Imagine you own a business firm with a friend of yours. During the first quarter you come up with the following information that: • Output elasticity of Capital is 0.2 • Output elasticity of Labour is 0.8 • Rate of Technological advancement is 12 a) What kind of business firm is the one that you own? Mention 2 of its characteristics. b) Derive the marginal productivity of capital and labour, by means of Cobb- Douglas production function. c) If Y = F (K, L) where K = 1000 and L = 400, determine the values of MPx and MPL.

Imagine you own a business firm with a friend of yours. During the first quarter you come up with the following information that: • Output elasticity of Capital is 0.2 • Output elasticity of Labour is 0.8 • Rate of Technological advancement is 12 a) What kind of business firm is the one that you own? Mention 2 of its characteristics. b) Derive the marginal productivity of capital and labour, by means of Cobb- Douglas production function. c) If Y = F (K, L) where K = 1000 and L = 400, determine the values of MPx and MPL.

Microeconomics A Contemporary Intro

10th Edition

ISBN:9781285635101

Author:MCEACHERN

Publisher:MCEACHERN

Chapter7: Production And Cost In The Firm

Section: Chapter Questions

Problem 18PAE

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X 15:01 EC5011 - Seminar 2.do... II. Problems and Exercises .ıl 4 1. Consider the following production function: . Does this production function exhibit constant returns to scale? (Hint: Replace K and L by 2K and 2L, respectively, and check if F(2K, 2L) = 2F(K, L).) 2. Consider the following production function: . a. Calculate the marginal product of labour. b. Calculate the marginal product of capital. c. Does this production function exhibit diminish MPL and MPK? d. Does this function exhibit constant returns to scale? 3. Suppose represents the production function of both Mexico and Spain. Use the following information to answer the next questions. L = Population K = Capital Y = Output Country (millions) (trillion) (trillion) Mexico 105 0.18 1.0 Spain 45 0.74 1.7 a. Calculate total factor productivity for both countries using the PF in question 2. b. Calculate per capita income for both countries. c. Explain the difference in per capita income. 4. A snack food factory in the Tuas…
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