b) Applying the Cobb-Douglas formula, find the total factor productivity (A) if the economy's output (Y) equals $12 trillion, capital (K) is $27 trillion, and labor (L) is 64 million workers (compute the value with the closest approximation).
Added by Greg B.
Close
Step 1
Step 1: The Cobb-Douglas production function is given by Y = A * K^α * L^β, where Y is the output, A is the total factor productivity, K is the capital, L is the labor, and α and β are the output elasticities of capital and labor, respectively. Show more…
Show all steps
Your feedback will help us improve your experience
Rachel Gore and 70 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
The company's production is given by the Cobb-Douglas function (P(L,K)) below, where (L) is the number of units of labor, and (K) is the number of units of capital: P(L,K) = 2402 * L^k a) Find, P(16,K) b) Find, P(16,81) Which increases production more: an additional unit of labor or capital?
Adi S.
Consider the Cobb-Douglas production function f(x, y) = 100x^0.85 * y^0.15. When x = 1600 and y = 800, find the following (Round your answers to two decimal places): (a) the marginal productivity of labor, df/dx; (b) the marginal productivity of capital, df/dy.
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