Suppose the per-worker production function is:y = A(1-ga)Where ga is the fraction of all workers that produce technologies. Further, suppose the growth of technology is given by thefollowing equationgrowth of A = (ga/m)(L)Suppose L = 1 and m = 7, and that initially ga = 0.7. If g, fell to 0.8 the level of output per worker would:Impossible to sayfallstay the sameO rise

The production function of a venture is a relationship between inputs used and yield made by an…

y = A(1-ga) ere ga is the fraction of all workers that produce technologies. Further, suppose the growth of technology is given by the owing equation growth of A = (ga/m)(L) pose L = 1 and m = 7, and that initially g,A = 0.7. If g, fell to 0.8 the level of output per worker would: Impossible to say fall stay the same rise

y = A(1-ga) ere ga is the fraction of all workers that produce technologies. Further, suppose the growth of technology is given by the owing equation growth of A = (ga/m)(L) pose L = 1 and m = 7, and that initially g,A = 0.7. If g, fell to 0.8 the level of output per worker would: Impossible to say fall stay the same rise

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter9: Production Functions

Section: Chapter Questions

Problem 9.2P

See similar textbooks

Similar questions

Assume the production function takes the general form (as in lecture notes) Y = z xF(K,L, A) Z X where all marginal products are positive. Which 3 of the following statements are correct? Select one or more: O a. If A is fixed, then population growth acts as a drag on growth of output per person. b. If A is fixed, then population growth acts as a drag on growth, and so Malthus was correct that population growth will always reverse the impact of technological improvements. Both rises in z and rises in K/L (capital intensity) will boost output per worker. O d. Growth in output per worker can occur due to rises in z (technology) or rises in K/L (capital intensity), or both.
The Cobb-Douglas production function is given by Y = AK" L-. Here a is a given parameter that satisfies 0< a< 1. The marginal product of capital is and shows Douglas production function displays and the level of output returns to capital. The Cobb- per worker can be written as a function of the level of Oa: diminishing marginal; constant returns to scale; technology a: diminishing marginal: increasing returns to scale: capital per worker ai diminishing marginal; constant returns to scale; capital per worker (1 - a) : increasing marginal; decreasing returns to scale; capital per worker
Suppose the production function for widgets is given byq = kl - 0.8k2 - 0.2l2where q represents the annual quantity of widgets produced, k represents annual capital input, and l represents annual labor input.a. Suppose k = 10; graph the total and average productivity of labor curves. At what level of labor input does this average productivity reach a maximum? How many widgets are produced at that point?b. Again assuming that k = 10, graph the MPl curve. At what level of labor input does MPl = 0?c. Suppose capital inputs were increased to k = 20. How would your answers to parts (a) and (b) change?d. Does the widget production function exhibit constant, increasing, or decreasing returns to scale?
Suppose the per-worker production function is: y = A(1-gA) Where ga is the fraction of all workers that produce technologies. Further, suppose the growth of technology is given by the following equation growth of A = (g//m)(L) Suppose L = 1 and m = 7, and that initially ga = 0.7. If ga fell to 0.8 the level of output per %3D worker would: fall Impossible to say rise stay the same
Assume the production function takes the general form: Y=Z*F (K,L,A)where all marginal products are positive.Which 3 of the following statements are correct?a. If A is fixed, then population growth acts as a drag on growth of output per person.b. If A is fixed, then population growth acts as a drag on growth, and so Malthus was correct that populationgrowth will always reverse the impact of technological improvements.c. Both rises in z and rises in K/L (capital intensity) will boost output per worker.d. Growth in output per worker can occur due to rises in z (technology) or rises in K/L (capital intensity), orboth.
Consider the production function Y = K1/2 N12 a. Compute output when K = 49 and N = 81 %3D b. If both capital and labor double, what happens to output? c. Is this production function characterized by constant returns to scale? Explain. d. Write this production function as a relation between output per worker and capital per worker. e. Let K/N = 4. What is Y/N? Now double K/N to 8. Does Y/N double as a result? f. Does the relation between output per worker and capital per worker exhibit constant returns to scale? g. Is your answer to f. the same as your answer to c.? Why or why not?
Consider the Solow-Swan growth model, with a savings rate, s, a depreciation rate, ô, and a population growth rate, n. The production function is given by Y = AK + BK3/4L1/4 where A and B are positive constants. Note that this production is a mixture of Romer's AK model and the neoclassical Cobb- Douglas production function.
Assume that Economyland’s production function is Y = F (K, L) = K 0.5 L 0.5Where Y is output level, K is the amount of capital input, and L is the amount of laborinput. a) What is the per-worker production function, y= f (k) for Economyland? b) Assume that 10 percent of capital depreciates each year and savings rate is 20 percent,find the steady-state level of capital per worker for Economyland. Then find the steady-state levelof income per worker and steady-state level of consumption per worker. c) Is it possible to save too much? Why?
What are the steps to solve for K in terms of L. Given a production function of Q = 2KL, and Q is 16, how do i solve and what are the steps to solve for K in terms of L. What if Q is 32? 64? Just algebra not calculus please.
Prof. Smith and Prof. Jones are going to produce a new textbook. The production function for the book is: ?=?1/2?1/2?= is the number of pages in the finished book?= is the number of working hours spent by Smith?= is the number of working hours spent by JonesSmith's labor is valued at 3 TL per working hour and Jones's labor is valued at 12 TL per working hour. After having spent 900 hours preparing the first draft, Smith cannot contribute any more to the book. Jones will revise the Smith's draft to complete the book.a) How many hours will Jones have to spend to produce a finished book of 300 pages?b) What is the marginal cost of the 300th page of the finished book?
Suppose that the production function of a company is given by q = qL^2 · qC and that the amount of labour qL and the amount of capital qC are functions of time t. At time t = 2, we know that qL = 9 andqC =8 and that the growth rateof qL is equal to 2 and the growth rate of qC is equal to 8. Find the growth rate of the production q at that moment.
Consider the production function Y = z. K³NL where Y is output, z is a parameter capturing technology, K is capital, N is labour and L is the area of land. If we double the technology factor, z, then output will double. Select one: O True O False If we increase the population, and therefore the workforce, then if nothing else changes, the average product of labour must increase. Select one: O True O False We would need to increase capital input by a factor of 8 to double output. Select one: O True O False Increasing technology will increase labour productivity. Select one: O True