Modern Principles: Microeconomics
Modern Principles: Microeconomics
4th Edition
ISBN: 9781319098766
Author: Tyler Cowen, Alex Tabarrok
Publisher: Worth Publishers
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Chapter 19, Problem 10TPS

Subpart (a):

To determine

Externalities in a public good and tragedy of commons.

Subpart (b):

To determine

Externalities in a public good and tragedy of commons.

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A firm faces the following production function, Y = AKα L¹-a (1) Here Y is output, K is capital, L is fixed labour, and A is a measure of technology. The firm uses an optimal amount of capital determined by the condition, MPK = r +8 (2) Where MPK is the marginal productivity of capital, r is the real interest rate, and ♪ is the depreciation rate. (a) Using equations (1) and (2) find an expression for K*, the optimal amount of capital the firm should use. [3 marks] (b) Referring to your result from part (a), comment on what happens to K* when each of the following variables change (holding other variables constant), (i) The measure of technology (A) falls (ii) The depreciation rate (8) increases (iii) The real interest rate (r) increases [2 marks] [2 marks] [2 marks] [Hint: For each of parts (i)-(iii) you are being asked to comment on what happens to K* if just the variable mentioned in the question part changes. Your answer should state whether K* increases, decreases, or stays the…
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