a)Law of diminishing marginal returns states that if firms add additional factor of production ,then there is smaller increase in output.For example Increasing workers beyond optimal level will only lead to overcrowding in the factories and less increase in output.
b)Convex isoquants means that we can substitute some units of one input with other without changing the output produced.
Linear isoquants means the inputs are perfect substitutes.
Isoquants are L -shaped , then it means the inputs are perfect compliments that is the production function is leontiff and the technology is fixed proportions.
c)Convex Isoquants -diminishing MRTS as we move down the isoquant
Linear Isoquant - constant MRTS
L shaped isoquant - MRTS is infinity at the portions where the isoquant is vertical and MRTS is 0 where the isoquant is horizontal.
Explain the law of diminishing marginal returns Isoquants can be convex, linear or L-shaped. What does...
1. Consider a firm that has the following CES production function: Q = f(L,K) = [aLP + bK°]!/p where p a. Derive the MRTS for this production function. Does this production function exhibit a diminishing MRTS? Justify using derivatives and in words. What does this imply about the shape of the corresponding isoquants? (10 points) b. What are the returns to scale for this production function? Show and explain. Explain what will happen to cost if the firm doubles its...
Consider a firm that has the following CES production function: Q = f(L,K) = [aL^ρ + bK^ρ]^1/ρ where ρ ≤ 1. Please clearly show each STEP and make sure your handwriting is LEGABLE. Thank you Derive the MRTS for this production function. Does this production function exhibit a diminishing MRTS? Justify using derivatives and in words. What does this imply about the shape of the corresponding isoquants? (10 points) What are the returns to scale for this production function? Show...
Consider the production function given by y = f(L,K) = L^(1/2) K^(1/3) , where y is the output, L is the labour input, and K is the capital input. (a) Does this exhibit constant, increasing, or decreasing returns to scale? (b) Suppose that the firm employs 9 units of capital, and in the short-run, it cannot change this amount. Then what is the short-run production function? (c) Determine whether the short-run production function exhibits diminishing marginal product of labour. (d)...
What is the law of diminishing returns and what does it explain the shape of the short run average cost curve.
When does the Law of Diminishing Marginal Returns kick in? Explain why.
Q1 [30 points] Show in a diagram using isoquants that a production function can have diminishing marginal return to a factor and constant returns to scale? With the help of a diagram explain the concepts of "isoquant", "diminishing marginal return to a factor", and "constant returns to scale". What are the similarities and differences between indifference curves and isoquants. Q2 [30 points Assume that a firm has a fixed-proportions production function, in which one unit of output is produced using...
A6 Microeconomics Assignment 6 Part I: Short Answer Questions [(100 points) Q1 [30 points) Show in a diagram using isoquants that a production function can have diminishing marginal return to a factor and constant returns to scale? With the help of a diagram explain the concepts of "isoquant", "diminishing marginal return to a factor", and "constant returns to scale". What are the similarities and differences between indifference curves and isoquants. Q2 [30 points Assume that a firm has a fixed-proportions...
1). Describe the law of eventually diminishing marginal returns. Does this law occur in the short run or in the long run. Why? Will a profit maximizing firm ever operate in the range of diminishing returns. Explain your answer.
1. A frequent assumption that economists make about production functions is that the marginal rate of technical substitution (MRTS) is diminishing. (a) Explain the intuition behind this assumption; is it a reasonable assumption to make? Why or why not? (b) Describe (or show) what an isoquant would look like if this assumption were violated. Interpret. (c) In the two-good production function q = f(k. 1), the assumption of a diminishing marginal rate of technical substitution can be expressed as SMRTS...
4. Consider the production functions given below: a. Suppose that the production function faced by a milk producer is given by Q = 40.5 20.5 = 4VK VL, where MPx = 2K-0.5 20.5 = 2 and MP, = 2 K0.5L-05 = 2 * i. Do both labor and capital display diminishing marginal products in the short run? ii. Find the marginal rate of technical substitution for this production function. (Hint: The MRTS = 1) iii. Does this production function display...