Consider a production function: Q = f (L), where Q represents the output and L is the factor of production. Let w be the per unit price of factor L and p be the per unit price of output Q. Using the Envelope theorem determine the supply function and the factor demand function.
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Consider a production function: Q = f (L), where Q represents the output and L is the
factor of production. Let w be the per unit price of factor L and p be the per unit price of
output Q. Using the Envelope theorem determine the supply function and the factor
demand function.
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- Suppose that the supply of labor function is given by W = A + BL. What is the corresponding MFC function?Given the production function y= f(x1,x2)=x11/3x21/3. The amount of x2 is equal to 216 in the short run. Calculate the factor demand function Given the product price (P) is 6 and the price of factor 1 (w1) is 12, calculate the optimum amount of factor 1. Show your results on a graph.If the demand for soccer tickets increases, why would an economist expect the salaries of soccer players to increase? because of the reduction in the supply of world-class soccer players because of the demand for an input being a derived demand because of the change in the opportunity cost of building new stadiums because of the principle of diminishing marginal product
- A firm can manufacture a product according to the production function Q = 2(K)1/2 (L)1/2 where K represents capital equipment and L is labor. The company has already spent $10,000 on the 4 units capital. a. Please show the expression for the average product of labor, APL and the marginal product of labor, MPL. b. If workers at the firm are paid a competitive wage of $100 and the product is sold for $200 each, what is optimal level of labor usage and what is the maximum profit?Let a firm's production function be f(K, L) = min{2K, L}. a) Solve for the contingent demand functions for K and L.Find the supply function as well as the unconditional factor demand functions fo captal and labor for a firm which has a production function f(K,L) = In K + VT.
- A firm’s total expenditure E on inputs is determined by the formula E = PKK + PLL where K is the amount of input K used, L is the amount of input L used, PK is the price per unit of K and PL is the price per unit of L. Is one unique value for E determined by any given set of values for K, L, PK and PL? Does this mean that any one particular value for E must always correspond to the same set of values for K, L, PK and PL?Consider a Cobb-Douglas production function:f(l, k) = Alα k1−α,where A is the total factor of productivity (a constant greater than 1), 0 < α < 1, lrepresentslabor, and k represents capital. The following sub-questions will guide you through showing thatthe elasticity of substitution is constant.a) Find the marginal product of labor. Verify that this production function exhibits diminishingmarginal productivity of labor. b) Find the marginal product of capital. Verify that this production function exhibits diminishingmarginal productivity of capital. c) Find the marginal rate of technical substitution. Write your answer as MRT S = . . . d) In part (C), you should’ve found the MRTS as a function of the input ratio, kl. Take theabsolute value of both sides and solve for the input ratio, so that the expression gives theinput ratio as a function of MRTS (i.e. kl = . . .). Take the log of both sides, then take thederivative with respect to the log of MRTS. Is the elasticity of…Pick the correct answer and explain in steps
- The Constant Elasticity of Substitution (CES) production function is a flexible way to de- scribe 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 substi- tution 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(KN)=[αK² +(1−a]N₁°]¹/º, 0A 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 0Answer "What is the steady-state level of output"SEE MORE QUESTIONSRecommended textbooks for you
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