Given the production function y= f(x1,x2)=x11/3x21/3. The amount of  x2 is equal to 216 in the short run.   Calculate the factor demand function Given the product price (P) is 6 and the price of factor 1 (w1) is 12, calculate the optimum amount of factor 1. Show your results on a graph. What will happen to the optimum level of factor 1 when both the price of the good and the price of factor 1 increase simultaneously?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter9: Production Functions
Section: Chapter Questions
Problem 9.3P
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Given the production function y= f(x1,x2)=x11/3x21/3. The amount of  x2 is equal to 216 in the short run.

 

  1. Calculate the factor demand function
  2. Given the product price (P) is 6 and the price of factor 1 (w1) is 12, calculate the optimum amount of factor 1. Show your results on a graph.
  3. What will happen to the optimum level of factor 1 when both the price of the good and the price of factor 1 increase simultaneously?

 

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