1st_Midterm_Practice_Answer

1st_Midterm_Practice_Answer - Econ 352 Intermediate...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Econ 352 YiLi Chien Intermediate Macroeconomics Spring 2010 1 st Midterm Practice Answers Part One (40 pts) Instruction: answer the following questions using analytical frameworks. Depict appropriate diagrams if needed. 1. (15 points) Consider a Cobb-Douglas production function with K(capital), L(labor). The production function is Y=AK 0.4 L 0.6 . a) (5 pts) Derive expression for the marginal product of capital and labor. MP K = ә Y/ ә K = 0.4 AK 0.4-1 L 0.6 = 0.4 AK -0.6 L 0.6 = 0.4 A(L/K) 0.6 Similarly, MP L = ә Y/ ә L = 0.6AK 0.4 L 0.6-1 = 0.6AK 0.4 L -0.4 = 0.6A(K/L) 0.4 b) (5 pts) Show that this Cobb-Douglas production function exhibits constant returns to scale. Suppose we scale up capital and labor input by z i.e., F(zK,zL) = A(zK) 0.4 (zL) 0.6 = z 0.4+0.6 AK 0.4 L 0.6 = zY Then we get back the total output also scale up by z. This production function is constant return to scale. c) (5 pts) Derive the labor share (total labor income divided by total output) in the equilibrium of this economy. (Hint: the equilibrium real wage rate is equal to marginal product of labor) Labor’s share 0.4 0.4 0.4 0.6 0.6 0.6
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 04/02/2012 for the course ECON 352 taught by Professor Staff during the Fall '08 term at Purdue University-West Lafayette.

Page1 / 4

1st_Midterm_Practice_Answer - Econ 352 Intermediate...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online