A company had a review of a west coast factory and studied the output of its human workforce that were equiped with google glass 2. These glasses allowed the worker to access information without the need to go to a computer for work manuals and procedures - this increased productivity. The hourly number of units y produced after t hours of production is y = 85t +0.5t²t³ where 0 < t < 8 Find the number of hours to maximize the hourly number of units and the number of units hours the hourly number of units will be maximized. After The maximum hourly output is units.
A company had a review of a west coast factory and studied the output of its human workforce that were equiped with google glass 2. These glasses allowed the worker to access information without the need to go to a computer for work manuals and procedures - this increased productivity. The hourly number of units y produced after t hours of production is y = 85t +0.5t²t³ where 0 < t < 8 Find the number of hours to maximize the hourly number of units and the number of units hours the hourly number of units will be maximized. After The maximum hourly output is units.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![### Optimization of Hourly Production Using Smart Glass Technology
A company reviewed a west coast factory to study the output of employees equipped with Google Glass 2. These glasses enabled workers to access necessary information without needing to use a computer, thereby increasing productivity.
The function representing the hourly number of units produced, \( y \), after \( t \) hours is given by:
\[
y = 85t + 0.5t^2 - t^3
\]
where \( 0 \leq t \leq 8 \).
#### Task:
Determine the number of hours after which the hourly number of units will be maximized, as well as the maximum hourly output.
- After \(\_\_\_\_\_\) hours, the hourly number of units will be maximized.
- The maximum hourly output is \(\_\_\_\_\_\) units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4df0d9d6-a5af-48e8-af07-cbf992b42454%2Fcb9726fa-c357-4031-a087-97fb9d83a6c8%2Fv1iu8fr_processed.png&w=3840&q=75)
Transcribed Image Text:### Optimization of Hourly Production Using Smart Glass Technology
A company reviewed a west coast factory to study the output of employees equipped with Google Glass 2. These glasses enabled workers to access necessary information without needing to use a computer, thereby increasing productivity.
The function representing the hourly number of units produced, \( y \), after \( t \) hours is given by:
\[
y = 85t + 0.5t^2 - t^3
\]
where \( 0 \leq t \leq 8 \).
#### Task:
Determine the number of hours after which the hourly number of units will be maximized, as well as the maximum hourly output.
- After \(\_\_\_\_\_\) hours, the hourly number of units will be maximized.
- The maximum hourly output is \(\_\_\_\_\_\) units.
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