Find the conditional factor demand for factor \(x_2\) if the firm wants to produce \(y\ =\ 25.1\) units of output with the production function \(f(x_1,x_2)\ =\min{(0.5x_1,0.3x_2)}\). Price of output \(p\ =\ 39.1\) and prices of inputs are \(w_1\ =\ 5.3\) and \(w_2\ =\ 8.7\). Hint: 1. Think what is the cheapest way to produce \(y\) units of output given this specific produciton function. 2. Derive demand for \(x_2\) as a function of \(y\), \(w_1\) and \(w_2\) only Type your answer with at least 4 decimal digits! Answer:

Microeconomics: Private and Public Choice (MindTap Course List)
16th Edition
ISBN:9781305506893
Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Chapter12: The Supply Of And Demand For Productive Resources
Section: Chapter Questions
Problem 1CQ
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Find the conditional factor demand for factor \(x_2\) if the firm wants to produce \(y\ =\
25.1\) units of output with the production function \(f(x_1,x_2)\ =\min{(0.5x_1,0.3x_2)}\).
Price of output \(p\ =\ 39.1\) and prices of inputs are \(w_1\ =\ 5.3\) and \(w_2\ =\ 8.7\).
Hint: 1. Think what is the cheapest way to produce \(y\) units of output given this specific
produciton function.
2. Derive demand for \(x_2\) as a function of \(y\), \(w_1\) and \(w_2\) only
Type your answer with at least 4 decimal digits!
Answer:
Transcribed Image Text:Find the conditional factor demand for factor \(x_2\) if the firm wants to produce \(y\ =\ 25.1\) units of output with the production function \(f(x_1,x_2)\ =\min{(0.5x_1,0.3x_2)}\). Price of output \(p\ =\ 39.1\) and prices of inputs are \(w_1\ =\ 5.3\) and \(w_2\ =\ 8.7\). Hint: 1. Think what is the cheapest way to produce \(y\) units of output given this specific produciton function. 2. Derive demand for \(x_2\) as a function of \(y\), \(w_1\) and \(w_2\) only Type your answer with at least 4 decimal digits! Answer:
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