2. If a production function is shown by the equation $Q = 13L^{0.7}K^{0.3}$, where Q denotes output, L is labor, and K is capital, then: a. Show that the labor elasticity is 0.7 b. What does the 0.7 elasticity of labor mean?
Added by Jamie O.
Close
Step 1
The production function is Q = 13L^0.7K^0.3. Differentiating with respect to labor (L), we get dQ/dL = 0.7 * 13L^(-0.3)K^0.3. Now, multiplying it by the ratio of labor to output (L/Q), we get (dQ/dL) * (L/Q) = (0.7 * 13L^(-0.3)K^0.3) * (L/Q). Simplifying, we Show more…
Show all steps
Your feedback will help us improve your experience
Prabhat Tyagi and 82 other Microeconomics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
If the demand function for a product is given by p = 4400 / (q + 3) find the elasticity for this demand function when p = $220. Round your answer off to 2 decimal places. Elasticity = E =
Adi S.
The demand function for a certain product is q = f(p) = 10,000 - 500p, where p is the price in dollars. Find the elasticity of demand for the following values of p. For each value of p, state whether the demand is elastic, inelastic, or has unit elasticity. Explain what each means in the context of this problem. (parts a, b, and c are 3 points each) a) p = 8 b) p = 16 c) p = 10
Suchitra K.
Vishal P.
Recommended Textbooks
Principles of Economics
Principles of Microeconomics for AP® Courses
Economics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD