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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
P7.10 Production Function Estimation. Consider the following Cobb-Douglas production func- tion for bus service in a typical metropolitan area:
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where
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QÂ = Â b0Lb1Kb2Fb3
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Q = output in millions of passenger miles
L = labor input in worker hours
K = capital input in bus transit hours
F = fuel input in gallons
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Each of the parameters of this model was estimated by regression analysis using monthly data over a recent 3-year period. Results obtained were as follows (standard errors in paren- theses):
ˆb0   = 1.2;  ˆb1   = 0.28;  ˆb2   = 0.63; ˆb3   = 0.12
The standard error estimates for each coefficient are
 ˆb0  = 0.4;   ˆb1  = 0.15;   ˆb2  = 0.12;   ˆb3  = 0.07
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A.  Estimate the effect on output of a 4% decline in worker hours (holding K and F constant).
B.   Estimate the effect on output of a 3% reduction in fuel availability accompanied by a 4% decline in bus transit hours (holding L constant).
C.   Estimate the returns to scale for this production system.
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