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- If the production function is F(K,L)=A∗K0.4L0.6 then what is the marginal rate of technical substitutionFind the marginal rate of technical substitution for inputs k and 1 of this production function q = k + l.Given the production function y=(l^p+K^p)^1/p, what is the technical rate of substitution and the the returns to scale when p=0.5?
- Find the production function, the Technical rate of substitution, and the elasticity of scaleConsider the following production function:F (K ,L) = 2K(a) Graph at least two isoquants and clearly identify at least one point in each Obtain the marginal rate of technical substitution (be sure to present all steps in your calculation).Joe owns a small coffee shop. His production function is q = 2K0.5 L where q is the number of cups of coffee produces, K is the number of coffee machines, and L is the number of employees. a) If K=1 and L=2, the marginal rate of technical substitution is _________. b) If, starting from 1 machine and 2 employees, Joe hires one more employee, then he can produce the same quantity of cups of coffee with _________ less machines.
- Consider the following production functions F(L,K)=LK^3 F(L,K)=L+3K (a) Discuss if each marginal product is diminishing, constant or increasing (b) Calculate the marginal rate of technical substitution (c) Calculate if the function exhibits constant,increasing, or diminishing returns to scaleTrue or False? This marginal cost function is the derivative of the production function.For each of the following examples, draw a representative isoquant. What can you say about the marginal rate of technical substitution in each case? a) A firm finds that it can always trade two units of labor for one unit of capital and still keep output constant. b) A firm requires exactly two full-time workers to operate each piece of machinery in the factory.
- The production function of a firm is f(x, y) = x + y. The marginal product of input xdiminishes with an increase of x.• True• False Please explain!According to microeconomic theory, an input factor may be: a. Fixed in the short run, but will always be variable in the long run. b. Fixed in the short run, and fixed or variable in the long run. c. Variable in the short run, but will always fixed in the long run. d. Either fixed or flexible in the short run, and either fixed or flexible in the long run.Can you please check my answers for the following question? Mandy owns a small coffee shop. Her production function is q=2K0.5L where q is the number of cups of coffee produces, K is the number of coffee machines, and L is the number of employees. If K=10 and L=20, the marginal rate of technical substitution is: 1 MLP= 2K0.5 MLK = L/K0.5 MRTS= 2K/L = 2(10)/20 =1 MRTS = w/r Starting from 10 machines and 20 employees, if Joe hires one more employee, then he can use ______ fewer machine(s) and still produce the same quantity of coffee. 1 fewer machine