Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y produced after t hours of production is y=102t+1/2t2-t3   (a) After how many hours will the hourly number of units be maximized?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 16T
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Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y produced after t hours of production is

y=102t+1/2t2-t3
 
(a) After how many hours will the hourly number of units be maximized?
 
(b) What is the maximum hourly output?

 

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