An optimization specialist studied a factory's existing processes and work-flow to implemented new equipment and updated production processes. After the new equipment and processes were in place, he studied the production and modeled the productivity with the following function: P(t) = − 4t³ + 108t² + t, where t is the number of hours worked in a 10-hour shift. Find the point of diminishing returns for this factory. The point of diminishing returns is at t =
An optimization specialist studied a factory's existing processes and work-flow to implemented new equipment and updated production processes. After the new equipment and processes were in place, he studied the production and modeled the productivity with the following function: P(t) = − 4t³ + 108t² + t, where t is the number of hours worked in a 10-hour shift. Find the point of diminishing returns for this factory. The point of diminishing returns is at t =
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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![An optimization specialist studied a factory's existing processes and work-flow to implement new equipment and updated production processes. After the new equipment and processes were in place, he studied the production and modeled the productivity with the following function:
\[ P(t) = -4t^3 + 108t^2 + t \]
where \( t \) is the number of hours worked in a 10-hour shift. Find the point of diminishing returns for this factory.
The point of diminishing returns is at \( t = \) [ ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4df0d9d6-a5af-48e8-af07-cbf992b42454%2F4e5321ec-2fb3-4f36-a383-75ce04ccd770%2F8oa9q9r_processed.png&w=3840&q=75)
Transcribed Image Text:An optimization specialist studied a factory's existing processes and work-flow to implement new equipment and updated production processes. After the new equipment and processes were in place, he studied the production and modeled the productivity with the following function:
\[ P(t) = -4t^3 + 108t^2 + t \]
where \( t \) is the number of hours worked in a 10-hour shift. Find the point of diminishing returns for this factory.
The point of diminishing returns is at \( t = \) [ ]
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