C. Murti and Sastri expected positive slope coefficients. Test their hy- potheses at the 5-percent level of significance. (Hint: This is much harder than it looks!)

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter8: Cost Analysis
Section: Chapter Questions
Problem 9E
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Question 7.c
Y V. N. Murti and V. K. Sastri7 investigated the production character-
istics of various Indian industries, including cotton and sugar. They
specified Cobb-Douglas production functions for output (Q) as a
double-log function of labor (L) and capital (K):
InQ; = Bo + B,lnL; + B,lnK; + E;
%3D
and obtained the following estimates (standard errors in parentheses):
Industry
Bo
B1
R?
Cotton
0.97
0.92
0.12
.98
(0.03)
(0.04)
Sugar
2.70
0.59
0.33
.80
(0.14)
(0.17)
a. What are the elasticities of output with respect to labor and capital
for each industry?
b. What economic significance does the sum (B, + B2) have?
C. Murti and Sastri expected positive slope coefficients. Test their hy-
potheses at the 5-percent level of significance. (Hint: This is much
harder than it looks!)
Transcribed Image Text:Y V. N. Murti and V. K. Sastri7 investigated the production character- istics of various Indian industries, including cotton and sugar. They specified Cobb-Douglas production functions for output (Q) as a double-log function of labor (L) and capital (K): InQ; = Bo + B,lnL; + B,lnK; + E; %3D and obtained the following estimates (standard errors in parentheses): Industry Bo B1 R? Cotton 0.97 0.92 0.12 .98 (0.03) (0.04) Sugar 2.70 0.59 0.33 .80 (0.14) (0.17) a. What are the elasticities of output with respect to labor and capital for each industry? b. What economic significance does the sum (B, + B2) have? C. Murti and Sastri expected positive slope coefficients. Test their hy- potheses at the 5-percent level of significance. (Hint: This is much harder than it looks!)
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