Consider the production function q = ((K^α)+(L^α))^β. For this function to have diminishing marginal productivities and increasing returns to scale, it must be the case that: a. α>1 & αβ>1; b. α>1 & αβ1; d. α

Q: QUESTION 1 For the production function Qs = KO.4L0.3 find the returns to scale, recall that a…

A: Return to scale: It tells us that if we increase capital and labor by a factor of 't', then how much…

Q: Assume a Cobb-Douglas production function of the form: q = 10L0.24 K0.51 What type of returns to…

A: Return to scale define the level of production in the firm , so here we calculate the return to…

Q: For the production function Q = 4LK, returns to scale: is decreasing O Can be increasing,…

A: Returns to scale decribes how output changes when inputs change by a certain percentage.

Q: Consider the following production function: q = (KL)ª, where a > 0. Answer the following questions:…

A: Given  Production function: q=KLα where α>0             ............ (1)

Q: Exercise 2 Do the following production functions exhibit increasing, decreasing, or constant returns…

A: Return to scale: It tells us that if we increase capital and labor by a factor of 't', then how much…

Q: H8. Which of the following production functions exhibit(s) constant returns to scale?​I. Q = Min…

A: There are CRS if the doubling the all inputs result in the double of output.

Q: (5) Consider the Cobb-Douglas production function f(x1, x2) = Axqx½. (a) For what valucs of a and b…

A: ANS When the rise in the amount of output(o/p) is more than the rise in the amount of input (i/p)…

Q: A firm uses two inputs, capital (K) & labour (L). Given the production function: Q(K.L) = (KL) a) Is…

A: This is a long run production function since both the inputs of production labour and capital are…

Q: Carry out the following tasks to illustrate the law of diminishing returns: i. Deduce a production…

A: The production function determines all the input bundles that produce the same output level.The…

Q: Which of the following production functions demonstrates constant returns to scale? I. Q=5L+2K II.…

A: Constant returns to scale condition.Q(λK,λL)=λQ(K,L)

Q: eek and L = Labor (number of workers)   When does the law of diminishing returns take effect?…

A: Given : Q = 50L+6L2 −0.5L3

Q: Suppose that firms face the following production function: Q = 10 + L+K+2L/2K1/2, This production…

A: please find the answer below.

Q: A firm's production function is q = 2K0.5 +5L 0.5 This production function exhibits decreasing Both…

A: The production function in economics is a task that relates the output a firm can produce to…

Q: A firm has the following production function: f(x) = ax? – bx³, where x is the only input, a=2 and…

A: The production function is the maximum output that can be produced with the given technology and the…

Q: Which of the following production functions exhibit(s) constant returns to scale? I. Q= KL K+L II. Q…

A: Given:  There are three production functions: 1. Q=KLK+L2. Q=2K+L3. Q=K0.8L0.2

Q: Exercise 2 Do the following production functions exhibit increasing, decreasing, or constant returns…

A: Return to scale: It tells us that if we increase capital and labor by a factor of 't', then how much…

Q: 4) Does these production functions exhibit decreasing, constant, or in- creasing returns to scale?…

A: Due to its ability to clarify and measure the link between labor and capital, the two components of…

Q: 4. Characterize the returns to scale of the production function (a) (doing the same for production…

A: Solution for 4b: Production function: y = ln (1 + x1x2 + x1x3 + x2x3 )

Q: Given that the production function Q=L^0.75 K^0.25, describe the type of returns to scale exhibited…

A: Given: Q=L0.75K0.25

Q: A firm has a production function f(x, y) = 1.80(x0.10 + y0.10)2 whenever x > 0 and y > 0. When…

A: The objective of the question is to determine the returns to scale of the firm's production…

Q: Which of the following production function exhibits constant returns to scale. a)q=KL b)q=KL^0.5…

A: A production function is a mathematical e­xpression that depicts the re­lationship between inputs…

Q: A firm faces the production function: q=10L^0.32 K^0.56  (a) What kind of returns to scale does…

A:

Q: Determine the marginal productivity functions, and evaluate them when I Interpret the results. 4 and…

A: Marginal product is the change in output level due to the increment of an additional unit of input.

Q: Your firm is producing a unique product and the marginal product with respect to x1 in your function…

A: Law of diminishing marginal returns says that when one additional unit of any one of the factors of…

Q: Under what conditions do the following production functions exhibit decreasing, constant, or…

A: When an increase in inputs results in a proportional increase in output, there occurs constant…

Q: or the production function Qs = K0.5L0.7 find the returns to scale, recall that a doubling of inputs…

A: Returns to scale mean when inputs are raised by a certain proportion, how much output rises. The…

Q: If we duplicate all the production factors of the production function f (L,K) = L 2/3. K1/3, where L…

A: Given  Production function f(L,K)=L2/3K1/3         ......(1)

Q: Please decide whether the production function F(K,L)=aK+bL^2 (a and b are positive numbers) is DRS,…

A: The return to scale is a measure of how the output changes when all the factors of production change…

Q: b) Suppose a business faces a production function which is of the Cobb-Douglas form: Q(L,K) = AL“ K®…

A: Given output is a function of A, L and K. When we scale all factors of production in a given…

Q: If the production function is f(x1,x2) = x1,x2. a. Show whether this production function exhibits…

A: a.  The production function is f(x1,x2) = x1.x2 f(x1,x2) = x1.x2f(λx1,λx2) = λx1 λx2f(λx1,λx2)…

Q: Q) The production function       Q = L1/2K   exhibits: Group of answer choices a) Increasing…

A: Given  Production function  Q= L1/2K       .......... (1) To know the return to scale, we increase…

Q: 2. Which of the following production functions with inputs K, L, and H exhibits Constant Returns to…

A: The firms, and businesses are considered to be important entities in an economy who are involved in…

Q: Give me answer

A: The objective of the question is to determine the conditions under which the given production…

Q: Consider several production functions below and indicate whether they exhibit constant, increasing…

A: The markets are the place where the buyers of various goods and services tend to interact and meet…

Q: Consider a production function Q = (K.5 + L.5) 2    Does this production function exhibit…

A: Q=(K0.5+L0.5)2..... (1)Now, In order to check for returns to scale, multiply the variables K and L…

Q: Does the production function y=0.8x_1x_2 exhibit constant returns to scale, increasing returns to…

A: The inputs such as capital, labour and land are used to produce and output in the market is known as…

Q: If the optimal quantities of labour and capital were employed, then the total output is…

A: The production function is given as: Q = 100L0.5K0.5subject to5L+10K=75or L+2K=15

Q: Which of the following production functions do not exhibit constant returns to scale? A. F(K, L)= AK…

A: Introduction Returns to scale refers to the how much output changes given a proportional change in…

Q: Find the marginal product of capital for the following production function and show if it has…

A: Returns to scale explain how production evolves over time in response to an increase in all inputs.…

Q: A Firms production function is given by Q=L?K +1/L when L 2 1 and K 2 1). Find out AP , MPL , MPx…

A:

Q: follouring production functions exhibits increasing returns to scale in

A: When increase in inputs lead to increase in the output by more amount, then we have increasing…

Q: Consider the following production function: f (A, B) = gamma multiply A^alpha multiply B^Beta. where…

A: We are going to use function separability theorem to answer this question.