Suppose you are given the aggregate production function for an economy and the amount of available capital increases for this economy. Holding labor constant, this increase in capital will cause the MPK to increase. Select one: O True False
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- An economist fits the following production function to data from Australia and New Zealand, Y = AK" L1-« She estimate that for Australia, a = = 0.7. She estimates that for New Zealand, a = = 0.2 Based on this information, which of the following statements is most likely to be correct. There is not enough information to comment on the relative capital intensities Production wilI be relatively more capital intensive in New Zealand than in Australia Production will be relatively more capital intensive in Australia than in New Zealand Production will be equally as capital intensive in each country since they both experience constant returns to scaleSuppose 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?I need the answer as soon as possible
- 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?A custom motorcycle company can produce more motorcycles if it has more workers. The company has experimented with hiring workers in teams of four and has come up with the following table relating the number of workers to the companies annual production. Using the straight line tool, graph the production function based on the information given. Construct the curve using four line segments joined end to end. Do not graph the individual points! plz solved all parts
- The aggregate production function is Y = 3KL. If there are 20 units of capital and 50 units of labor, what is aggregate output? Group of answer choices 600 1000 150 3000please answer the following, I have attached an image of the question for better format. Thanks! 2. Suppose that the production function of a country is given by Y=K3L0.7, where Y is output, L is labour, and K is capital. a)What is the return to scale property of the production function? B)What will happen to output if we double the use of capital and labour? C)Write the production function as a relationship between output per worker and capital per worker.choices for the highlighted question is 4 sandwiches, 11sandwiches ,15 sandwiches ,18 sandwiches please also do the graphs. thank you!
- 9The concept of diminishing returns to a factor of production applies not only to capital but to labor as well. Prior to the Industrial Revolution, there was no sustained growth in living standards. Draw a graph to illustrate the relationship between population and output produced, where population is measured on the horizontal axis, both pre- and post-Industrial Revolution. 1.) Using the 3-point curve drawing tool, draw the production curve showing diminishing returns to labor. Label your curve 'Pre.' 2.) Using the 3-point curve drawing tool, draw the production curve after the Industrial Revolution. Label your curve 'Post. Carefully follow the instructions above and only draw the required objects. aProduction Function. Consider the Cobb-Douglas production function discussed in class:F(K, L) = AK1/3 L2/3. Suppose that parameters are initially A = 1, K = 150, and L = 10. c) Write the equations for w and r and calculate their values. Briefly explain where theseequations come from and what they mean.