Monthly sales of a particular personal computer are expected to decline at the following rate of S′(t) computers per​ month, where t is time in months and​ S(t) is the number of computers sold each month.   S′(t)=−30t23   The company plans to stop manufacturing this computer when monthly sales reach 600 computers. If monthly sales now ​(t=​0) are 1,680 ​computers, find​ S(t). How long will the company continue to manufacture this​ computer?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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Monthly sales of a particular personal computer are expected to decline at the following rate of
S′(t) computers per​ month, where t is time in months and​ S(t) is the number of computers sold each month.
 
S′(t)=−30t23
 
The company plans to stop manufacturing this computer when monthly sales reach 600 computers. If monthly sales now ​(t=​0) are 1,680 ​computers, find​ S(t). How long will the company continue to manufacture this​ computer?
 
 
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