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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 =

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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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 =
Transcribed Image Text: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 =
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