A manufacturer produces 5G smart phones and wants to track worker efficiency. Suppose worker efficiency depends on the following: r = the number of years of experience of a worker, where r is a positive real number. A larger value of r means more years of experience. T = how tired the worker is, where T is a real number and 0
A manufacturer produces 5G smart phones and wants to track worker efficiency. Suppose worker efficiency depends on the following: r = the number of years of experience of a worker, where r is a positive real number. A larger value of r means more years of experience. T = how tired the worker is, where T is a real number and 0
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 43E
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Transcribed Image Text:A manufacturer produces 5G smart phones and wants to track worker efficiency. Suppose worker
efficiency depends on the following:
r = the number of years of experience of a worker, where r is a positive real number. A larger value of r
means more years of experience.
T = how tired the worker is, where T is a real number and 0 <T < 1. A larger value of T means more
tired.
b = the motivation of the worker, where b is a real number and 1 <b < 5. A larger value of b means more
motivated.
The manufacturer models the worker efficiency by:
E — 10 — 10Т - Ь-0.14г
where E is the worker efficiency. Here, E is a real number and 0 < E < 10. A larger value of E means more
efficient. Suppose Amit, Basil, Cheryl and Desiree are workers at the phone company.
(а) Find
dE
Is this number positive, negative or zero? According to this model, if Amit has more years
dr
experience than Basil, but all other factors are equal, who is more efficient?
dE
(b) Find
According to this model, if Cheryl is more tired than Desiree, but all other factors are equal, who
dT
is more efficient?
dE
is positive for all b. What would that mean in terms of efficiency of the
db
(c) Suppose you compute that
workers? Answer in one sentence but be as clear as possible.
dE
Note: You do not need to compute
db
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