The following equations represent the long-run production functions for four different technologies, where capital and labor are both variable inputs. For each function, indicate whether it exhibits increasing, decreasing, or constant returns to scale. Clearly show your derivations. (Note that in parts a and c, the exponents are decimals.) f(L,K)= 8L²K4 b. f(L,K)= L+7K c. f(L,K)= L³K d. f(L,K)= 4L+K? а. с.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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Chapter7: Production Economics
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Just part D please, I included how I did the first 3 just need help with last! Thank you!

The following equations represent the long-run production functions for four different
technologies, where capital and labor are both variable inputs. For each function,
indicate whether it exhibits increasing, decreasing, or constant returns to scale. Clearly
show your derivations. (Note that in parts a and c, the exponents are decimals.)
f(L,K)= 8L²K4
b. f(L,K)= L+7K
c. f(L,K)= L³K
d. f(L,K)= 4L+K?
а.
с.
Transcribed Image Text:The following equations represent the long-run production functions for four different technologies, where capital and labor are both variable inputs. For each function, indicate whether it exhibits increasing, decreasing, or constant returns to scale. Clearly show your derivations. (Note that in parts a and c, the exponents are decimals.) f(L,K)= 8L²K4 b. f(L,K)= L+7K c. f(L,K)= L³K d. f(L,K)= 4L+K? а. с.
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