sales. The current rate of change of sales is ......​$ enter per week.(Round to the nearest dollar as​ needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
A retail store estimates that weekly sales s and weekly advertising costs x​ (both in​ dollars) are related by
S = 80,000 − 30,000e−0.0004x.
The current weekly advertising costs are ​$2,500​,and these costs are increasing at a rate of ​$400 per week.
Find the current rate of change of sales.
The current rate of change of sales is ......​$ enter per week.(Round to the nearest dollar as​ needed.)
 
 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,