A project management consultant estimated that if a particular project was completed, t years after completion, N thousand persons would benefit directly from the project, where N(t) = t3/3 − 4.5t2 + 16t, 0 ≤ t ≤ 10 For what value of t will the largest number of people receive direct benefits?

Managerial Economics: A Problem Solving Approach
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ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
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Chapter16: Bargaining
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A project management consultant estimated that if a particular project was completed, t years after completion, N thousand persons would benefit directly from the project, where

N(t) = t3/3 − 4.5t2 + 16t,

0 ≤ t ≤ 10

For what value of t will the largest number of people receive direct benefits?

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