If a firm has a production function of the form: Q = LK³, what can we conclude? The firm has convex production function and will experience constant marginal returns to labour and increasing marginal returns to capital. The firm has a linear production function and will experience decreasing marginal returns to labour and increasing marginal returns to capital. The firm has a quasi-concave production function and will experience decreasing marginal returns to labour and increasing marginal returns to capital. The firm has a convex production function and will experience increasing marginal returns to labour and increasing marginal returns to capital. O The firm has a quasi-concave production function and will experience constant marginal returns to labour and increasing marginal returns to capital.

If a firm has a production function of the form: Q = LK³, what can we conclude? The firm has convex production function and will experience constant marginal returns to labour and increasing marginal returns to capital. The firm has a linear production function and will experience decreasing marginal returns to labour and increasing marginal returns to capital. The firm has a quasi-concave production function and will experience decreasing marginal returns to labour and increasing marginal returns to capital. The firm has a convex production function and will experience increasing marginal returns to labour and increasing marginal returns to capital. O The firm has a quasi-concave production function and will experience constant marginal returns to labour and increasing marginal returns to capital.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

The equation below is a production function, Q = (200)L + (100)K – (0.2)L2 – (0.1)K2 , where Q is output, L is labor and K is capital. What is the Marginal Product of Labor of this function?
A firm faces a production function with inputs capital (K) and labor (L): F(K, L) = K¹/² L¹/4 The amount of capital used for production is determined at the beginning of the year. The prices of K and L are v and w respectively.
RBW produces light sticks for one of their legendary girl groups, Kara. Suppose that RBWuses capital, K, and labor, L, to produce the light sticks. The production function is given as: Q(K,L)=2K0.75L0.51. Identify if RBW’s production function is increasing, constant, or decreasing returns to scale with a brief explanation. Also, solve for the company’s cost minimization problem by providing conditional demand functions of labor and capital, with respect to their input prices. Assume that w is the wage of labor and r is the rent cost of capital.2. Suppose that RBW is preparing for a mini-fan meet for the group’s “When I move” mini-album launch and that they have to provide 200 light sticks. The wage of labor, w, is $6.00 and the cost of capital, r, is $2.00. Determine how much labor and capital they have to use and the total cost of producing the light sticks.
Company Z has the following data corresponding to the production function. Where (L) is the amount of the labor factor and (K) capital. Q=K0.4 L 0.6 a) Calculate the amount of production, applying the production function for each of the respective values of K and L. K L Q 10 80 30 160 50 320 70 640 90 1200 a) Graph the amount of production obtained on the Y axis, and with the labor input on the Х аxis b) Draw isoquant lines for each level of production, placing capital on the Y axis and labor on the X axis, to better appreciate the displacement.
Suppose the production function is given by f(K,L) = 3Kl, where K denotes capital and L denotes labor. The price of capital is 2 TL/machine-hr, the price of labor is 24 TL/person-hr, and capital is fixed at 4 machine-hr in the short run. a) Find the short-run TC, TVC, and TFC curves for this production process. Sketch them on a single graph. Do not forget to label all axes and necessary points on your graph. b) Find short-run ATC, AVC, AFC, and MC curves for this production process. Sketch them on a single figure. Do not forget to label all axes and necessary points on your graph.
Question # 1: Majeda wrote the following answer on her microeconomics examination: “Virtually every production function exhibit diminishing returns to scale because my professor said that all inputs have diminishing marginal productivities. So, when all inputs are doubled, output must be less than double." How would you grade Majeda's answer? Question # 2: Suppose a firm had a production function with linear isoquants, implying that its two inputs were perfect substitutes for each other. What would determine the firm's expansion path in this case? For the opposite case of a fixed-portions production function, what would the firm's expansion path be? Question # 3: Suppose that a firm's production function is q = 30√L. In the short run, where there are fixed costs of $2,200, and labor is the variable input whose cost is $6,300 per units. What is the total cost of producing 20 units of output?
Consider a production function of three inputs, labor, capital, and materials, given by Q = LKM. The marginal products associated with this production function are as follows: MPL = KM, MPK = LM, and MPM = LK. Let w = 5, r = 1, and m = 2, where m is the price per unit of materials.a) Suppose that the firm is required to produce Q units of output. Show how the cost - minimizing quantity of labor depends on the quantity Q. Show how the cost- minimizing quantity of capital depends on the quantity Q. Show how the cost - minimizing quantity of materials depends on the quantity Q. b) Find the equation of the firms long-run total cost curve.c) Find the equation of the firms long-run average cost curve.d) Suppose that the firm is required to produce Q units of output, but that its capital is fixed at a quantity of 50 units (ie., K 50). Show how the cost- minimizing quantity of labor depends on the quantity Q. Show how the cost- minimizing quantity of materials depends on the quantity Q. e)…
Suppose a firm producing wood burning stoves has the following production function Q(K, L) = 4K¹/2 [1/2 Where L, the labour, and K, the capital are the 2 inputs of production and Q the quantity of stoves. Assume the price of one unit of L is £1 and the price of one unit of K is £2. a) b) Assume that K=9 in the short run. Draw the production function and calculate the marginal products of L as L changes from L= 1 to L= 6. What does an isoquant curve show? Draw the graph of a production isoquant representing input combinations that will produce 8 units of output.
Consider the following production function: f (A, B) = gamma multiply A^alpha multiply B^Beta. where A and B are the inputs and alpha, Beta, gamma are in the set (0,1). Let wA and wB the price of the two inputs. Assume wA, wB > 0. Is the production function separable?Does the production function exhibit constant returns of scale?Compute the cost function and the conditional input demand function.How do these three functions react to a change in wA? Suppose the price of both inputs double, what happens to the conditional input demand function? And to the cost function? Suppose the desired level of output double, what happens to the conditional input demand function? And to the cost function?…
Suppose the production function is given by Q = 5K+2L. What is the marginal product of capital when 5 units of capital and 10 units of labor are employed?
1/2 Consider a firm with the production function ƒ(x₁, x₂) = x¹/²x₂. The price of the two inputs is ₁ = 2 and w₂ = 1. If x₁ = x₂ = 16, the marginal product of input 1 is When ₁ is increasing and 2 stays the same, the marginal product of input 1 is Constant Decreasing Increasing This production function has Constant returns to scale Decreasing returns to scale O Increasing returns to scale None of the other answers is correct Does the production function have a diminishing technical rate of substitution? No Yes
Any function y =f (v) is homogeneous of degree α if for all λ> 0, f (λv) = λαf(v). Consider the production function y = f (L, K), which we assume is homogeneous of degree one, so that f (λL, λK) = λf (L, K). Now differentiate this expression with respect to L, and answer the following: Is the marginal product fL(L, K) homogeneous, and of what degree? Use the expression you have obtained to show that fL(L/K, 1) = fL(L, K).