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
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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.)
 
 
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