Productivity-diminishing returns Suppose the pro- ductivity P of an individual worker (in number of items produced per hour) is a function of the number of hours of training f according to P(t) = 5 + 951² + 2700 Find the number of hours of training at which the rate of change of productivity is maximized. (That is, find the point of diminishing returns.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 87CR
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Productivity-diminishing
returns Suppose the pro-
ductivity P of an individual worker (in number of items
produced per hour) is a function of the number of
hours of training f according to
951
+ 2700
Find the number of hours of training at which the rate
of change of productivity is maximized. (That is, find
the point of diminishing returns.)
Transcribed Image Text:Productivity-diminishing returns Suppose the pro- ductivity P of an individual worker (in number of items produced per hour) is a function of the number of hours of training f according to 951 + 2700 Find the number of hours of training at which the rate of change of productivity is maximized. (That is, find the point of diminishing returns.)
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