The production function Q=20L+601²-2L³ satisfies the law of diminishing returns for O a. L>10 O b. Choose this option if you do not want to submit an answer. No negative mark will apply. O c. all values of L O d. L<10 O e. There are no values of L for which the production function satisfies the law of diminishing returns.

The production function Q=20L+601²-2L³ satisfies the law of diminishing returns for O a. L>10 O b. Choose this option if you do not want to submit an answer. No negative mark will apply. O c. all values of L O d. L<10 O e. There are no values of L for which the production function satisfies the law of diminishing returns.

Exploring Economics

8th Edition

ISBN:9781544336329

Author:Robert L. Sexton

Publisher:Robert L. Sexton

Chapter11: The Firm: Production And Costs

Section: Chapter Questions

Problem 8P

See similar textbooks

Similar questions

A firm produces output (y) using two inputs, labor (L) and capital (K), according to the following Cobb-Douglas production function: y = f(L, K) = Lº25 K0.75. Assuming that we draw the isoquant map with labor on the horizontal axis and capital on the vertical axis, what is the slope of this firm's isoquant when L = 120 and K = 60? Give your answer to two decimal places and remember that the sign matters when describing the slope of an isoquant.[_____________] Part 2 : See Hint Assume that L = 120 and K = 60 and suppose that the firm decides to reduce its use of capital and replace those machine hours with some additional labor hours. Approximately how many labor hours will the firm need to add for each machine hour it cut in order to maintain the same level of output (i.e., stay on the same isoquant)? Give your answer to two decimal places. [__________] labor hours
Which of the following statements is not correct? Select one: O a When MC is below AVC, AVC is rising. O b. The total product curve shows how a firm's output changes when the quantity of labour changes. O c. Diminishing marginal returns occur when the marginal product of a worker is less than the marginal product of the previous worker. O d. The change in total product resulting from a one-unit increase in the quantity of labour is called marginal product. ous page Next
6. Which of the following are true (check all that apply) Note: IRTS=increasing returns to scale, CRTS=constant returns to scale, DRTS=decreasing returns to scale a. if the production function exhibits IRTS, then the cost function will exhibit economies of scale b. if the production function exhibits IRTS, then the cost function will exhibit diseconomies economies of scale c. if the cost function exhibits diseconomies of scale, then the producing function exhibits DRTS d. if the production function exhibits CRTS, then the cost function will exhibit constant economies of scale e. if the production function exhibits DRTS then the cost function will exhibit diseconomies of scale
1.A 15 per cent increase in all inputs leads to only a 5 per cent increase in the output. Are the returns to scale increasing, constant or diminishing? Illustrate your answer2.What is the slope of an iso-cost line equal to and why? Provide mathematical explanation3.“By definition, cost is zero if a firm does not hire any input. Hence cost-minimization essentially means shutting down the operation of the firm.” Do you agree with the statement? Justify you answer by giving an explanation from microeconomic theory.4.What is meant by an expansion path? Illustrate expansion paths for a normal input and an inferior input.
In the short run production function O a. All inputs are variable O b. All inputs are fixed O C. There are fixed and variable inputs Od. Technology alone is variable
Production 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. D) Suppose that the quantity of labor L doubles. Calculate Y, w, r, Y/L, and K/L. Com-ment on how and why these numbers changed relative to (c) and why they did so.
QUESTION 1a. Is it possible to have diminishing returns to a single factor of production and constant returnsto scale at the same time? Discuss.b. Isoquants can be convex, linear, or L-shaped. What does each of these shapes tell you aboutthe nature of the production function? What does each of these shapes tell you about theMRTS?QUESTION 2a. A firm faces the following average revenue (demand) curve:P = 120 − 0.02Qwhere Q is weekly production and P is price, measured in cents per unit. The firm’s costfunction is given by C = 60Q + 25,000. Assume that the firm maximizes profits.i. What is the level of production, price, and total profit per week?ii. If the government decides to levy a tax of 14 cents per unit on this product, what will be thenew level of production, price, and profit?b. The United States currently imports all of its coffee. The annual demand for coffee by U.S.consumers is given by the demand curve Q = 250 – 10P, where Q is quantity (in millions ofpounds) and P is the…
This problem is connected to module 10. Again, its purpose is to acquaint you with the summary measures of production theory, and to reason about production theory. In the short run, a firm cannot vary its capital and operates with K = 9. It can, however, vary the amount of labor (L) that it uses. For each production function below, explain why the firm will or will not experience diminishing marginal returns to labor in the short run. q= 35L + 40Kq= (L^0.5)(K^0.5)
. What are the firm's fixed costs?$ c. What is the variable cost of producing 475 units of output (use least-cost)?$ d. How many units of the variable input should be used to maximize profits?e. What are the maximum profits this firm can earn?$ f. Over what range of the variable input usage do increasing marginal returns exist?From ___ to ____g. Over what range of the variable input usage do decreasing marginal returns exist?From ___ to ___h. Over what range of input usage do negative marginal returns exist?From ___ to ___ . What are the firm's fixed costs?$ c. What is the variable cost of producing 475 units of output (use least-cost)?$ d. How many units of the variable input should be used to maximize profits?e. What are the maximum profits this firm can earn?$ f. Over what range of the variable input usage do increasing marginal returns exist?From to g. Over what range of the…
True or False: The shape of the production function reflects the law of increasing marginal returns. O True O False
Production Function. Consider the Cobb-Douglas production function discussed in class:F(K, L) = AK^1/3 L^2/3. Suppose that parameters are initially A = 1, K = 150, and L = 10. d) Suppose that the quantity of labor L doubles. Calculate Y, w, r, Y/L, and K/L. Com-ment on how and why these numbers changed relative to (c) and why they did so. E) Suppose that the quantity of capital K doubles as well. (So now both K and L aretwice their previous value). Calculate Y, w, r, Y/L, and K/L. Comment on how thesenumbers changed relative to both their initial values, and their values in (d).
Please solve Figure 1 below. Figure 1 (a) What assumption does Figure 1 make about the nature of the production function of a firm and what does point A represent? Explain your answer. (b) Reproduce Figure 1 provided in the question. By making appropriate inferences from it, work further to show a new isocost line for the cost level of $1000 on the same figure, if wages fall by 10% while the rental rate on capital increases by 20%. Explain your work carefully. (c) What input combination will the firm use to produce output level of 100, if wages fall by 10% while the rental rate on capital increases by 20%? Explain your answer.