Answer to Question #78013 in Microeconomics for Dayron
Assume a production function with constant returns to scale. The share of capital in production is 1/4 and the share of labor is 3/4. If both labor and capital grow at 1.6% and real output grows at a rate of 2.8%, what is the growth rate of total factor productivity?
2.8% 1.6% 1.2% 1.0%
Total output (in Cobb-Douglas form) represents total output as a function of total factor productivity (A), capital input (K) and labor input (L) Y = A*K1/4*L1/4 1,028 Y = X*A*1,016*(K1/4*L1/4) X = (1,028 Y)/ (1,016*(K1/4*L1/4)*A) X = 1,0118 So, the growth rate of total factor productivity is 1,18%≈1,2%