Suppose the production function for T-shirts can be represented as q = L K" 025 a) What is the Marginal Rate of Technical Substitution (MRTS)? b) Using your answer from part (a), what is the slope of the isoquant if K = 1 and q = 2? (Hint: Use this information in your production function first and then use your solution from part (a)).

Suppose the production function for T-shirts can be represented as q = L K" 025 a) What is the Marginal Rate of Technical Substitution (MRTS)? b) Using your answer from part (a), what is the slope of the isoquant if K = 1 and q = 2? (Hint: Use this information in your production function first and then use your solution from part (a)).

Economics (MindTap Course List)

13th Edition

ISBN:9781337617383

Author:Roger A. Arnold

Publisher:Roger A. Arnold

Chapter17: Economic Growth: Resources, Technology, Ideas And Institutions

Section17.2: A Production Function And Economic Growth

Problem 4ST

See similar textbooks

Similar questions

Which of the following statements is (are) TRUE?I. If labor and capital are perfect substitutes in production, the isoquant is a downward-sloping line.II. If a company needs to use inputs in fixed proportion such that the capital to labor ratio is always 2, the firm's isoquants are L-shaped.III. If the production function is given by Q = min(14, 7), the firm can produce, at minimum, 21 units of output. IIII, II, and IIIII and II Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
A firm employs 100 workers at a wage rate of €10 per hour, and 50 units of capital at a rate of €20 per hour. The firm is currently operating at a point on its isoquant curve. At this point, the marginal product of labour is 30, and the marginal product of capital is 50. Which of the following statements is correct? A. The firm is producing its current output level at the minimum cost. B. The firm could reduce the cost of producing its current output level by employing more capital and less labour. C. The firm could reduce the cost of producing its current output level by employing more labour and less capital. D. The firm could reduce the cost of producing its current output level by employing less capital and less labour. E. Both C and D are true.
Consider the following production functions• F(L,K) = LK^3 For each for these production functions: (a) Draw the corresponding graph (b) Calculate the marginal product of labor and capital (c) Discuss if each marginal product is diminishing, constant or increasing (d) Calculate the marginal rate of technical substitution (e) Calculate if the function exhibits constant, increasing, or diminishing returns to scale*Just solve d and e
The production function is f(L,K)= L2/3K 1/3 , where L is the amount of labor and K is the amount of capital. (a. Find the marginal products of labor and capital. Is the marginal product of labor diminishing, increasing or constant in labor? (b. Sketch several isoquants in the K-L space. (c. Find the Technical Rate of Substitution between capital and labor. (d. What are the returns to scale of this production function?