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 =howtiredtheworkeris,whereT isarealnumberand0
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 =howtiredtheworkeris,whereT isarealnumberand0<T <1.AlargervalueofT meansmore 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 = 10−10T ·b^−0.14r
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.
(a) Find dE/dr . Is this number positive, negative or zero? According to this model, if Amit has more years experience than Basil, but all other factors are equal, who is more efficient?
(b)Find DE/dT . According to this model, if Cheryl is more tired than Desiree, but all other factors are equal, who is more efficient?
(c)Suppose you compute that dE/db is positive for all b. What would that mean in terms of efficiency of the workers? Answer in one sentence but be as clear as possible
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