a. Demonstrate that the production functions satisfy the conditions formonotonically increasing, diminishing return to labor, and constant returns toscale.b. If labor markets are perfectly competitive, in each sector the value of the marginalproduct of labor will be equal to the wage rate. Write these two conditions. Makesure to base your answer on the provided production functions. Specific Factors Model: Consider an economy with two goods – corn (C) and potatoes(P) – both produced using labor. The technologies for the two sectors are given by thefollowing Cobb-Douglas production functions:1-aQc= Ac K“ LcQp = Ap T Lp'BWhere 0

Given information An economy producing 2 goods Corn and potatoes Production function for Corn…

Answered: Demonstrate that the production…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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What is the optimal combination of Capital and Labor under the goal of cost minimization in the long run? [MR=Marginal Revenue, MC=Marginal Cost, MPL=Marginal Product of Labor, MPK=Marginal Product of Capital, K=Capital, L=Labor, PL =Price of Labor, PK =Price of Capital]
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's Optimization with CES Production Function The Constant Elasticity of Substitution (CES) production function is a flexible way to describe how a firm combines capital and labor to produce output, allowing for different levels of substitutability between the two inputs. The elasticity of substitution, denoted by σ, measures how easily the firm can substitute capital for labor (or vice versa) while maintaining the same output level. The parameter p is related to the elasticity of substitution by the formula σ = 1/(1 - p). Now, let's consider a firm that operates for two periods (t and t + 1) and produces output according to the CES production function: F(Kt, Nt) = [aK{ + (1 − a)N]¹º 0
A firm employs labor and capital by paying $40 per unit of labor employed and $200 per hour to rent a unit of capital. The production function is given by: Q=60L-2L^2+180K-3K^2, where Q is total output. Determine the firm's optimal combination of capital (K) and labor (L)?
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.
Hi, please help with the question
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
Consider the production function q=√L+8K^(3). Starting from the input combination (3,6), does the production function exhibit increasing, constant or decreasing returns to scale if inputs double?
Solve the attahment.
The Cobb-Douglas production function with output Q and capital and labor inputs K and L, respectively, is given by: Q = f(K,L) = K«LB where 0 < a <1 and 0
Consider the following production function: Q = 3K + 6L where K is Capital, L is Labour and Q represents output. What kind of production function (perfect substitutes, imperfect substitutes, perfect complements etc) does this equation represent? Explain your answer clearly.

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