A firm faces the production function: q=10L^0.32 K^0.56  (a) What kind of returns to scale does this production function feature? Show work. (b) Does this production function exhibit downward-sloping and convex isoquants? Explain.

Q: Economies to scale refer to Select one: a. the point at which marginal cost equals average cost.…

A: "Long-run average cost curve is used to determine the scale of production process."

Q: The production function is given by Q = KĀLĀ a. Derive the marginal product of capital. Consider a…

A: Production function states a functional relationship between the level of inputs and the output…

Q: For a short run production function q=10lnL if L=2 the extra labor needed to increase output by one…

A: The production function is distinctively characterized inside the short run and over the lengthy…

Q: short-run with a fixed amount of at least one input, the Law of Diminishing Returns must apply,…

A: The law of deminishing marginal returns is one of the key standards of financial matters and is…

Q: How are increasing returns to scale for a long-run production function and a downward sloping…

A: The increasing returns to scale means that the output is rising in a larger fraction than the rise…

Q: Determine the returns to scale implied by each of the production function. Q = 0.4Y1/2 +…

A: Q (Y,A,B) = 0.4Y1/2 + 0.3A1/4B1/4 + 2.0B1/2 To determine the returns to scale, we will multiply Y,…

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 constant returns to scale? In each case y is…

A: Given: The production functions are: 1y=K12L132y=3K12L12(3)y=k12+L12(4)y=2K+3L

Q: Which of the following production functions exhibits decreasing returns to scale? A) Q=K^1/2 L^1/2…

A: Returns to scale are used to describe how production scale changes when all the factors of…

Q: Modified True or False: State whether each statement is true or false. If the statement is false,…

A: The diminishing returns occurs in the short run. All factor of production are not variable in the…

Q: Suppose a short-run production function is described as Q=30L-0.05L^2 Where L is the number of…

A: Given: Q=30L-0.05L^2 We know, MPL = dQ/dL Therefore, dQ/dL = 30 - L  So, MPL= 30-L = 0 L=30 units

Q: Q47 In the long run, the law of diminishing marginal returns... a. Sometimes holds, depending on…

A: Option E Law of diminishing marginal returns shows that when an additional unit of production is…

Q: When the production function exhibits _________ returns to scale, the long-run average cost curve…

A: Economies of scale:   The economies of scale are the cost-benefit that the firm achieves by…

Q: Show that if the production function is concave, the cost function is convex (in y).

A: Single input and single output case The production function is Concave. the input prices Y are…

Q: The equation below is a production function,   Q = (200)L + (100)K – (0.2)L2 – (0.1)K2     , where…

A: Q = (200)L + (100)K – (0.2)L2 – (0.1)K2

Q: Which of the following production function exhibits Economies of Scale? Q = K/2 + L O Q = K? + L Q =…

A: A production function depicts the relationship between the inputs used and the output produced in a…

Q: A firm producing cars. The production function for shoes (Q) is: Q = K'² L2 where K is capital and L…

A: Given: Q=K1/2L1/2 Price of K=$8 Price of L=$2

Q: The production function y =2( K0.3 L0.2 ) exhibits constant returns to scale.

A: Production function shows relationship between output produced and inputs used in the production.

Q: If an increase of an equal percentage in all factors of production increases output by the same…

A: The marginal product of labor (MPL) represents the effort put by the labor resource in the…

Q: Question 11 Consider a call center with production function f(L,K)=30L+300K, where L is units of…

A: Given,Production function f (L, K) = 30L+300KWhere, L is the units of labor and K is the units of…

Q: Given the production function, the portion of the total product curve,  which is concave upward…

A: In an economyz production possibility curve shoes the trade-off between two products to be produced…

Q: The production function has the following form q= K + 2L where q is output, K is capital input and L…

A: Answer: Given, Production function: q=K+2Lw=5v=2q=6 units The following condition must satisfy to…

Q: Consider a short run production function q=7L+K  using L units of labour and K units of capital.…

A: Consider a short-run production function q=7L+K  using L units of labour and K units of capital. 1)…

Q: Suppose a firm has a Cobb Douglas production function and is initially producing 50 units of output…

A: The Cobb-Douglas production function formula for a single good with two factors of production is…

Q: A fixed input is one: Select one: a. that can never produce more or less in any period. b. that only…

A: In a broad sense, there are two types of inputs (factors) used in the production i.e. fixed input…

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: Production Point Capital (K)  Labor (L) Output (Q) A 1 1 2 B 2 2   C 1 3   D 2 4   E 1 5   F 2 6   G…

A: Returns to scale can be classified into three categories; 1- Increasing returns to scale (IRS) 2-…

Q: The production function for soy beans is q = K 0.25 L 0.45. Dose this production function have…

A: Given  Production function.  q = (K)^0.25 × (L)^0.45

Q: If a production function shows declining marginal product of an input as the quantity of the input…

A: The production function is a technological link among the set of resources a business uses and the…

Q: For the production function Q = 0.2L2  returns to scale is: a.Constant Returns to Scale…

A: Returns to scale exhibits what happen to scale of production in long run when its factor of…

Q: A firm that employs labor and capital has production function q = LK. What returns to scale does the…

A: Q=LK the above production function exhibits q=lk where, Q= quantity of output L= Amount of labor K=…

Q: Discuss the main feature behind the long run average cost curve in terms of usage of input.

A: In the long run , all factors are variable and nothing is fixed.The long-run average cost curve…

Q: The simple (and silly) production function q = K/2 L-/2 (where q is output produced, and K and L +…

A: a production function gives the technological relation between quantities of physical inputs and…

Q: What kind of returns to scale does this production function exhibit? f(z1, za) = z1(z2 - 8) for 21 >…

A: f(z1,z2) = z1(z2-8) z1>0 z2>8

Q: You are given the production function: Q(K,L)=10KαLβ Does the above function exhibit increasing,…

A: The since long run alludes to a time-frame where the production function is characterized based on…

Q: You are given the production function: Q(K,L)=10KαLβ What is the average product of labour, holding…

A: Production function:  Q(K,L) = 10KαLβ

Q: Suppose that the production of Y uses two inputs, L and K. L can be any positive real number, while…

A: Economics as a subject deals with the allocation of scarce resources among humans with unlimited…

Q: Suppose a firm could produce data storage services using two inputs: high capacity hard drive (200…

A: Given information Firm firm could produce data storage services using two inputs: high capacity hard…

Q: The production function q = 9K0.8L0.1 exhibits: a. increasing retruns to scale  b. constant…

A: The relationship between ou>tput and proportional increase in all the inputs is referred to as…

Q: Suppose the production function for T-shirts can be represented as q =  L0.25 K0.75. Show that the…

A: Meaning of Production Function: The term production function refers to the situation under which a…

Q: The production function for a product is given by q= 10K^(1/2)L^(1/2) where K is capital, and L is…

A: The production function is:q = 10*K0.5*L0.5The cost function (C) with two inputs capital (K) and…

Q: A firm's production function is Q = min ( K, 2L ) , where Q is the number of units of output per day…

A: Long-run average total cost (LRATC) is a business measure that indicates the long-run average cost…

Q: For its current level of production, a firm is attempting to minimize its costs. The firm has…

A: The marginal product of labor is 10 =>MPL=10 ------- The marginal product of capital is 20…

Q: The production function of a firm is x= A* l^a* k^(1-a-b)*e^b. l is labor, k is capital, e is…

A: Maximizing the profit function with respect to l, k and e above and setting it to zero we will get…

Q: Imagine your firm has the short run production function q = -0.01L3 + L2 + 50L. What is the level…

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Determine whether each of the production functions below displays constant, increasing, or…

A: Answer in step 2.

Q: A firm produces according to the following production Function: Q= K^0.4L^0.5. MCK is $10 per K, and…

A: Returns to scale is the increase in production due to same unit increase in the inputs, labor and…