e) Prove, algebraically, that the Marginal Rate of Substitution (MRS) between L and K is given by MRSLK = -MPPL/MPPK. f) Explain why the total change in wheat output along the isoquant curve is equal to zero.

Microeconomics A Contemporary Intro
10th Edition
ISBN:9781285635101
Author:MCEACHERN
Publisher:MCEACHERN
Chapter7: Production And Cost In The Firm
Section7.A: Appendix: A Closer Look At Production And Cost
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Suppose a farmer is using two inputs, labour (L) and capital (K), to produce the same amount
of wheat (i.e. 100 tons of wheat). The production function is given by L0.5 + K0.33
a) Discuss any three (3) characteristics of the model described above.
b) Explain how it would be possible for a farmer to use L and K to produce the same
amount of wheat.
c) Derive MPP of L and MPP of K.
d) Determine the marginal rate of substitution of L and K.
Prove, algebraically, that the Marginal Rate of Substitution (MRS) between L and Kis
given by MRSLK = -MPPL/MPPK.
f) Explain why the total change in wheat output along the isoquant curve is equal to zero.
Transcribed Image Text:Suppose a farmer is using two inputs, labour (L) and capital (K), to produce the same amount of wheat (i.e. 100 tons of wheat). The production function is given by L0.5 + K0.33 a) Discuss any three (3) characteristics of the model described above. b) Explain how it would be possible for a farmer to use L and K to produce the same amount of wheat. c) Derive MPP of L and MPP of K. d) Determine the marginal rate of substitution of L and K. Prove, algebraically, that the Marginal Rate of Substitution (MRS) between L and Kis given by MRSLK = -MPPL/MPPK. f) Explain why the total change in wheat output along the isoquant curve is equal to zero.
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